Mathias Legrand

97 %
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Publications

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Introductory Tutorial on Nonlinear Modal Analysis Through an Academic Vibro-Impact Oscillator

Mathias Legrand

Cyril Touzé; Attilio Frangi. Model Order Reduction for Design, Analysis and Control of Nonlinear Vibratory Systems, 614, pp.277-298, 2024, CISM International Centre for Mechanical Sciences, ⟨10.1007/978-3-031-67499-0_6⟩

Chapitre d'ouvrage hal-04599802v1
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Nonsmooth modal analysis: from the discrete to the continuous settings

Anders Thorin , Mathias Legrand

Remco Leine; Vincent Acary; Olivier Brüls. Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics, Springer, pp.191-234, 2018, 9783319759715. ⟨10.1007/978-3-319-75972-2_5⟩

Chapitre d'ouvrage hal-01771849v1
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Homogenization framework for rigid and non-rigid foldable origami metamaterials

Xuwen Li , Amin Jamalimehr , Mathias Legrand , Damiano Pasini

Journal of the Mechanics and Physics of Solids, 2026, 209, ⟨10.1016/j.jmps.2026.106519⟩

Article dans une revue hal-05237249v2
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Added nonlinear damping of homogenized fluid-saturated microperforated plates in Forchheimer flow regime

Lucie Gallerand , Mathias Legrand , Raymond Panneton , Philippe Leclaire​ , Thomas Dupont

Journal of Sound and Vibration, 2025, pp.119018. ⟨10.1016/j.jsv.2025.119018⟩

Article dans une revue hal-04528668v2
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Thermomechanical transient dynamics of radial rotor-stator contact

Coline Jacobs , Fabrice Thouverez , Mathias Legrand , Patricio Almeida

Journal of Sound and Vibration, 2025, ⟨10.1016/j.jsv.2025.119207⟩

Article dans une revue hal-04558059v2
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Biodynamic responses of the human hand-arm system under nail gun shock vibration and differences between males and females

Maxime Vincent , Akira Engelbrecht , Marc-André Gaudreau , Mathias Legrand , Thomas Dupont et al.

International Journal of Industrial Ergonomics, 2025, 113, pp.103913. ⟨10.1016/j.ergon.2026.103913⟩

Article dans une revue hal-05044707v2
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An Equality-Based Weighted Residual Formulation for the Vibration of Systems with Two-Dimensional Friction

Arash Hashemi , Christophe Pierre , Mathias Legrand

Journal of Structural Dynamics, 2025, 3, pp.127-155. ⟨10.25518/2684-6500.282⟩

Article dans une revue hal-04852967v2
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Damping performance of finite microperforated plates using multi-size and spatial distributions of perforations

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Raymond Panneton , Philippe Leclaire​

Applied Acoustics, 2024, ⟨10.1016/j.apacoust.2024.110041⟩

Article dans une revue hal-04122565v3
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A compact, equality-based weighted residual formulation for periodic solutions of systems undergoing frictional occurrences

Mathias Legrand , Christophe Pierre

Journal of Structural Dynamics, 2024, 2, pp.144-170. ⟨10.25518/2684-6500.190⟩

Article dans une revue hal-04189699v2
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Nonsmooth Modal Analysis of a Varying Cross-Sectional Area Bar in Unilateral Contact

David Urman , Mathias Legrand

Journal of Sound and Vibration, 2023, 545, pp.117385. ⟨10.1016/j.jsv.2022.117385⟩

Article dans une revue hal-03619197v2
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Harmonic Balance based Nonsmooth Modal Analysis of unilaterally constrained discrete systems

Tianzheng Lu , Mathias Legrand

Nonlinear Dynamics, 2023, 112, pp.1619-1640. ⟨10.1007/s11071-023-09014-4⟩

Article dans une revue hal-03970830v2
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First return time to the contact hyperplane for n-degree-of-freedom vibro-impact systems

Huong Le Thi , Stéphane Junca , Mathias Legrand

Discrete and Continuous Dynamical Systems - Series B, 2022, 27 (1), pp.1-44. ⟨10.3934/dcdsb.2021031⟩

Article dans une revue hal-01957546v2
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Vibration and damping analysis of a thin finite-size microperforated plate

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Philippe Leclaire​

Journal of Sound and Vibration, 2022, 541, pp.117295. ⟨10.1016/j.jsv.2022.117295⟩

Article dans une revue hal-03634548v2
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D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact

David Urman , Mathias Legrand , Stéphane Junca

Nonlinear Analysis: Hybrid Systems, 2021, ⟨10.1016/j.nahs.2021.101115⟩

Article dans une revue hal-02984137v2
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Nonsmooth Modal Analysis via the Boundary Element Method for one-dimensional bar systems

Tianzheng Lu , Mathias Legrand

Nonlinear Dynamics, 2021, ⟨10.1007/s11071-021-06994-z⟩

Article dans une revue hal-03206114v2
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Dynamics of inverted flags: Experiments and comparison with theory

Mohammad Tavallaeinejad , Manuel Flores Salinas , Michael Païdoussis , Mathias Legrand , Mojtaba Kheiri et al.

Journal of Fluids and Structures, 2021, 101, pp.103199. ⟨10.1016/j.jfluidstructs.2020.103199⟩

Article dans une revue hal-03124681v1
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Flapping of heavy inverted flags: a fluid-elastic instability

Mohammad Tavallaeinejad , Michael Païdoussis , Manuel Flores Salinas , Mathias Legrand , Mojtaba Kheiri et al.

Journal of Fluid Mechanics, 2020, 904, ⟨10.1017/jfm.2020.758⟩

Article dans une revue hal-02966192v1
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Instability and the post-critical behaviour of two-dimensional inverted flags in axial flow

Mohammad Tavallaeinejad , Michael Païdoussis , Mathias Legrand , Mojtaba Kheiri

Journal of Fluid Mechanics, 2020, 890, ⟨10.1017/jfm.2020.111⟩

Article dans une revue hal-02520870v1
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Nonlinear dynamics of slender inverted flags in uniform steady flows

Mohammad Tavallaeinejad , Mathias Legrand , Michael Païdoussis

Journal of Sound and Vibration, 2019, ⟨10.1016/j.jsv.2019.115048⟩

Article dans une revue hal-02342918v1
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Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases

Huong Le Thi , Stéphane Junca , Mathias Legrand

Nonlinear Analysis: Hybrid Systems, 2018, 28, pp.54-74. ⟨10.1016/j.nahs.2017.10.009⟩

Article dans une revue hal-01305719v2
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Phenomenological modeling of abradable wear in turbomachines

Bérenger Berthoul , Alain Batailly , Laurent Stainier , Mathias Legrand , Patrice Cartraud

Mechanical Systems and Signal Processing, 2018, 98, pp.770-785. ⟨10.1016/j.ymssp.2017.05.020⟩

Article dans une revue hal-01569316v1
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Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction

Nicolas Guérin , Anders Thorin , Fabrice Thouverez , Mathias Legrand , Patricio Almeida

Journal of Engineering for Gas Turbines and Power, 2018, 141 (2), ⟨10.1115/1.4040858⟩

Article dans une revue hal-01989175v1
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Nonsmooth modal analysis of an elastic bar subject to a unilateral contact constraint

Carlos Yoong , Anders Thorin , Mathias Legrand

Nonlinear Dynamics, 2018, 91 (4), pp.2453-2476. ⟨10.1007/s11071-017-4025-9⟩

Article dans une revue hal-01471341v2
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Nonsmooth Thermoelastic Simulations of Blade–Casing Contact Interactions

Anders Thorin , Nicolas Guérin , Mathias Legrand , Fabrice Thouverez , Patricio Almeida

Journal of Engineering for Gas Turbines and Power, 2018, 141 (2), ⟨10.1115/1.4040857⟩

Article dans une revue hal-01989188v1
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Nonlinear static response of low-aspect-ratio inverted flags subjected to a steady flow

Mohammad Tavallaeinejad , Michael Païdoussis , Mathias Legrand

Journal of Fluids and Structures, 2018, 83, pp.413-428. ⟨10.1016/j.jfluidstructs.2018.09.003⟩

Article dans une revue hal-01745147v2
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Nonsmooth modal analysis of a $N$-degree-of-freedom system undergoing a purely elastic impact law

Mathias Legrand , Stéphane Junca , Sokly Heng

Communications in Nonlinear Science and Numerical Simulation, 2017, 45, pp.190-219. ⟨10.1016/j.cnsns.2016.08.022⟩

Article dans une revue hal-01185980v2
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Non-smooth modal analysis of piecewise-linear impact oscillators

Anders Thorin , Pierre Delezoide , Mathias Legrand

SIAM Journal on Applied Dynamical Systems, 2017, 16 (3), pp.1710-1747. ⟨10.1137/16M1081506⟩

Article dans une revue hal-01298983v2
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Periodic solutions of $n$-dof autonomous vibro-impact oscillators with one lasting contact phase

Anders Thorin , Pierre Delezoide , Mathias Legrand

Nonlinear Dynamics, 2017, 90 (3), pp.1771-1783. ⟨10.1007/s11071-017-3763-z⟩

Article dans une revue hal-01505888v1
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Full Three-Dimensional Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular Speed

Alain Batailly , Mathias Legrand , Christophe Pierre

Journal of Engineering for Gas Turbines and Power, 2017, 139 (3), pp.031202. ⟨10.1115/1.4034503⟩

Article dans une revue hal-01388425v2
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Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material

Ivan Breslavsky , Marco Amabili , Mathias Legrand

Journal of Applied Mechanics, 2016, 83 (5), pp.051002. ⟨10.1115/1.4032549⟩

Article dans une revue hal-01306523v1
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Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes

Ivan Breslavsky , Marco Amabili , Mathias Legrand , Farbod Alijani

International Journal of Non-Linear Mechanics, 2016, 84, pp.39-45. ⟨10.1016/j.ijnonlinmec.2016.04.011⟩

Article dans une revue hal-01339533v1
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Two-dimensional modeling of unilateral contact-induced shaft precessional motions in bladed-disk/casing systems

Nicolas Salvat , Alain Batailly , Mathias Legrand

International Journal of Non-Linear Mechanics, 2015, ⟨10.1016/j.ijnonlinmec.2015.10.001⟩

Article dans une revue hal-01223046v1
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Conjectural bifurcation analysis of the contact-induced vibratory response of an aircraft engine blade

Alain Batailly , Mathias Legrand , Antoine Millecamps , François Garcin

Journal of Sound and Vibration, 2015, 348, pp.239-262. ⟨10.1016/j.jsv.2015.03.005⟩

Article dans une revue hal-01223575v1
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Unilateral contact induced blade/casing vibratory interactions in impellers: Analysis for rigid casings

Alain Batailly , Markus Meingast , Mathias Legrand

Journal of Sound and Vibration, 2015, 17, pp.244-262. ⟨10.1016/j.jsv.2014.10.010⟩

Article dans une revue hal-01120157v1
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Unilateral contact induced blade/casing vibratory interactions in impellers: Analysis for flexible casings with friction and abradable coating

Alain Batailly , Mathias Legrand

Journal of Sound and Vibration, 2015, 348, pp.344-364. ⟨10.1016/j.jsv.2015.03.027⟩

Article dans une revue hal-01222732v1
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Redesign of a High-Pressure Compressor Blade Accounting for Nonlinear Structural Interactions

Alain Batailly , Mathias Legrand , Antoine Millecamps , Sébastien Cochon , François Garcin

Journal of Engineering for Gas Turbines and Power, 2014, 137 (2), pp.022502. ⟨10.1115/1.4028263⟩

Article dans une revue hal-01120158v1
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Nonlinear vibrations of thin hyperelastic plates

Ivan Breslavsky , Marco Amabili , Mathias Legrand

Journal of Sound and Vibration, 2014, pp.1001002. ⟨10.1016/j.jsv.2014.04.028⟩

Article dans une revue hal-00983980v1
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A linear complementarity problem formulation for periodic solutions to unilateral contact problems

Markus Meingast , Mathias Legrand , Christophe Pierre

International Journal of Non-Linear Mechanics, 2014, 66, pp.18-27. ⟨10.1016/j.ijnonlinmec.2014.01.007⟩

Article dans une revue hal-00955647v1
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The computation of wavelet-Galerkin three-term connection coefficients on a bounded domain

Simon Jones , Tonghua Zhang , Mathias Legrand

Progress in Applied Mathematics, 2014, 7 (1), pp.1-8. ⟨10.3968/5016⟩

Article dans une revue hal-01059821v1
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Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method

Simon Jones , Mathias Legrand

International Journal for Numerical Methods in Engineering, 2014, 101 (5), pp.351-374. ⟨10.1002/nme.4807⟩

Article dans une revue hal-00806545v2
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On Solving One-Dimensional Partial Differential Equations With Spatially Dependent Variables Using the Wavelet-Galerkin Method

Simon Jones , Mathias Legrand

Journal of Applied Mechanics, 2013, ⟨10.1115/1.4023637⟩

Article dans une revue hal-01330602v1
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Modeling of abradable coating removal in aircraft engines through delay differential equations

Nicolas Salvat , Alain Batailly , Mathias Legrand

Journal of Engineering for Gas Turbines and Power, 2013, 135 (10), ⟨10.1115/1.4024959⟩

Article dans une revue hal-00976915v2
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Physically and geometrically non-linear vibrations of thin rectangular plates

Ivan Breslavsky , Marco Amabili , Mathias Legrand

International Journal of Non-Linear Mechanics, 2013, 58, pp.30-40. ⟨10.1016/j.ijnonlinmec.2013.08.009⟩

Article dans une revue hal-00864370v1
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Numerical-experimental confrontation in the simulation of tool/abradable material interaction

Alain Batailly , Marion Cuny , Mathias Legrand , Sylvain Philippon

Journal of Engineering for Gas Turbines and Power, 2013, 135 (6), pp.062102. ⟨10.1115/1.4023262⟩

Article dans une revue hal-00826981v1
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Numerical-experimental comparison in the simulation of rotor/stator interaction through blade-tip/abradable coating contact

Alain Batailly , Mathias Legrand , Antoine Millecamps , François Garcin

Journal of Engineering for Gas Turbines and Power, 2012, 134 (8), ⟨10.1115/1.4006446⟩

Article dans une revue hal-00746632v1
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Full three-dimensional investigation of structural contact interactions in turbomachines

Mathias Legrand , Alain Batailly , Benoit Magnain , Patrice Cartraud , Christophe Pierre

Journal of Sound and Vibration, 2012, 331 (11), pp.2578-2601. ⟨10.1016/j.jsv.2012.01.017⟩

Article dans une revue hal-00660863v3
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Nonlinear Modal Analysis of Mechanical Systems with Frictionless Contact Interfaces

Denis Laxalde , Mathias Legrand

Computational Mechanics, 2011, In press. ⟨10.1007/s00466-010-0556-3⟩

Article dans une revue hal-00492775v2
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Numerical investigation of abradable coating removal in aircraft engines through plastic constitutive law

Mathias Legrand , Alain Batailly , Christophe Pierre

Journal of Computational and Nonlinear Dynamics, 2011, 7 (1), ⟨10.1115/1.4004951⟩

Article dans une revue hal-00627526v1
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Modélisation plastique bi-linéaire de l'usure de matériaux abradables : application aux turbo-machines

Mathias Legrand , Christophe Pierre

Mechanics & Industry, 2010, 11, pp.283-288. ⟨10.1051/meca/2010030⟩

Article dans une revue hal-00551922v1
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Assessment of reduced models for the detection of modal interaction through rotor stator contacts

Alain Batailly , Mathias Legrand , Patrice Cartraud , Christophe Pierre

Journal of Sound and Vibration, 2010, 329 (26), pp.5546-5562. ⟨10.1016/j.jsv.2010.07.018⟩

Article dans une revue hal-00524762v1
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Structural modal interaction of a four-degree-of-freedom bladed disk and casing model

Mathias Legrand , Christophe Pierre , Bernard Peseux

Journal of Computational and Nonlinear Dynamics, 2010, 5 (4), pp.13-41. ⟨10.1115/1.4001903⟩

Article dans une revue hal-00522524v1
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Modeling of a rotor speed transient response with radial rubbing

Sébastien Roques , Mathias Legrand , Patrice Cartraud , Carlo Stoisser , Christophe Pierre

Journal of Sound and Vibration, 2010, 329 (5), pp.527-546. ⟨10.1016/j.jsv.2009.09.016⟩

Article dans une revue hal-00431223v1
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Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction

Mathias Legrand , Christophe Pierre , Patrice Cartraud , Jean-Pierre Lombard

Journal of Sound and Vibration, 2009, 319 (1-2), pp.366-391. ⟨10.1016/j.jsv.2008.06.019⟩

Article dans une revue hal-00328186v2
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A sparse preconditioned iterative method for vibration analysis of geometrically mistuned bladed disks

Vladislav Ganine , Mathias Legrand , Hannah Michalska , Christophe Pierre

Computers & Structures, 2009, 87 (5-6), pp.342-354. ⟨10.1016/j.compstruc.2008.12.011⟩

Article dans une revue hal-00363296v1
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n-dimensional Harmonic Balance Method extended to non-explicit nonlinearities

Mathias Legrand , Sébastien Roques , Christophe Pierre , Patrice Cartraud , Bernard Peseux

Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2006, 15 (1-2-3), pp.269-280. ⟨10.3166/remn.15.269-280⟩

Article dans une revue hal-00354486v2
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Nonlinear Normal Modes of a Rotating Shaft Based on the Invariant Manifold Method

Mathias Legrand , Dongying Jiang , Christophe Pierre , Steven Shaw

International Journal of Rotating Machinery, 2002, ⟨10.1155/S1023621X04000338⟩

Article dans une revue hal-01315570v1
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Reduced Thermomechanical Model of Transient Rotordynamics Resulting From Radial Rotor-Stator Contact

Coline Jacobs , Mathias Legrand , Fabrice Thouverez , Patricio Almeida

ASME TurboExpo, Jun 2026, Milan, Italy

Communication dans un congrès hal-05548487v1
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Linear Stability Analysis of Two Parallel Inverted Flags in Axial Flow

Shaoguang Wang , Mathias Legrand , Michael P Païdoussis

7th Symposium on Fluid-Structure-Sound Interactions and Control, Jul 2025, Toronto, Canada

Communication dans un congrès hal-05206840v1
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An equality-based frequency domain formulation for the fretting wear of vibrating structures with frictional contact

Sebastian Mcdonald , Mathias Legrand , Christophe Pierre

8th International Conference on Computational Contact Mechanics, Jul 2025, Munich, Germany

Communication dans un congrès hal-05308784v1

Réduction du rayonnement acoustique de plaques et de coques à l’aide de microperforations

Lucie Gallerand , Mathias Legrand , Nicolas Dauchez , Raymond Panneton , Philippe Leclaire et al.

CFA 2025 - 17e Congrès Français d'Acoustique, Société Française d'Acoustique (SFA), Apr 2025, Paris, France

Communication dans un congrès hal-05365890v1
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Equality-based weighted residual formulation for the forced vibration of a beam with an attached friction damper

Arash Hashemi , Christophe Pierre , Mathias Legrand

8th International Conference on Computational Contact Mechanics (ICCCM 2025), Jul 2025, Munich, Germany. pp.1-2

Communication dans un congrès hal-05308557v1
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Acoustic radiation of a fluid-saturated microperforated plate

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Raymond Panneton , Philippe Leclaire

Inter-Noise 2024, Aug 2024, Nantes, France. pp.5304-5310, ⟨10.3397/IN_2024_3571⟩

Communication dans un congrès hal-04484935v1
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Résolution par résidus pondérés d'une formulation sous forme d'égalités de systèmes vibratoires avec frottement de Coulomb

Mathias Legrand , Christophe Pierre

16ème Colloque National en Calcul de Structures (CSMA 2024), CNRS; CSMA; ENS Paris-Saclay; CentraleSupélec, May 2024, Hyères, France

Communication dans un congrès hal-04521553v1
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Vibration behavior of a microperforated plate within an acoustic nonlinear framework

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Raymond Panneton , Philippe Leclaire

Inter-Noise 2024, Aug 2024, Nantes, France. pp.5382-5388, ⟨10.3397/IN_2024_3581⟩

Communication dans un congrès hal-04484934v1
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Vibrational damping properties of finite microperforated plates

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Philippe Leclaire

Internoise 2022, Aug 2022, Glasgow, United Kingdom. pp.5343-5349, ⟨10.3397/IN_2022_0778⟩

Communication dans un congrès hal-03753469v1

Added viscous damping in a finite-size microperforated plate within a nonlinear framework

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Philippe Leclaire​

EURODYN 2023, Jul 2023, Delft, Netherlands

Communication dans un congrès hal-04035493v1
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Turbomachinery transient dynamics of radial rotor-stator contact occurrences with friction

Coline Jacobs , Mathias Legrand , Fabrice Thouverez , Patricio Almeida

ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition, Jun 2023, Boston, United States. ⟨10.1115/GT2023-102198⟩

Communication dans un congrès hal-04197339v1
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Dynamics of Two Parallel Inverted Flags in Axial Flow

Shaoguang Wang , Mathias Legrand , Michael Païdoussis

International Mechanical Engineering Congress & Exposition (IMECE2023), Oct 2023, New Orleans, United States. ⟨10.1115/IMECE2023-112706⟩

Communication dans un congrès hal-04188741v1
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Compact weighted residual formulation for periodic solutions of systems undergoing frictional occurrences

Mathias Legrand , Christophe Pierre

IUTAM Symposium on Nonlinear dynamics for design of mechanical systems across different length/time scales, Jul 2023, Tsukuba, Japan. pp.152-153

Communication dans un congrès hal-04201237v1
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Added viscous damping in microperforated plates within a nonlinear acoustic regime

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Raymond Panneton , Philippe Leclaire​

Acoustic Week in Canada, Oct 2023, Montréal Québec, Canada

Communication dans un congrès hal-04186463v1
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Vibration of microperforated plate with spatial distribution of multiple-sized perforations

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Philippe Leclaire

Internoise 2023, Aug 2023, Chiba, Japan. pp.5568-5574, ⟨10.3397/IN_2023_0790⟩

Communication dans un congrès hal-04186252v1

An Equality-Based Formulation for Vibrating Systems with Friction

Mathias Legrand , Christophe Pierre

Nodycon 2023, Jun 2023, Rome, Italy

Communication dans un congrès hal-04201054v1

Equality-Based Weighted Residual Formulation for Periodic Solutions of Dry Friction Damped Systems

Mathias Legrand , Christophe Pierre

IDETC-CIE 2023, ASME, Aug 2023, Boston, United States

Communication dans un congrès hal-04201052v1
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Nonsmooth Modal Analysis of Varying Cross-section Bar

Tianzheng Lu , Mathias Legrand

10th European Nonlinear Dynamics Conference (ENOC 2022), Jul 2022, Lyon, France

Communication dans un congrès hal-03751776v1
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Compact weighted residual formulation for periodic solutions of systems undergoing unilateral contact and frictional occurrences

Mathias Legrand , Christophe Pierre

10th European Nonlinear Oscillations Conference (ENOC 2022), Jul 2022, Lyon, France

Communication dans un congrès hal-03751780v1
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Nonsmooth Modal Analysis of a Rectangular Plate in Unilateral Contact

David Urman , Mathias Legrand

10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France

Communication dans un congrès hal-03753823v1

Comportement vibratoire des plaques microperforées finies

Lucie Gallerand , Mathias Legrand , Thomas Dupont , Philippe Leclaire​

16e Congrès français d'acoustique CFA2022, Apr 2022, Marseille, France

Communication dans un congrès hal-03655705v1
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Nodal-Boundary Finite-Element Method for the Signorini Problem In Two Dimensions

David Urman , Mathias Legrand

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2021, Virtual, Online, United States

Communication dans un congrès hal-04010691v1
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Nonsmooth modal analysis of a two-bar system via Boundary Element Method

Tianzheng Lu , Mathias Legrand

ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2021), Aug 2021, (Virtual), United States

Communication dans un congrès hal-04029283v1
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Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraint

Carlos Yoong , Mathias Legrand

37th IMAC: A Conference and Exposition on Structural Dynamics, Society for Experimental Mechanics, Jan 2019, Orlando, United States. pp.1-10, ⟨10.1007/978-3-030-12391-8_1⟩

Communication dans un congrès hal-01918511v2
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Why inverted flags flap: An experimental study

Mohammad Tavallaeinejad , Michael Païdoussis , Manuel Flores Salinas , Mathias Legrand , Mojtaba Kheiri et al.

Second International Symposium on Flutter and its Application (ISFA2020), May 2020, Paris, France

Communication dans un congrès hal-02482212v1

Nodal-Boundary Finite-Element Method for Periodic Solutions of Signorini Problems

David Urman , Mathias Legrand

EURODYN 2020 XI International Conference on Structural Dynamics, Nov 2020, Athènes, Greece

Communication dans un congrès hal-03183151v1
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Nonsmooth modal analysis with boundary element method

Tianzheng Lu , Mathias Legrand

XI International Conference on Structural Dynamics, Nov 2020, Athènes, Greece. pp.205-212, ⟨10.47964/1120.9016.19060⟩

Communication dans un congrès hal-03136267v1
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Nonlinear modal analysis of the bar in unilateral contact via analytical weak-solutions to the wave equation

David Urman , Mathias Legrand

27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada

Communication dans un congrès hal-02151373v1
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Influence of an initial incidence angle on the dynamics of inverted flags

Mohammad Tavallaeinejad , Michael Païdoussis , Mathias Legrand , Mojtaba Kheiri

27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada

Communication dans un congrès hal-02151372v1
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Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraint

Carlos Yoong , Mathias Legrand

First International Nonlinear Dynamics Conference (Nodycon 2019), Feb 2019, Rome, Italy

Communication dans un congrès hal-02277579v1
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A fluidelastic model for the nonlinear dynamics of two-dimensional inverted flags

Mohammad Tavallaeinejad , Michael Païdoussis , Mathias Legrand , Mojtaba Kheiri

ASME 2019 Pressure Vessels & Piping Conference (PVP2019), Jul 2019, San Antonio, United States. ⟨10.1115/PVP2019-93576⟩

Communication dans un congrès hal-02279080v1
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Nonlinear dynamics of slender inverted flags in axial flow

Mohammad Tavallaeinejad , Mathias Legrand , Michael Païdoussis

9th International Symposium on Fluid-Structure Interactions, Flow-Sound Interactions, Flow-Induced Vibration & Noise, Jul 2018, Toronto, Canada

Communication dans un congrès hal-01812870v1
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Thermomechanical model reduction for efficient simulations of rotor-stator contact interaction

Nicolas Guérin , Anders Thorin , Fabrice Thouverez , Mathias Legrand , Patricio Almeida

ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75880⟩

Communication dans un congrès hal-01713849v1
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Nonsmooth thermoelastic simulations of blade-casing contact interactions

Anders Thorin , Nicolas Guérin , Mathias Legrand , Fabrice Thouverez , Patricio Almeida

ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75959⟩

Communication dans un congrès hal-01713919v1
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Rotor-stator interaction: formulation, reduction and simulation of a nonsmooth thermo-elastic model

Anders Thorin , Nicolas Guérin , Mathias Legrand

17th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Dec 2017, Maui, United States

Communication dans un congrès hal-01871945v1
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Spectrum of an impact oscillator via nonsmooth modal analysis

Anders Thorin , Mathias Legrand

9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary

Communication dans un congrès hal-01509382v1
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Spectre vibratoire d'un oscillateur discret à impacts

Anders Thorin , Mathias Legrand

13e colloque national en calcul des structures (CSMA 2017), Université Paris-Saclay, May 2017, Giens, Var, France

Communication dans un congrès hal-01926322v1
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Nonlinear modal analysis of a one-dimensional bar undergoing unilateral contact via the time-domain boundary element method

Jayantheeswar Venkatesh , Anders Thorin , Mathias Legrand

ASME 2017 International Design Engineering Technical Conferences, Aug 2017, Cleveland, United States. ⟨10.1115/DETC2017-68340⟩

Communication dans un congrès hal-01569943v1
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Modification of Moreau-Jean's Scheme for Energy Conservation in Inelastic Impact Dynamics

Carlos Yoong , Vincent Acary , Mathias Legrand

9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary

Communication dans un congrès hal-01569841v1
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Thermomechanical Component Mode Synthesis for blade casing interaction prediction

Nicolas Guérin , Fabrice Thouverez , Claude Gibert , Mathias Legrand , Patricio Almeida

ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Jun 2017, Charlotte, United States. ⟨10.1115/GT2017-64342⟩

Communication dans un congrès hal-01569918v1
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Impact dynamics near unilaterally constrained grazing orbits

Stéphane Junca , Huong Le Thi , Mathias Legrand , Anders Thorin

9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary

Communication dans un congrès hal-01562154v1
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Nonsmooth modal analysis for a one-dimensional finite bar subject to unilateral contact using the Wave Finite Element Method

Carlos Yoong , Anders Thorin , Mathias Legrand

The Fourth Joint International Conference on Multibody Systems Dynamics, May 2016, Montréal, Canada

Communication dans un congrès hal-01408111v1
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Nonsmooth modal analysis from elementary impact oscillators to turbomachines: limitations and avenues

Anders Thorin , Mathias Legrand

16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 2016), Apr 2016, Honolulu, HI, United States

Communication dans un congrès hal-01401772v1
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Nonlinear Modes of Vibration of Vibro-Impact Duffing Oscillators

David Urman , Mathias Legrand

24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montreal, Canada

Communication dans un congrès hal-01573247v1
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Dynamics of statically pre-loaded human aorta

Ivan Breslavsky , Marco Amabili , Mathias Legrand , Annie Ruimi

24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montréal, Canada

Communication dans un congrès hal-01575964v1
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Nonsmooth modal analysis of piecewise-linear impact systems

Anders Thorin , Pierre Delezoide , Mathias Legrand

24th International Congress of Theoretical and Applied Mechanics, Aug 2016, Montreal, Canada

Communication dans un congrès hal-01402551v1
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Full 3D Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular Speed

Alain Batailly , Mathias Legrand , Christophe Pierre

ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition, Jun 2016, Seoul, South Korea. ⟨10.1115/GT2016-56715⟩

Communication dans un congrès hal-04679431v1
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Snecma's Viewpoint on the Numerical and Experimental Simulation of Blade-Tip/Casing Unilateral Contacts

Antoine Millecamps , Alain Batailly , Mathias Legrand , François Garcin

ASME Turbo Expo Conference, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42682⟩

Communication dans un congrès hal-01223582v1
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Abradable coating removal in turbomachines: a macroscopic approach accounting for various wear mechanisms

Bérenger Berthoul , Alain Batailly , Mathias Legrand , Laurent Stainier , Patrice Cartraud

ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42500⟩

Communication dans un congrès hal-01188846v1
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Modélisation macroscopique des différents mécanismes d'usure d'un matériau abradable

Bérenger Berthoul , Alain Batailly , Laurent Stainier , Mathias Legrand , Patrice Cartraud

12e Colloque national en calcul des structures, CSMA; GeM; LMBS; LaSIE; LIMatB; LAMPA; LGCGM, May 2015, Giens, France

Communication dans un congrès hal-01402723v1
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The Wave Finite Element Method applied to a one-dimensional linear elastodynamic problem with unilateral constraints

Carlos Yoong , Anders Thorin , Mathias Legrand

The ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46919⟩

Communication dans un congrès hal-01194922v1
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Full 3D rotor/stator interaction simulations in aircraft engines with time dependent angular speed

Alain Batailly , Mathias Legrand , Christophe Pierre

CFM 2015 - 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France

Communication dans un congrès hal-03444757v1
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Nonsmooth modal analysis: Investigation of a 2-dof spring-mass system subject to an elastic impact law

Anders Thorin , Mathias Legrand , Stéphane Junca

International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46796⟩

Communication dans un congrès hal-01185973v1
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Nonlinear modes for a discrete mechanical system with rigid contact

Sokly Heng , Stéphane Junca , Mathias Legrand

11th World Congress on Computational Mechanics (WCCM XI), Jul 2014, Barcelona, Spain

Communication dans un congrès hal-03186031v1
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Two-dimensional modeling of shaft precessional motions induced by blade/casing unilateral contact in aircraft engines

Nicolas Salvat , Alain Batailly , Mathias Legrand

Turbo Expo, ASME, Jun 2014, Dusseldorf, Germany. ⟨10.1115/GT2014-25688⟩

Communication dans un congrès hal-01090671v2
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High-pressure compressor blade dynamics under aerodynamic and blade-tip unilateral contact forcings

Alain Batailly , Mathias Legrand , Antoine Millecamps , François Garcin

ASME Turbo Expo 2014, ASME, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25675⟩

Communication dans un congrès hal-01130542v1
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Vibrations of an Axial Bar Experiencing Periodic Unilateral Contact Using the Wavelet Balance Method

Simon Jones , Mathias Legrand

26th Conference on Mechanical Vibration and Noise, ASME, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-34725⟩

Communication dans un congrès hal-01403614v1
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Conjectural Bifurcation Analysis of an Aircraft Engine Blade Undergoing 3D Unilateral Contact Constraints

Alain Batailly , Mathias Legrand

ASME/IGTI Turbo Expo Conference, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25674⟩

Communication dans un congrès hal-01183448v1
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Vibration of a Square Hyperelastic Plate Around Statically Pre-Loaded State

Ivan Breslavsky , Mathias Legrand , Marco Amabili

ASME IDETC/CIE Conference, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-35382⟩

Communication dans un congrès hal-01195752v1
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Investigation of Rotor-Casing Interactions in the Centrifugal Compressor of a Helicopter Engine

Markus Meingast , Alain Batailly , Mathias Legrand , Jean-Philippe Ousty

ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, 2013, San Antonio, United States. ⟨10.1115/GT2013-94461⟩

Communication dans un congrès hal-02271334v1
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Modeling of abradable coating removal in aircraft engines through delay differential equations

Nicolas Salvat , Alain Batailly , Mathias Legrand

ASME Turbo Expo 2013, Jun 2013, San Antonio, United States. ⟨10.1115/1.4024959⟩

Communication dans un congrès hal-00879815v1
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Modélisation de l'enlèvement de matériau abradable à l'aide d'équations différentielles à retard

Nicolas Salvat , Alain Batailly , Mathias Legrand

11e Colloque national en calcul des structures, CSMA, May 2013, Giens, France

Communication dans un congrès hal-01104675v1
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Rotor-stator interaction scenarios for the centrifugal compressor of a helicopter engine

Alain Batailly , Markus Meingast , Mathias Legrand , Jean-Philippe Ousty

ASME IDETC Conference, Aug 2013, Portland, United States. pp.IDETC-12211, ⟨10.1115/DETC2013-12211⟩

Communication dans un congrès hal-00851396v1
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Large Amplitude Vibrations of Thin Hyperelastic Plates: Neo-Hookean Model

Ivan Breslavsky , Marco Amabili , Mathias Legrand

ASME 2013 International Mechanical Engineering Congress and Exposition, Nov 2013, San Diego, United States. ⟨10.1115/IMECE2013-62253⟩

Communication dans un congrès hal-01933743v1
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A qualitative numerical analysis of rotor-casing interactions in centrifugal compressors of helicopter engines

Markus Meingast , Alain Batailly , Mathias Legrand , Jean-Philippe Ousty

ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Aug 2013, Portland, United States. ⟨10.1115/DETC2013-12212⟩

Communication dans un congrès hal-00851397v1
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Numerical study of a rotor/stator interaction case experimentally simulated with an industrial compressor

Alain Batailly , Mathias Legrand , Millecamps Antoine , François Garcin

ASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.1053-1062, ⟨10.1115/GT2012-68173⟩

Communication dans un congrès hal-00714538v1
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The wavelet-Galerkin method for solving PDE's with spatially dependent variables

Simon Jones , Mathias Legrand

19th International Congress on Sound and Vibration (ICSV19), Jul 2012, Vilnius, Lithuania

Communication dans un congrès hal-00719744v1
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Numerical simulation of tool/abradable material interaction experiments

Alain Batailly , Marion Cuny , Mathias Legrand

ASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.51-60, ⟨10.1115/GT2012-68171⟩

Communication dans un congrès hal-00841147v1
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Performance of time-marching techniques dedicated to nonsmooth systems: a nonlinear modal analysis approach

Mathias Legrand , Denis Laxalde

Euromech 516 -- Nonsmooth contact and impact laws in mechanics, Jul 2011, Grenoble, France

Communication dans un congrès hal-00719781v1
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Influence of Abradable Coating Wear Mechanical Properties on Rotor Stator Interaction

Alain Batailly , Mathias Legrand , Christophe Pierre

ASME Turbo Expo: Turbine Technical Conference and Exposition, Jun 2011, Vancouver, Canada. ⟨10.1115/GT2011-45189⟩

Communication dans un congrès hal-00616524v1
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Validation of a 3D contact algorithm for the study of blade-tip/casing contacts in turbomachines

Alain Batailly , Benoit Magnain , Mathias Legrand , Christophe Pierre

8th IFToMM International Conference on Rotordynamics, Sep 2010, Séoul, South Korea

Communication dans un congrès hal-00533382v1
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Non-synchronous vibration of a Jeffcott rotor due to internal radial clearance in roller bearings

Jing Wu , Mathias Legrand , Christophe Pierre

8th IFToMM International Conference on Rotor Dynamics, KIST, Sep 2010, Seoul, South Korea. pp.446-453

Communication dans un congrès hal-00533285v1
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Evaluation of component mode synthesis methods for the detection of modal interaction through rotor/stator contacts

Alain Batailly , Mathias Legrand , Patrice Cartraud , Christophe Pierre , Jean-Pierre Lombard

ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2009, San Diego, United States. ⟨10.1115/DETC2009-87036⟩

Communication dans un congrès hal-00714528v1
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Modélisation plastique bi-linéaire de l'usure de matériaux abradables: application aux turbo-machines

Mathias Legrand , Christophe Pierre

9e colloque national en calcul des structures, May 2009, Giens, France

Communication dans un congrès hal-00390869v1
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Numerical investigation of abradable coating wear through plastic constitutive law: application to aircraft engines

Mathias Legrand , Christophe Pierre

ASME International Design Engineering Technical Conferences & Computers and Information in Engineering, Aug 2009, San Diego, United States. pp.907-916, ⟨10.1115/DETC2009-87669⟩

Communication dans un congrès hal-00413728v1
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Nonlinear Modal Analysis of Mechanical Systems with Frictionless Contact Interfaces

Denis Laxalde , Mathias Legrand , Christophe Pierre

ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2009, San Diego, United States. pp.DETC2009-87387, ⟨10.1115/DETC2009-87387⟩

Communication dans un congrès hal-00413696v1
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Evaluation d'une méthode de réduction modale pour la détection de cas d'interaction modale lors de contacts rotor stator

Alain Batailly , Mathias Legrand , Patrice Cartraud , Christophe Pierre , Jean-Pierre Lombard

Congrès Français de Mécanique, 2009, Marseille, France

Communication dans un congrès hal-00413704v1
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Modes non-linéaires appliqués aux problèmes de contact : application à une aube de turbomachine

Denis Laxalde , Mathias Legrand , Christophe Pierre

Colloque national en calcul des structures, May 2009, Giens, France. pp.Session dynamique 2

Communication dans un congrès hal-00390124v1
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Full 3D strategies for rotor-stator contact interaction in turbomachinery

Mathias Legrand , Christophe Pierre , Patrice Cartraud

12th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Feb 2008, Honolulu, United States

Communication dans un congrès hal-01008239v1
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A reduction technique for mistuned bladed disks with superposition of large geometric mistuning and small model uncertainties

Vladislav Ganine , Mathias Legrand , Christophe Pierre , Hannah Michalska

12th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Feb 2008, Honolulu, United States

Communication dans un congrès hal-01393687v1
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Transitoire de vitesse d'un turbogénérateur avec contact rotor-stator

Sébastien Roques , Mathias Legrand , Carlo Stoisser , Patrice Cartraud , Christophe Pierre

8e Colloque national en calcul des structures, May 2007, Giens, France

Communication dans un congrès hal-01491491v1
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Development of beam-to-beam contact detection algorithms for rotor-stator rubbing applications

Sébastien Roques , Mathias Legrand , Carlo Stoisser , Patrice Cartraud , Christophe Pierre

21st Biennal Conference on Mechanical Vibration and Noise ASME IDETC/CIE, Sep 2007, Las Vegas, United States. ⟨10.1115/DETC2007-34625⟩

Communication dans un congrès hal-01008067v1
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Study of component mode synthesis methods in a rotor-stator interaction case

Alain Batailly , Mathias Legrand , Patrice Cartraud , Christophe Pierre , Jean-Pierre Lombard

IDETC CIE 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Sep 2007, Las Vegas, United States. pp.1235-1242, ⟨10.1115/DETC2007-34781⟩

Communication dans un congrès hal-00714525v1
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Modelling of rotor speed transient with rotor to stator contact

Sébastien Roques , Carlo Stoisser , Patrice Cartraud , Mathias Legrand , Bernard Peseux et al.

7th IFToMM International Conference on Rotor Dynamics, Sep 2006, Vienne, Austria

Communication dans un congrès hal-01008503v1

Modélisation d'un transitoire de vitesse d'un groupe turbo-alternateur avec contact rotor-stator

Sébastien Roques , Patrice Cartraud , Carlo Stoisser , Mathias Legrand , Bernard Peseux et al.

XVe Colloque Vibrations, Chocs et Bruit, 2006, Ecole Centrale de lyon, France

Communication dans un congrès hal-01008461v1
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Etude de l'interaction modale rotor/stator dans un moteur d'avion

Mathias Legrand , Christophe Pierre , Bernard Peseux

17e Congrès Français de Mécanique, Sep 2005, Troyes, France

Communication dans un congrès hal-01349531v1
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Investigation of Structural Rotor-Stator Modal Interaction in Turbomachinery

Mathias Legrand , Bernard Peseux , Christophe Pierre

Sixth European Conference on Structural Dynamics (Eurodyn 2005), Sep 2005, Paris, France

Communication dans un congrès hal-01008366v1
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Aircraft Engine Structural Rotor-Stator Modal Interaction

Mathias Legrand , Sébastien Roques , Christophe Pierre , Bernard Peseux

20th ASME Biennal Conference on Mechanical Vibration and Noise (IDETC/CIE 2005), Sep 2005, Long Beach, United States. pp.2523-2532, ⟨10.1115/DETC2005-85251⟩

Communication dans un congrès hal-01007848v1
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Méthode de l'équilibrage harmonique généralisé

Sébastien Roques , Mathias Legrand , Christophe Pierre , Bernard Peseux , Patrice Cartraud

7e Colloque national en calcul des structures, May 2005, Giens, France

Communication dans un congrès hal-01399609v1
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Etude de l'interaction modale rotor/stator dans un moteur d'avion

Mathias Legrand , Bernard Peseux , Christophe Pierre

14e Colloque Vibration, Chocs et Bruit, Ecole Centrale de Lyon, Jun 2004, Lyon, France

Communication dans un congrès hal-01354032v1
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Investigation of Rotor-Stator Interaction in Turbomachinery

Mathias Legrand , Christophe Pierre , Bernard Peseux

The 10th of International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Mar 2004, Honolulu, United States

Communication dans un congrès hal-01008364v1

Étude de l'interaction rotor-stator dans un moteur d'avion

Mathias Legrand , Christophe Pierre , Bernard Peseux

XIVe Colloque Vibrations, Chocs et Bruit, 2004, Lyon, France

Communication dans un congrès hal-01008152v1
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Amélioration de la prédiction de l'interaction rotor/stator dans un moteur d'avion

Mathias Legrand , Bernard Peseux , Christophe Pierre , Eric Seinturier

6e Colloque national en calcul des structures, École polytechnique Palaiseau, 2003, Giens, France

Communication dans un congrès hal-01349530v1
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Etude des modes normaux non linéaires d'un arbre rotatif par la méthode des surfaces invariantes

Mathias Legrand , Dongying Jiang , Christophe Pierre

16e Congrès Français de Mécanique, May 2003, Nice, France

Communication dans un congrès hal-00354489v1

Nonlinear normal modes of a rotating shaft based on the invariant manifold method

Mathias Legrand , Dongying Jiang , Christophe Pierre , Steven Shaw

9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 9), Feb 2002, Honolulu, United States. ⟨10.1155/S1023621X04000338⟩

Communication dans un congrès hal-01354033v1
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Semismooth Newton solver for periodically-forced solutions to a unilateral contact formulation

Yulin Shi , Mathias Legrand

24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016), Aug 2016, Montréal, Canada.

Poster de conférence hal-01569609v1
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Modèles de prédiction de l'interaction rotor/stator dans un moteur d'avion

Mathias Legrand

Mécanique [physics.med-ph]. Ecole Centrale de Nantes; Université de Nantes, 2005. Français. ⟨NNT : ⟩

Thèse tel-00011631v2