
Mathias Legrand
97%
Open access
151
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Publications
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Thermomechanical transient dynamics of radial rotor-stator contact2024
Preprints, Working Papers, ...
hal-04558059
v1
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An Equality-Based Weighted Residual Formulation for the Vibration of Systems with Two-Dimensional Friction2024
Preprints, Working Papers, ...
hal-04852967
v1
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First Return Time near grazing linear modes of discrete vibro-impact systems2023
Preprints, Working Papers, ...
hal-04215813
v1
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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⟩
Book sections
hal-04599802
v1
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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⟩
Book sections
hal-01771849
v1
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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⟩
Conference papers
hal-04484935
v1
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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
Conference papers
hal-04521553
v1
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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⟩
Conference papers
hal-04484934
v1
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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⟩
Conference papers
hal-04188741
v1
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Added viscous damping in a finite-size microperforated plate within a nonlinear frameworkEURODYN 2023, Jul 2023, Delft, Netherlands
Conference papers
hal-04035493
v1
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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⟩
Conference papers
hal-03753469
v1
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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⟩
Conference papers
hal-04197339
v1
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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⟩
Conference papers
hal-04186252
v1
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Added viscous damping in microperforated plates within a nonlinear acoustic regimeAcoustic Week in Canada, Oct 2023, Montréal Québec, Canada
Conference papers
hal-04186463
v1
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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
Conference papers
hal-04201237
v1
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An Equality-Based Formulation for Vibrating Systems with FrictionNodycon 2023, Jun 2023, Rome, Italy
Conference papers
hal-04201054
v1
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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
Conference papers
hal-04201052
v1
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Nonsmooth Modal Analysis of Varying Cross-section Bar10th European Nonlinear Dynamics Conference (ENOC 2022), Jul 2022, Lyon, France
Conference papers
hal-03751776
v1
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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
Conference papers
hal-03751780
v1
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Nonsmooth Modal Analysis of a Rectangular Plate in Unilateral Contact10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France
Conference papers
hal-03753823
v1
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Comportement vibratoire des plaques microperforées finies16e Congrès français d'acoustique CFA2022, Apr 2022, Marseille, France
Conference papers
hal-03655705
v1
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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
Conference papers
hal-04029283
v1
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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
Conference papers
hal-04010691
v1
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Why inverted flags flap: An experimental studySecond International Symposium on Flutter and its Application (ISFA2020), May 2020, Paris, France
Conference papers
hal-02482212
v1
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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⟩
Conference papers
hal-01918511
v2
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Nodal-Boundary Finite-Element Method for Periodic Solutions of Signorini ProblemsEURODYN 2020 XI International Conference on Structural Dynamics, Nov 2020, Athens, Greece
Conference papers
hal-03183151
v1
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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⟩
Conference papers
hal-03136267
v1
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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
Conference papers
hal-02151373
v1
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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
Conference papers
hal-02151372
v1
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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
Conference papers
hal-02277579
v1
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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⟩
Conference papers
hal-02279080
v1
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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
Conference papers
hal-01812870
v1
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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⟩
Conference papers
hal-01713849
v1
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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⟩
Conference papers
hal-01713919
v1
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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
Conference papers
hal-01926322
v1
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Spectrum of an impact oscillator via nonsmooth modal analysis9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary
Conference papers
hal-01509382
v1
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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
Conference papers
hal-01871945
v1
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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⟩
Conference papers
hal-01569943
v1
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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
Conference papers
hal-01569841
v1
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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⟩
Conference papers
hal-01569918
v1
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Impact dynamics near unilaterally constrained grazing orbits9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary
Conference papers
hal-01562154
v1
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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
Conference papers
hal-01408111
v1
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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
Conference papers
hal-01401772
v1
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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
Conference papers
hal-01573247
v1
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Dynamics of statically pre-loaded human aorta24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montréal, Canada
Conference papers
hal-01575964
v1
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Nonsmooth modal analysis of piecewise-linear impact systems24th International Congress of Theoretical and Applied Mechanics, Aug 2016, Montreal, Canada
Conference papers
hal-01402551
v1
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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⟩
Conference papers
hal-04679431
v1
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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⟩
Conference papers
hal-01194922
v1
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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⟩
Conference papers
hal-01188846
v1
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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
Conference papers
hal-01402723
v1
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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⟩
Conference papers
hal-01223582
v1
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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
Conference papers
hal-03444757
v1
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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⟩
Conference papers
hal-01185973
v1
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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⟩
Conference papers
hal-01130542
v1
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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⟩
Conference papers
hal-01403614
v1
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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⟩
Conference papers
hal-01090671
v2
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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
Conference papers
hal-03186031
v1
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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⟩
Conference papers
hal-01183448
v1
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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⟩
Conference papers
hal-01195752
v1
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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
Conference papers
hal-01104675
v1
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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⟩
Conference papers
hal-00879815
v1
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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⟩
Conference papers
hal-02271334
v1
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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⟩
Conference papers
hal-01933743
v1
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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⟩
Conference papers
hal-00851396
v1
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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⟩
Conference papers
hal-00851397
v1
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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⟩
Conference papers
hal-00714538
v1
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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
Conference papers
hal-00719744
v1
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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⟩
Conference papers
hal-00841147
v1
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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
Conference papers
hal-00719781
v1
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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⟩
Conference papers
hal-00616524
v1
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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
Conference papers
hal-00533382
v1
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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
Conference papers
hal-00533285
v1
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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⟩
Conference papers
hal-00714528
v1
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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
Conference papers
hal-00390869
v1
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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⟩
Conference papers
hal-00413728
v1
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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⟩
Conference papers
hal-00413696
v1
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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
Conference papers
hal-00413704
v1
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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
Conference papers
hal-00390124
v1
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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
Conference papers
hal-01008239
v1
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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
Conference papers
hal-01393687
v1
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Transitoire de vitesse d'un turbogénérateur avec contact rotor-stator8e Colloque national en calcul des structures, May 2007, Giens, France
Conference papers
hal-01491491
v1
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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⟩
Conference papers
hal-01008067
v1
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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⟩
Conference papers
hal-00714525
v1
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Modelling of rotor speed transient with rotor to stator contact 7th IFToMM International Conference on Rotor Dynamics, Sep 2006, Vienne, Austria
Conference papers
hal-01008503
v1
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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
Conference papers
hal-01008461
v1
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Etude de l'interaction modale rotor/stator dans un moteur d'avion17e Congrès Français de Mécanique, Sep 2005, Troyes, France
Conference papers
hal-01349531
v1
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Investigation of Structural Rotor-Stator Modal Interaction in TurbomachinerySixth European Conference on Structural Dynamics (Eurodyn 2005), Sep 2005, Paris, France
Conference papers
hal-01008366
v1
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Méthode de l'équilibrage harmonique généralisé7e Colloque national en calcul des structures, May 2005, Giens, France
Conference papers
hal-01399609
v1
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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⟩
Conference papers
hal-01007848
v1
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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
Conference papers
hal-01354032
v1
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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
Conference papers
hal-01008364
v1
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Étude de l'interaction rotor-stator dans un moteur d'avionXIVe Colloque Vibrations, Chocs et Bruit, 2004, Lyon, France
Conference papers
hal-01008152
v1
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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
Conference papers
hal-01349530
v1
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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
Conference papers
hal-00354489
v1
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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⟩
Conference papers
hal-01354033
v1
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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.
Conference poster
hal-01569609
v1
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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 : ⟩
Theses
tel-00011631
v2
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Méthodes de traitement du signal par décomposition en modes empiriques[Rapport de recherche] Université McGill. 2018
Reports
(Research report)
hal-01819670
v1
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Caractéristiques modales des mouvements d'arbre pour des structures à symétrie cyclique[Rapport de recherche] Université McGill. 2013
Reports
(Research report)
hal-00881272
v2
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Another presentation of the Craig-Martinez method[Research Report] McGill University. 2011
Reports
(Research report)
hal-00554967
v1
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