Mathias Legrand
Présentation
Publications
Publications
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Weighted residual solution methods2025 |
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First Return Time near grazing linear modes of discrete vibro-impact systems2023 |
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Introductory Tutorial on Nonlinear Modal Analysis Through an Academic Vibro-Impact OscillatorCyril 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⟩ |
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Nonsmooth modal analysis: from the discrete to the continuous settingsRemco 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⟩ |
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Reduced Thermomechanical Model of Transient Rotordynamics Resulting From Radial Rotor-Stator ContactASME TurboExpo, Jun 2026, Milan, Italy |
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Linear Stability Analysis of Two Parallel Inverted Flags in Axial Flow7th Symposium on Fluid-Structure-Sound Interactions and Control, Jul 2025, Toronto, Canada |
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An equality-based frequency domain formulation for the fretting wear of vibrating structures with frictional contact8th International Conference on Computational Contact Mechanics, Jul 2025, Munich, Germany |
Réduction du rayonnement acoustique de plaques et de coques à l’aide de microperforationsCFA 2025 - 17e Congrès Français d'Acoustique, Société Française d'Acoustique (SFA), Apr 2025, Paris, France |
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Equality-based weighted residual formulation for the forced vibration of a beam with an attached friction damper8th International Conference on Computational Contact Mechanics (ICCCM 2025), Jul 2025, Munich, Germany. pp.1-2 |
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Acoustic radiation of a fluid-saturated microperforated plateInter-Noise 2024, Aug 2024, Nantes, France. pp.5304-5310, ⟨10.3397/IN_2024_3571⟩ |
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Résolution par résidus pondérés d'une formulation sous forme d'égalités de systèmes vibratoires avec frottement de Coulomb16ème Colloque National en Calcul de Structures (CSMA 2024), CNRS; CSMA; ENS Paris-Saclay; CentraleSupélec, May 2024, Hyères, France |
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Vibration behavior of a microperforated plate within an acoustic nonlinear frameworkInter-Noise 2024, Aug 2024, Nantes, France. pp.5382-5388, ⟨10.3397/IN_2024_3581⟩ |
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Vibrational damping properties of finite microperforated platesInternoise 2022, Aug 2022, Glasgow, United Kingdom. pp.5343-5349, ⟨10.3397/IN_2022_0778⟩ |
Added viscous damping in a finite-size microperforated plate within a nonlinear frameworkEURODYN 2023, Jul 2023, Delft, Netherlands |
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Turbomachinery transient dynamics of radial rotor-stator contact occurrences with frictionASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition, Jun 2023, Boston, United States. ⟨10.1115/GT2023-102198⟩ |
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Dynamics of Two Parallel Inverted Flags in Axial FlowInternational Mechanical Engineering Congress & Exposition (IMECE2023), Oct 2023, New Orleans, United States. ⟨10.1115/IMECE2023-112706⟩ |
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Compact weighted residual formulation for periodic solutions of systems undergoing frictional occurrencesIUTAM Symposium on Nonlinear dynamics for design of mechanical systems across different length/time scales, Jul 2023, Tsukuba, Japan. pp.152-153 |
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Added viscous damping in microperforated plates within a nonlinear acoustic regimeAcoustic Week in Canada, Oct 2023, Montréal Québec, Canada |
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Vibration of microperforated plate with spatial distribution of multiple-sized perforationsInternoise 2023, Aug 2023, Chiba, Japan. pp.5568-5574, ⟨10.3397/IN_2023_0790⟩ |
An Equality-Based Formulation for Vibrating Systems with FrictionNodycon 2023, Jun 2023, Rome, Italy |
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Equality-Based Weighted Residual Formulation for Periodic Solutions of Dry Friction Damped SystemsIDETC-CIE 2023, ASME, Aug 2023, Boston, United States |
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Nonsmooth Modal Analysis of Varying Cross-section Bar10th European Nonlinear Dynamics Conference (ENOC 2022), Jul 2022, Lyon, France |
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Compact weighted residual formulation for periodic solutions of systems undergoing unilateral contact and frictional occurrences10th European Nonlinear Oscillations Conference (ENOC 2022), Jul 2022, Lyon, France |
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Nonsmooth Modal Analysis of a Rectangular Plate in Unilateral Contact10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France |
Comportement vibratoire des plaques microperforées finies16e Congrès français d'acoustique CFA2022, Apr 2022, Marseille, France |
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Nodal-Boundary Finite-Element Method for the Signorini Problem In Two DimensionsASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2021, Virtual, Online, United States |
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Nonsmooth modal analysis of a two-bar system via Boundary Element MethodASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2021), Aug 2021, (Virtual), United States |
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Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraint37th 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⟩ |
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Why inverted flags flap: An experimental studySecond International Symposium on Flutter and its Application (ISFA2020), May 2020, Paris, France |
Nodal-Boundary Finite-Element Method for Periodic Solutions of Signorini ProblemsEURODYN 2020 XI International Conference on Structural Dynamics, Nov 2020, Athènes, Greece |
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Nonsmooth modal analysis with boundary element methodXI International Conference on Structural Dynamics, Nov 2020, Athènes, Greece. pp.205-212, ⟨10.47964/1120.9016.19060⟩ |
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Nonlinear modal analysis of the bar in unilateral contact via analytical weak-solutions to the wave equation27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada |
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Influence of an initial incidence angle on the dynamics of inverted flags27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada |
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Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraintFirst International Nonlinear Dynamics Conference (Nodycon 2019), Feb 2019, Rome, Italy |
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A fluidelastic model for the nonlinear dynamics of two-dimensional inverted flagsASME 2019 Pressure Vessels & Piping Conference (PVP2019), Jul 2019, San Antonio, United States. ⟨10.1115/PVP2019-93576⟩ |
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Nonlinear dynamics of slender inverted flags in axial flow9th International Symposium on Fluid-Structure Interactions, Flow-Sound Interactions, Flow-Induced Vibration & Noise, Jul 2018, Toronto, Canada |
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Thermomechanical model reduction for efficient simulations of rotor-stator contact interactionASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75880⟩ |
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Nonsmooth thermoelastic simulations of blade-casing contact interactionsASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75959⟩ |
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Rotor-stator interaction: formulation, reduction and simulation of a nonsmooth thermo-elastic model17th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Dec 2017, Maui, United States |
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Spectrum of an impact oscillator via nonsmooth modal analysis9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary |
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Spectre vibratoire d'un oscillateur discret à impacts13e colloque national en calcul des structures (CSMA 2017), Université Paris-Saclay, May 2017, Giens, Var, France |
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Nonlinear modal analysis of a one-dimensional bar undergoing unilateral contact via the time-domain boundary element methodASME 2017 International Design Engineering Technical Conferences, Aug 2017, Cleveland, United States. ⟨10.1115/DETC2017-68340⟩ |
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Modification of Moreau-Jean's Scheme for Energy Conservation in Inelastic Impact Dynamics9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary |
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Thermomechanical Component Mode Synthesis for blade casing interaction predictionASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Jun 2017, Charlotte, United States. ⟨10.1115/GT2017-64342⟩ |
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Impact dynamics near unilaterally constrained grazing orbits9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary |
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Nonsmooth modal analysis for a one-dimensional finite bar subject to unilateral contact using the Wave Finite Element MethodThe Fourth Joint International Conference on Multibody Systems Dynamics, May 2016, Montréal, Canada |
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Nonsmooth modal analysis from elementary impact oscillators to turbomachines: limitations and avenues16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 2016), Apr 2016, Honolulu, HI, United States |
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Nonlinear Modes of Vibration of Vibro-Impact Duffing Oscillators24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montreal, Canada |
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Dynamics of statically pre-loaded human aorta24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montréal, Canada |
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Nonsmooth modal analysis of piecewise-linear impact systems24th International Congress of Theoretical and Applied Mechanics, Aug 2016, Montreal, Canada |
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Full 3D Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular SpeedASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition, Jun 2016, Seoul, South Korea. ⟨10.1115/GT2016-56715⟩ |
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Snecma's Viewpoint on the Numerical and Experimental Simulation of Blade-Tip/Casing Unilateral ContactsASME Turbo Expo Conference, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42682⟩ |
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Abradable coating removal in turbomachines: a macroscopic approach accounting for various wear mechanismsASME Turbo Expo 2015: Turbine Technical Conference and Exposition, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42500⟩ |
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Modélisation macroscopique des différents mécanismes d'usure d'un matériau abradable12e Colloque national en calcul des structures, CSMA; GeM; LMBS; LaSIE; LIMatB; LAMPA; LGCGM, May 2015, Giens, France |
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The Wave Finite Element Method applied to a one-dimensional linear elastodynamic problem with unilateral constraintsThe ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46919⟩ |
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Full 3D rotor/stator interaction simulations in aircraft engines with time dependent angular speedCFM 2015 - 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France |
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Nonsmooth modal analysis: Investigation of a 2-dof spring-mass system subject to an elastic impact lawInternational Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46796⟩ |
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Nonlinear modes for a discrete mechanical system with rigid contact11th World Congress on Computational Mechanics (WCCM XI), Jul 2014, Barcelona, Spain |
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Two-dimensional modeling of shaft precessional motions induced by blade/casing unilateral contact in aircraft enginesTurbo Expo, ASME, Jun 2014, Dusseldorf, Germany. ⟨10.1115/GT2014-25688⟩ |
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High-pressure compressor blade dynamics under aerodynamic and blade-tip unilateral contact forcingsASME Turbo Expo 2014, ASME, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25675⟩ |
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Vibrations of an Axial Bar Experiencing Periodic Unilateral Contact Using the Wavelet Balance Method26th Conference on Mechanical Vibration and Noise, ASME, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-34725⟩ |
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Conjectural Bifurcation Analysis of an Aircraft Engine Blade Undergoing 3D Unilateral Contact ConstraintsASME/IGTI Turbo Expo Conference, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25674⟩ |
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Vibration of a Square Hyperelastic Plate Around Statically Pre-Loaded StateASME IDETC/CIE Conference, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-35382⟩ |
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Investigation of Rotor-Casing Interactions in the Centrifugal Compressor of a Helicopter EngineASME Turbo Expo 2013: Turbine Technical Conference and Exposition, 2013, San Antonio, United States. ⟨10.1115/GT2013-94461⟩ |
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Modeling of abradable coating removal in aircraft engines through delay differential equationsASME Turbo Expo 2013, Jun 2013, San Antonio, United States. ⟨10.1115/1.4024959⟩ |
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Modélisation de l'enlèvement de matériau abradable à l'aide d'équations différentielles à retard11e Colloque national en calcul des structures, CSMA, May 2013, Giens, France |
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Rotor-stator interaction scenarios for the centrifugal compressor of a helicopter engineASME IDETC Conference, Aug 2013, Portland, United States. pp.IDETC-12211, ⟨10.1115/DETC2013-12211⟩ |
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Large Amplitude Vibrations of Thin Hyperelastic Plates: Neo-Hookean ModelASME 2013 International Mechanical Engineering Congress and Exposition, Nov 2013, San Diego, United States. ⟨10.1115/IMECE2013-62253⟩ |
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A qualitative numerical analysis of rotor-casing interactions in centrifugal compressors of helicopter enginesASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Aug 2013, Portland, United States. ⟨10.1115/DETC2013-12212⟩ |
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Numerical study of a rotor/stator interaction case experimentally simulated with an industrial compressorASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.1053-1062, ⟨10.1115/GT2012-68173⟩ |
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The wavelet-Galerkin method for solving PDE's with spatially dependent variables19th International Congress on Sound and Vibration (ICSV19), Jul 2012, Vilnius, Lithuania |
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Numerical simulation of tool/abradable material interaction experimentsASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.51-60, ⟨10.1115/GT2012-68171⟩ |
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Performance of time-marching techniques dedicated to nonsmooth systems: a nonlinear modal analysis approachEuromech 516 -- Nonsmooth contact and impact laws in mechanics, Jul 2011, Grenoble, France |
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Influence of Abradable Coating Wear Mechanical Properties on Rotor Stator InteractionASME Turbo Expo: Turbine Technical Conference and Exposition, Jun 2011, Vancouver, Canada. ⟨10.1115/GT2011-45189⟩ |
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Validation of a 3D contact algorithm for the study of blade-tip/casing contacts in turbomachines8th IFToMM International Conference on Rotordynamics, Sep 2010, Séoul, South Korea |
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Non-synchronous vibration of a Jeffcott rotor due to internal radial clearance in roller bearings8th IFToMM International Conference on Rotor Dynamics, KIST, Sep 2010, Seoul, South Korea. pp.446-453 |
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Evaluation of component mode synthesis methods for the detection of modal interaction through rotor/stator contactsASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2009, San Diego, United States. ⟨10.1115/DETC2009-87036⟩ |
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Modélisation plastique bi-linéaire de l'usure de matériaux abradables: application aux turbo-machines9e colloque national en calcul des structures, May 2009, Giens, France |
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Numerical investigation of abradable coating wear through plastic constitutive law: application to aircraft enginesASME International Design Engineering Technical Conferences & Computers and Information in Engineering, Aug 2009, San Diego, United States. pp.907-916, ⟨10.1115/DETC2009-87669⟩ |
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Nonlinear Modal Analysis of Mechanical Systems with Frictionless Contact InterfacesASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2009, San Diego, United States. pp.DETC2009-87387, ⟨10.1115/DETC2009-87387⟩ |
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Evaluation d'une méthode de réduction modale pour la détection de cas d'interaction modale lors de contacts rotor statorCongrès Français de Mécanique, 2009, Marseille, France |
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Modes non-linéaires appliqués aux problèmes de contact : application à une aube de turbomachineColloque national en calcul des structures, May 2009, Giens, France. pp.Session dynamique 2 |
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Full 3D strategies for rotor-stator contact interaction in turbomachinery12th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Feb 2008, Honolulu, United States |
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A reduction technique for mistuned bladed disks with superposition of large geometric mistuning and small model uncertainties12th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Feb 2008, Honolulu, United States |
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Transitoire de vitesse d'un turbogénérateur avec contact rotor-stator8e Colloque national en calcul des structures, May 2007, Giens, France |
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Development of beam-to-beam contact detection algorithms for rotor-stator rubbing applications21st Biennal Conference on Mechanical Vibration and Noise ASME IDETC/CIE, Sep 2007, Las Vegas, United States. ⟨10.1115/DETC2007-34625⟩ |
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Study of component mode synthesis methods in a rotor-stator interaction caseIDETC 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⟩ |
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Modelling of rotor speed transient with rotor to stator contact7th IFToMM International Conference on Rotor Dynamics, Sep 2006, Vienne, Austria |
Modélisation d'un transitoire de vitesse d'un groupe turbo-alternateur avec contact rotor-statorXVe Colloque Vibrations, Chocs et Bruit, 2006, Ecole Centrale de lyon, France |
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Etude de l'interaction modale rotor/stator dans un moteur d'avion17e Congrès Français de Mécanique, Sep 2005, Troyes, France |
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Investigation of Structural Rotor-Stator Modal Interaction in TurbomachinerySixth European Conference on Structural Dynamics (Eurodyn 2005), Sep 2005, Paris, France |
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Aircraft Engine Structural Rotor-Stator Modal Interaction20th ASME Biennal Conference on Mechanical Vibration and Noise (IDETC/CIE 2005), Sep 2005, Long Beach, United States. pp.2523-2532, ⟨10.1115/DETC2005-85251⟩ |
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Méthode de l'équilibrage harmonique généralisé7e Colloque national en calcul des structures, May 2005, Giens, France |
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Etude de l'interaction modale rotor/stator dans un moteur d'avion14e Colloque Vibration, Chocs et Bruit, Ecole Centrale de Lyon, Jun 2004, Lyon, France |
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Investigation of Rotor-Stator Interaction in TurbomachineryThe 10th of International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Mar 2004, Honolulu, United States |
Étude de l'interaction rotor-stator dans un moteur d'avionXIVe Colloque Vibrations, Chocs et Bruit, 2004, Lyon, France |
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Amélioration de la prédiction de l'interaction rotor/stator dans un moteur d'avion6e Colloque national en calcul des structures, École polytechnique Palaiseau, 2003, Giens, France |
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Etude des modes normaux non linéaires d'un arbre rotatif par la méthode des surfaces invariantes16e Congrès Français de Mécanique, May 2003, Nice, France |
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Nonlinear normal modes of a rotating shaft based on the invariant manifold method9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 9), Feb 2002, Honolulu, United States. ⟨10.1155/S1023621X04000338⟩ |
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Semismooth Newton solver for periodically-forced solutions to a unilateral contact formulation24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016), Aug 2016, Montréal, Canada. |
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Modèles de prédiction de l'interaction rotor/stator dans un moteur d'avionMécanique [physics.med-ph]. Ecole Centrale de Nantes; Université de Nantes, 2005. Français. ⟨NNT : ⟩ |
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Méthodes de traitement du signal par décomposition en modes empiriques[Rapport de recherche] Université McGill. 2018 |
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Caractéristiques modales des mouvements d'arbre pour des structures à symétrie cyclique[Rapport de recherche] Université McGill. 2013 |
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Another presentation of the Craig-Martinez method[Research Report] McGill University. 2011 |