Publications HAL

2024

Journal articles

ref_biblio
Mathias Legrand, Christophe Pierre. A compact, equality-based weighted residual formulation for periodic solutions of systems undergoing frictional occurrences. Journal of Structural Dynamics, 2024, 2, pp.144-170. ⟨10.25518/2684-6500.190⟩. ⟨hal-04189699v2⟩
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Conference papers

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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Raymond Panneton, Philippe Leclaire​. Acoustic radiation of a fluid-saturated microperforated plate. Inter-Noise 2024, Aug 2024, Nantes, France. ⟨hal-04484935⟩
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Raymond Panneton, Philippe Leclaire​. Vibratory response behavior of a microperforated plate within an acoustic nonlinear framework. Inter-Noise 2024, Aug 2024, Nantes, France. ⟨hal-04484934⟩
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Mathias Legrand, Christophe Pierre. Résolution par résidus pondérés d'une formulation sous forme d'égalités de systèmes vibratoires avec frottement de Coulomb. 16e Colloque National en Calcul des Structures, May 2024, Giens, France. ⟨hal-04521553⟩
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Software

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Mathias Legrand, Christophe Pierre, Sebastian Mcdonald. Equal[iseR]. 2024, ⟨swh:1:rev:f250761aa2646df3da29c2e1baff9f3a2d0e0641;origin=https://github.com/mlegr/EqualISER;visit=swh:1:snp:93a283d450360c146c0d6d2f02396a68c7b61d16⟩. ⟨hal-04525598⟩
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Preprints, Working Papers, ...

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Lucie Gallerand, Mathias Legrand, Raymond Panneton, Philippe Leclaire​, Thomas Dupont. Added nonlinear damping of homogenized fluid-saturated microperforated plates in Forchheimer flow regime. 2024. ⟨hal-04528668⟩
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Coline Jacobs, Fabrice Thouverez, Mathias Legrand, Patricio Almeida. Thermomechanical transient dynamics of radial rotor-stator contact. 2024. ⟨hal-04558059⟩
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2023

Journal articles

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Tianzheng Lu, Mathias Legrand. Harmonic Balance based Nonsmooth Modal Analysis of unilaterally constrained discrete systems. Nonlinear Dynamics, 2023, 112, pp.1619-1640. ⟨10.1007/s11071-023-09014-4⟩. ⟨hal-03970830v2⟩
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David Urman, Mathias Legrand. Nonsmooth Modal Analysis of a Varying Cross-Sectional Area Bar in Unilateral Contact. Journal of Sound and Vibration, 2023, 545, pp.117385. ⟨10.1016/j.jsv.2022.117385⟩. ⟨hal-03619197v2⟩
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Conference papers

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Shaoguang Wang, Mathias Legrand, Michael Païdoussis. Dynamics of Two Parallel Inverted Flags in Axial Flow. International Mechanical Engineering Congress & Exposition (IMECE2023), Oct 2023, New Orleans, United States. ⟨hal-04188741⟩
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Raymond Panneton, Philippe Leclaire​. Added viscous damping in microperforated plates within a nonlinear acoustic regime. Acoustic Week in Canada, Oct 2023, Montréal Québec, Canada. ⟨hal-04186463⟩
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Philippe Leclaire​. Vibration of microperforated plate with spatial distribution of multiple-sized perforations. Internoise 2023, Aug 2023, Chiba, Japan. ⟨hal-04186252⟩
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Mathias Legrand, Christophe Pierre. Equality-Based Weighted Residual Formulation for Periodic Solutions of Dry Friction Damped Systems. IDETC-CIE 2023, ASME, Aug 2023, Boston, United States. ⟨hal-04201052⟩
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Mathias Legrand, Christophe Pierre. Compact weighted residual formulation for periodic solutions of systems undergoing frictional occurrences. IUTAM Symposium on Nonlinear dynamics for design of mechanical systems across different length/time scales, Jul 2023, Tsukuba, Japan. pp.152-153. ⟨hal-04201237⟩
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Philippe Leclaire​. Added viscous damping in a finite-size microperforated plate within a nonlinear framework. EURODYN 2023, Jul 2023, Delft, Netherlands. ⟨hal-04035493⟩
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Coline Jacobs, Mathias Legrand, Fabrice Thouverez, Patricio Almeida. Turbomachinery transient dynamics of radial rotor-stator contact occurrences with friction. ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition, Jun 2023, Boston, United States. ⟨10.1115/GT2023-102198⟩. ⟨hal-04197339⟩
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https://hal.science/hal-04197339/file/article-GT2023-102198-CJ-FINAL.pdf BibTex
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Mathias Legrand, Christophe Pierre. An Equality-Based Formulation for Vibrating Systems with Friction. Nodycon 2023, Jun 2023, Rome, Italy. ⟨hal-04201054⟩
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Preprints, Working Papers, ...

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Huong Le Thi, Stéphane Junca, Mathias Legrand. First Return Time near grazing linear modes of discrete vibro-impact systems. 2023. ⟨hal-04215813⟩
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Raymond Panneton, Philippe Leclaire​. Damping performance of finite microperforated plates using multi-size and spatial distributions of perforations. 2023. ⟨hal-04122565v2⟩
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2022

Journal articles

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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Philippe Leclaire​. Vibration and damping analysis of a thin finite-size microperforated plate. Journal of Sound and Vibration, 2022, 541, pp.117295. ⟨10.1016/j.jsv.2022.117295⟩. ⟨hal-03634548v2⟩
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Huong Le Thi, Stéphane Junca, Mathias Legrand. First return time to the contact hyperplane for n-degree-of-freedom vibro-impact systems. Discrete and Continuous Dynamical Systems - Series B, 2022, 27 (1), pp.1-44. ⟨10.3934/dcdsb.2021031⟩. ⟨hal-01957546v2⟩
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Conference papers

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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Philippe Leclaire​. Vibrational damping properties of finite microperforated plates. Internoise 2022, Aug 2022, Glasgow, United Kingdom. ⟨hal-03753469⟩
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Tianzheng Lu, Mathias Legrand. Nonsmooth Modal Analysis of Varying Cross-section Bar. 10th European Nonlinear Dynamics Conference (ENOC 2022), Jul 2022, Lyon, France. ⟨hal-03751776⟩
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Mathias Legrand, Christophe Pierre. Compact weighted residual formulation for periodic solutions of systems undergoing unilateral contact and frictional occurrences. 10th European Nonlinear Oscillations Conference (ENOC 2022), Jul 2022, Lyon, France. ⟨hal-03751780⟩
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David Urman, Mathias Legrand. Nonsmooth Modal Analysis of a Rectangular Plate in Unilateral Contact. 10th European Nonlinear Dynamics Conference, Jul 2022, Lyon, France. ⟨hal-03753823⟩
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https://hal.science/hal-03753823/file/ENOC2022_abstract.pdf BibTex
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Lucie Gallerand, Mathias Legrand, Thomas Dupont, Philippe Leclaire​. Comportement vibratoire des plaques microperforées finies. 16e Congrès français d'acoustique CFA2022, Apr 2022, Marseille, France. ⟨hal-03655705⟩
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2021

Journal articles

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David Urman, Mathias Legrand, Stéphane Junca. D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact. Nonlinear Analysis: Hybrid Systems, 2021, ⟨10.1016/j.nahs.2021.101115⟩. ⟨hal-02984137v2⟩
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Tianzheng Lu, Mathias Legrand. Nonsmooth Modal Analysis via the Boundary Element Method for one-dimensional bar systems. Nonlinear Dynamics, 2021, ⟨10.1007/s11071-021-06994-z⟩. ⟨hal-03206114v2⟩
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Mohammad Tavallaeinejad, Manuel Flores Salinas, Michael Païdoussis, Mathias Legrand, Mojtaba Kheiri, et al.. Dynamics of inverted flags: Experiments and comparison with theory. Journal of Fluids and Structures, 2021, 101, pp.103199. ⟨10.1016/j.jfluidstructs.2020.103199⟩. ⟨hal-03124681⟩
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Conference papers

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Tianzheng Lu, Mathias Legrand. Nonsmooth modal analysis of a two-bar system via Boundary Element Method. ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE 2021), Aug 2021, (Virtual), United States. ⟨hal-04029283⟩
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David Urman, Mathias Legrand. Nodal-Boundary Finite-Element Method for the Signorini Problem In Two Dimensions. ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2021, Virtual, Online, United States. ⟨hal-04010691⟩
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2020

Journal articles

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Mohammad Tavallaeinejad, Michael Païdoussis, Manuel Flores Salinas, Mathias Legrand, Mojtaba Kheiri, et al.. Flapping of heavy inverted flags: a fluid-elastic instability. Journal of Fluid Mechanics, 2020, 904, ⟨10.1017/jfm.2020.758⟩. ⟨hal-02966192⟩
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Mohammad Tavallaeinejad, Michael Païdoussis, Mathias Legrand, Mojtaba Kheiri. Instability and the post-critical behaviour of two-dimensional inverted flags in axial flow. Journal of Fluid Mechanics, 2020, 890, ⟨10.1017/jfm.2020.111⟩. ⟨hal-02520870⟩
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Conference papers

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David Urman, Mathias Legrand. Nodal-Boundary Finite-Element Method for Periodic Solutions of Signorini Problems. EURODYN 2020 XI International Conference on Structural Dynamics, Nov 2020, Athens, Greece. ⟨hal-03183151⟩
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Tianzheng Lu, Mathias Legrand. Nonsmooth modal analysis with boundary element method. XI International Conference on Structural Dynamics, Nov 2020, Athènes, Greece. pp.205-212, ⟨10.47964/1120.9016.19060⟩. ⟨hal-03136267⟩
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Mohammad Tavallaeinejad, Michael Païdoussis, Manuel Flores Salinas, Mathias Legrand, Mojtaba Kheiri, et al.. Why inverted flags flap: An experimental study. Second International Symposium on Flutter and its Application (ISFA2020), May 2020, Paris, France. ⟨hal-02482212⟩
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Other publications

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Alain Batailly, Mathias Legrand, Solène Kojtych, Benoît Charbonneau. Digital research infrastructure of two research laboratories in the field of structural dynamics. 2020. ⟨hal-03674960⟩
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2019

Journal articles

ref_biblio
Mohammad Tavallaeinejad, Mathias Legrand, Michael Païdoussis. Nonlinear dynamics of slender inverted flags in uniform steady flows. Journal of Sound and Vibration, 2019, ⟨10.1016/j.jsv.2019.115048⟩. ⟨hal-02342918⟩
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https://hal.science/hal-02342918/file/Tavallaeinejad2019_SlenderInvertedFlag.pdf BibTex

Conference papers

ref_biblio
Mohammad Tavallaeinejad, Michael Païdoussis, Mathias Legrand, Mojtaba Kheiri. A fluidelastic model for the nonlinear dynamics of two-dimensional inverted flags. ASME 2019 Pressure Vessels & Piping Conference (PVP2019), Jul 2019, San Antonio, United States. ⟨10.1115/PVP2019-93576⟩. ⟨hal-02279080⟩
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https://hal.science/hal-02279080/file/Tavallaeinejad2019.pdf BibTex
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David Urman, Mathias Legrand. Nonlinear modal analysis of the bar in unilateral contact via analytical weak-solutions to the wave equation. 27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada. ⟨hal-02151373⟩
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Mohammad Tavallaeinejad, Michael Païdoussis, Mathias Legrand, Mojtaba Kheiri. Influence of an initial incidence angle on the dynamics of inverted flags. 27th Canadian Congress of Applied Mechanics, May 2019, Sherbrooke, Canada. ⟨hal-02151372⟩
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Carlos Yoong, Mathias Legrand. Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraint. First International Nonlinear Dynamics Conference (Nodycon 2019), Feb 2019, Rome, Italy. ⟨hal-02277579⟩
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Carlos Yoong, Mathias Legrand. Nonsmooth modal analysis of a non-internally resonant finite bar subject to a unilateral contact constraint. 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⟩. ⟨hal-01918511v2⟩
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2018

Journal articles

ref_biblio
Mohammad Tavallaeinejad, Michael Païdoussis, Mathias Legrand. Nonlinear static response of low-aspect-ratio inverted flags subjected to a steady flow. Journal of Fluids and Structures, 2018, 83, pp.413-428. ⟨10.1016/j.jfluidstructs.2018.09.003⟩. ⟨hal-01745147v2⟩
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https://hal.science/hal-01745147/file/Tavallaeinejad2018.pdf BibTex
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Huong Le Thi, Stéphane Junca, Mathias Legrand. Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases. Nonlinear Analysis: Hybrid Systems, 2018, 28, pp.54-74. ⟨10.1016/j.nahs.2017.10.009⟩. ⟨hal-01305719v2⟩
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https://hal.science/hal-01305719/file/LTJL.pdf BibTex
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Carlos Yoong, Anders Thorin, Mathias Legrand. Nonsmooth modal analysis of an elastic bar subject to a unilateral contact constraint. Nonlinear Dynamics, 2018, 91 (4), pp.2453-2476. ⟨10.1007/s11071-017-4025-9⟩. ⟨hal-01471341v2⟩
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Anders Thorin, Nicolas Guérin, Mathias Legrand, Fabrice Thouverez, Patricio Almeida. Nonsmooth Thermoelastic Simulations of Blade–Casing Contact Interactions. Journal of Engineering for Gas Turbines and Power, 2018, 141 (2), ⟨10.1115/1.4040857⟩. ⟨hal-01989188⟩
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https://hal.science/hal-01989188/file/Thorin2018.pdf BibTex
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Nicolas Guérin, Anders Thorin, Fabrice Thouverez, Mathias Legrand, Patricio Almeida. Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction. Journal of Engineering for Gas Turbines and Power, 2018, 141 (2), ⟨10.1115/1.4040858⟩. ⟨hal-01989175⟩
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Bérenger Berthoul, Alain Batailly, Laurent Stainier, Mathias Legrand, Patrice Cartraud. Phenomenological modeling of abradable wear in turbomachines. Mechanical Systems and Signal Processing, 2018, 98, pp.770-785. ⟨10.1016/j.ymssp.2017.05.020⟩. ⟨hal-01569316⟩
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Conference papers

ref_biblio
Mohammad Tavallaeinejad, Mathias Legrand, Michael Païdoussis. Nonlinear dynamics of slender inverted flags in axial flow. 9th International Symposium on Fluid-Structure Interactions, Flow-Sound Interactions, Flow-Induced Vibration & Noise, Jul 2018, Toronto, Canada. ⟨hal-01812870⟩
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Nicolas Guérin, Anders Thorin, Fabrice Thouverez, Mathias Legrand, Patricio Almeida. Thermomechanical model reduction for efficient simulations of rotor-stator contact interaction. ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75880⟩. ⟨hal-01713849⟩
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Anders Thorin, Nicolas Guérin, Mathias Legrand, Fabrice Thouverez, Patricio Almeida. Nonsmooth thermoelastic simulations of blade-casing contact interactions. ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, Jun 2018, Oslo, Norway. ⟨10.1115/GT2018-75959⟩. ⟨hal-01713919⟩
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Book sections

ref_biblio
Anders Thorin, Mathias Legrand. Nonsmooth modal analysis: from the discrete to the continuous settings. Remco Leine; Vincent Acary; Olivier Brüls. Advanced Topics in Nonsmooth Dynamics. Transactions of the European Network for Nonsmooth Dynamics, Springer International Publishing, 2018, 9783319759715. ⟨10.1007/978-3-319-75972-2_5⟩. ⟨hal-01771849⟩
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Reports

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Nicolas Di Palma, Alain Batailly, Mathias Legrand. Méthodes de traitement du signal par décomposition en modes empiriques. [Rapport de recherche] Université McGill. 2018. ⟨hal-01819670⟩
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2017

Journal articles

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Anders Thorin, Pierre Delezoide, Mathias Legrand. Non-smooth modal analysis of piecewise-linear impact oscillators. SIAM Journal on Applied Dynamical Systems, 2017, 16 (3), pp.1710-1747. ⟨10.1137/16M1081506⟩. ⟨hal-01298983v2⟩
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Mathias Legrand, Stéphane Junca, Sokly Heng. Nonsmooth modal analysis of a $N$-degree-of-freedom system undergoing a purely elastic impact law. Communications in Nonlinear Science and Numerical Simulation, 2017, 45, pp.190-219. ⟨10.1016/j.cnsns.2016.08.022⟩. ⟨hal-01185980v2⟩
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Alain Batailly, Mathias Legrand, Christophe Pierre. Full Three-Dimensional Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular Speed. Journal of Engineering for Gas Turbines and Power, 2017, 139 (3), pp.031202. ⟨10.1115/1.4034503⟩. ⟨hal-01388425v2⟩
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Anders Thorin, Pierre Delezoide, Mathias Legrand. Periodic solutions of $n$-dof autonomous vibro-impact oscillators with one lasting contact phase. Nonlinear Dynamics, 2017, 90 (3), pp.1771-1783. ⟨10.1007/s11071-017-3763-z⟩. ⟨hal-01505888⟩
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Conference papers

ref_biblio
Anders Thorin, Nicolas Guérin, Mathias Legrand. Rotor-stator interaction: formulation, reduction and simulation of a nonsmooth thermo-elastic model. 17th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Dec 2017, Maui, United States. ⟨hal-01871945⟩
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Jayantheeswar Venkatesh, Anders Thorin, Mathias Legrand. Nonlinear modal analysis of a one-dimensional bar undergoing unilateral contact via the time-domain boundary element method. ASME 2017 International Design Engineering Technical Conferences, Aug 2017, Cleveland, United States. ⟨10.1115/DETC2017-68340⟩. ⟨hal-01569943⟩
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Nicolas Guérin, Fabrice Thouverez, Claude Gibert, Mathias Legrand, Patricio Almeida. Thermomechanical Component Mode Synthesis for blade casing interaction prediction. ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition, Jun 2017, Charlotte, United States. ⟨10.1115/GT2017-64342⟩. ⟨hal-01569918⟩
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Anders Thorin, Mathias Legrand. Spectrum of an impact oscillator via nonsmooth modal analysis. 9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary. ⟨hal-01509382⟩
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https://hal.science/hal-01509382/file/thorinENOC2017.pdf BibTex
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Carlos Yoong, Vincent Acary, Mathias Legrand. Modification of Moreau-Jean's Scheme for Energy Conservation in Inelastic Impact Dynamics. 9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary. ⟨hal-01569841⟩
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Stéphane Junca, Huong Le Thi, Mathias Legrand, Anders Thorin. Impact dynamics near unilaterally constrained grazing orbits. 9th European Nonlinear Dynamics Conference, Jun 2017, Budapest, Hungary. ⟨hal-01562154⟩
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https://hal.science/hal-01562154/file/articleJL2T.pdf BibTex
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Anders Thorin, Mathias Legrand. Spectre vibratoire d'un oscillateur discret à impacts. 13e colloque national en calcul des structures (CSMA 2017), Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01926322⟩
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2016

Journal articles

ref_biblio
Ivan Breslavsky, Marco Amabili, Mathias Legrand. Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material. Journal of Applied Mechanics, 2016, 83 (5), pp.051002. ⟨10.1115/1.4032549⟩. ⟨hal-01306523⟩
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https://hal.science/hal-01306523/file/shellBAL.pdf BibTex
ref_biblio
Ivan Breslavsky, Marco Amabili, Mathias Legrand, Farbod Alijani. Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes. International Journal of Non-Linear Mechanics, 2016, 84, pp.39-45. ⟨10.1016/j.ijnonlinmec.2016.04.011⟩. ⟨hal-01339533⟩
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https://hal.science/hal-01339533/file/BALA.pdf BibTex

Conference papers

ref_biblio
Ivan D Breslavsky, Marco Amabili, Mathias Legrand, Annie D Ruimi. Dynamics of statically pre-loaded human aorta. 24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montréal, Canada. ⟨hal-01575964⟩
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https://hal.science/hal-01575964/file/BALR.pdf BibTex
ref_biblio
Anders Thorin, Pierre Delezoide, Mathias Legrand. Nonsmooth modal analysis of piecewise-linear impact systems. 24th International Congress of Theoretical and Applied Mechanics, Aug 2016, Montreal, Canada. ⟨hal-01402551⟩
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https://hal.science/hal-01402551/file/thorinICTAM2016.pdf BibTex
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David Urman, Mathias Legrand. Nonlinear Modes of Vibration of Vibro-Impact Duffing Oscillators. 24th International Congress of Theoretical and Applied Mechanics (XXIV ICTAM), Aug 2016, Montreal, Canada. ⟨hal-01573247⟩
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https://hal.science/hal-01573247/file/ExtendedAbs.pdf BibTex
ref_biblio
Carlos Yoong, Anders Thorin, Mathias Legrand. Nonsmooth modal analysis for a one-dimensional finite bar subject to unilateral contact using the Wave Finite Element Method. The Fourth Joint International Conference on Multibody Systems Dynamics, May 2016, Montréal, Canada. ⟨hal-01408111⟩
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https://hal.science/hal-01408111/file/YTL.pdf BibTex
ref_biblio
Anders Thorin, Mathias Legrand. Nonsmooth modal analysis from elementary impact oscillators to turbomachines: limitations and avenues. 16th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery (ISROMAC 2016), Apr 2016, Honolulu, HI, United States. ⟨hal-01401772⟩
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https://hal.science/hal-01401772/file/isromac2016_thorin.pdf BibTex

Poster communications

ref_biblio
Yulin Shi, Mathias Legrand. Semismooth Newton solver for periodically-forced solutions to a unilateral contact formulation. 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016), Aug 2016, Montréal, Canada. . ⟨hal-01569609⟩
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https://hal.science/hal-01569609/file/article.pdf BibTex

2015

Journal articles

ref_biblio
Nicolas Salvat, Alain Batailly, Mathias Legrand. Two-dimensional modeling of unilateral contact-induced shaft precessional motions in bladed-disk/casing systems. International Journal of Non-Linear Mechanics, 2015, ⟨10.1016/j.ijnonlinmec.2015.10.001⟩. ⟨hal-01223046⟩
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https://hal.science/hal-01223046/file/Salvat_HaL_NLM.pdf BibTex
ref_biblio
Alain Batailly, Mathias Legrand. Unilateral contact induced blade/casing vibratory interactions in impellers: Analysis for flexible casings with friction and abradable coating. Journal of Sound and Vibration, 2015, 348, pp.344-364. ⟨10.1016/j.jsv.2015.03.027⟩. ⟨hal-01222732⟩
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https://hal.science/hal-01222732/file/articleHaL.pdf BibTex
ref_biblio
Alain Batailly, Mathias Legrand, Antoine Millecamps, François Garcin. Conjectural bifurcation analysis of the contact-induced vibratory response of an aircraft engine blade. Journal of Sound and Vibration, 2015, 348, pp.239-262. ⟨10.1016/j.jsv.2015.03.005⟩. ⟨hal-01223575⟩
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https://hal.science/hal-01223575/file/jsv2015_conj_HAL.pdf BibTex
ref_biblio
Alain Batailly, Markus Meingast, Mathias Legrand. Unilateral contact induced blade/casing vibratory interactions in impellers: Analysis for rigid casings. Journal of Sound and Vibration, 2015, 17, pp.244-262. ⟨10.1016/j.jsv.2014.10.010⟩. ⟨hal-01120157⟩
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https://hal.science/hal-01120157/file/article_JSV.pdf BibTex

Conference papers

ref_biblio
Alain Batailly, Mathias Legrand, Christophe Pierre. Full 3D rotor/stator interaction simulations in aircraft engines with time dependent angular speed. CFM 2015 - 22ème Congrès Français de Mécanique, Aug 2015, Lyon, France. ⟨hal-03444757⟩
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https://hal.science/hal-03444757/file/bitstream_116705.pdf BibTex
ref_biblio
Carlos Yoong, Anders Thorin, Mathias Legrand. The Wave Finite Element Method applied to a one-dimensional linear elastodynamic problem with unilateral constraints. The ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46919⟩. ⟨hal-01194922⟩
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https://hal.science/hal-01194922/file/IDETC2015HalOpt.pdf BibTex
ref_biblio
Anders Thorin, Mathias Legrand, Stéphane Junca. Nonsmooth modal analysis: Investigation of a 2-dof spring-mass system subject to an elastic impact law. International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, ASME, Aug 2015, Boston, United States. ⟨10.1115/DETC2015-46796⟩. ⟨hal-01185973⟩
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https://hal.science/hal-01185973/file/ThorinHal_IDETC2015.pdf BibTex
ref_biblio
Bérenger Berthoul, Alain Batailly, Mathias Legrand, Laurent Stainier, Patrice Cartraud. Abradable coating removal in turbomachines: a macroscopic approach accounting for various wear mechanisms. ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42500⟩. ⟨hal-01188846⟩
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https://hal.science/hal-01188846/file/paperHal.pdf BibTex
ref_biblio
Antoine Millecamps, Alain Batailly, Mathias Legrand, François Garcin. Snecma's Viewpoint on the Numerical and Experimental Simulation of Blade-Tip/Casing Unilateral Contacts. ASME Turbo Expo Conference, ASME, Jun 2015, Montréal, Canada. ⟨10.1115/GT2015-42682⟩. ⟨hal-01223582⟩
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https://hal.science/hal-01223582/file/Millecamps_HaL_Turbo15.pdf BibTex
ref_biblio
Bérenger Berthoul, Alain Batailly, Laurent Stainier, Mathias Legrand, Patrice Cartraud. Modélisation macroscopique des différents mécanismes d'usure d'un matériau abradable. 12e Colloque national en calcul des structures, CSMA; GeM; LMBS; LaSIE; LIMatB; LAMPA; LGCGM, May 2015, Giens, France. ⟨hal-01402723⟩
Accès au texte intégral et bibtex
https://hal.science/hal-01402723/file/r_WD4O9WSS.pdf BibTex

2014

Journal articles

ref_biblio
Simon Jones, Mathias Legrand. Forced vibrations of a turbine blade undergoing regularized unilateral contact conditions through the wavelet balance method. International Journal for Numerical Methods in Engineering, 2014, 101 (5), pp.351-374. ⟨10.1002/nme.4807⟩. ⟨hal-00806545v2⟩
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https://hal.science/hal-00806545/file/Contact_Bases.pdf BibTex
ref_biblio
Simon Jones, Tonghua Zhang, Mathias Legrand. The computation of wavelet-Galerkin three-term connection coefficients on a bounded domain. Progress in Applied Mathematics, 2014, 7 (1), pp.1-8. ⟨10.3968/5016⟩. ⟨hal-01059821⟩
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https://hal.science/hal-01059821/file/pam.pdf BibTex
ref_biblio
Ivan Breslavsky, Marco Amabili, Mathias Legrand. Nonlinear vibrations of thin hyperelastic plates. Journal of Sound and Vibration, 2014, pp.1001002. ⟨10.1016/j.jsv.2014.04.028⟩. ⟨hal-00983980⟩
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https://hal.science/hal-00983980/file/R4Hal.pdf BibTex
ref_biblio
Markus Meingast, Mathias Legrand, Christophe Pierre. A linear complementarity problem formulation for periodic solutions to unilateral contact problems. International Journal of Non-Linear Mechanics, 2014, 66, pp.18-27. ⟨10.1016/j.ijnonlinmec.2014.01.007⟩. ⟨hal-00955647⟩
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https://hal.science/hal-00955647/file/LCP_HAL.pdf BibTex
ref_biblio
Alain Batailly, Mathias Legrand, Antoine Millecamps, Sébastien Cochon, François Garcin. Redesign of a High-Pressure Compressor Blade Accounting for Nonlinear Structural Interactions. Journal of Engineering for Gas Turbines and Power, 2014, 137 (2), pp.022502. ⟨10.1115/1.4028263⟩. ⟨hal-01120158⟩
Accès au texte intégral et bibtex
https://hal.science/hal-01120158/file/article_JGTP.pdf BibTex

Conference papers

ref_biblio
Simon Jones, Mathias Legrand. Vibrations of an Axial Bar Experiencing Periodic Unilateral Contact Using the Wavelet Balance Method. 26th Conference on Mechanical Vibration and Noise, ASME, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-34725⟩. ⟨hal-01403614⟩
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https://hal.science/hal-01403614/file/SJML.pdf BibTex
ref_biblio
Ivan Breslavsky, Mathias Legrand, Marco Amabili. Vibration of a Square Hyperelastic Plate Around Statically Pre-Loaded State. ASME IDETC/CIE Conference, Aug 2014, Buffalo, United States. ⟨10.1115/DETC2014-35382⟩. ⟨hal-01195752⟩
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https://hal.science/hal-01195752/file/BreslavskyHaLOpt.pdf BibTex
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Sokly Heng, Stéphane Junca, Mathias Legrand. Nonlinear modes for a discrete mechanical system with rigid contact. 11th World Congress on Computational Mechanics (WCCM XI), Jul 2014, Barcelona, Spain. ⟨hal-03186031⟩
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https://hal.science/hal-03186031/file/a3443.pdf BibTex
ref_biblio
Alain Batailly, Mathias Legrand, Antoine Millecamps, François Garcin. High-pressure compressor blade dynamics under aerodynamic and blade-tip unilateral contact forcings. ASME Turbo Expo 2014, ASME, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25675⟩. ⟨hal-01130542⟩
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https://hal.science/hal-01130542/file/articleHaL.pdf BibTex
ref_biblio
Nicolas Salvat, Alain Batailly, Mathias Legrand. Two-dimensional modeling of shaft precessional motions induced by blade/casing unilateral contact in aircraft engines. Turbo Expo, ASME, Jun 2014, Dusseldorf, Germany. ⟨10.1115/GT2014-25688⟩. ⟨hal-01090671v2⟩
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https://hal.science/hal-01090671/file/HAL_TE2014.pdf BibTex
ref_biblio
Alain Batailly, Mathias Legrand. Conjectural Bifurcation Analysis of an Aircraft Engine Blade Undergoing 3D Unilateral Contact Constraints. ASME/IGTI Turbo Expo Conference, Jun 2014, Düsseldorf, Germany. ⟨10.1115/GT2014-25674⟩. ⟨hal-01183448⟩
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https://hal.science/hal-01183448/file/article.pdf BibTex

2013

Journal articles

ref_biblio
Ivan Breslavsky, Marco Amabili, Mathias Legrand. Physically and geometrically non-linear vibrations of thin rectangular plates. International Journal of Non-Linear Mechanics, 2013, 58, pp.30-40. ⟨10.1016/j.ijnonlinmec.2013.08.009⟩. ⟨hal-00864370⟩
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https://hal.science/hal-00864370/file/prHAL.pdf BibTex
ref_biblio
Nicolas Salvat, Alain Batailly, Mathias Legrand. Modeling of abradable coating removal in aircraft engines through delay differential equations. Journal of Engineering for Gas Turbines and Power, 2013, 135 (10), ⟨10.1115/1.4024959⟩. ⟨hal-00976915v2⟩
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https://hal.science/hal-00976915/file/article.pdf BibTex
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Alain Batailly, Marion Cuny, Mathias Legrand, Sylvain Philippon. Numerical-experimental confrontation in the simulation of tool/abradable material interaction. Journal of Engineering for Gas Turbines and Power, 2013, 135 (6), pp.062102. ⟨10.1115/1.4023262⟩. ⟨hal-00826981⟩
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https://hal.science/hal-00826981/file/article.pdf BibTex
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Simon Jones, Mathias Legrand. On Solving One-Dimensional Partial Differential Equations With Spatially Dependent Variables Using the Wavelet-Galerkin Method. Journal of Applied Mechanics, 2013, ⟨10.1115/1.4023637⟩. ⟨hal-01330602⟩
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https://hal.science/hal-01330602/file/JAMHAL.pdf BibTex

Conference papers

ref_biblio
Ivan Breslavsky, Marco Amabili, Mathias Legrand. Large Amplitude Vibrations of Thin Hyperelastic Plates: Neo-Hookean Model. ASME 2013 International Mechanical Engineering Congress and Exposition, Nov 2013, San Diego, United States. ⟨10.1115/IMECE2013-62253⟩. ⟨hal-01933743⟩
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https://hal.science/hal-01933743/file/breslavsky2013.pdf BibTex
ref_biblio
Alain Batailly, Markus B. Meingast, Mathias Legrand, Jean-Philippe Ousty. Rotor-stator interaction scenarios for the centrifugal compressor of a helicopter engine. ASME IDETC Conference, Aug 2013, Portland, United States. pp.IDETC-12211, ⟨10.1115/DETC2013-12211⟩. ⟨hal-00851396⟩
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https://hal.science/hal-00851396/file/IDETC2013.pdf BibTex
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Markus B Meingast, Alain Batailly, Mathias Legrand, Jean-Philippe Ousty. A qualitative numerical analysis of rotor-casing interactions in centrifugal compressors of helicopter engines. ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Aug 2013, Portland, United States. ⟨10.1115/DETC2013-12212⟩. ⟨hal-00851397⟩
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https://hal.science/hal-00851397/file/IDETC2013.pdf BibTex
ref_biblio
Nicolas Salvat, Alain Batailly, Mathias Legrand. Modeling of abradable coating removal in aircraft engines through delay differential equations. ASME Turbo Expo 2013, Jun 2013, San Antonio, United States. ⟨10.1115/1.4024959⟩. ⟨hal-00879815⟩
Accès au texte intégral et bibtex
https://hal.science/hal-00879815/file/HAL_TE2013_DDE.pdf BibTex
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Nicolas Salvat, Alain Batailly, Mathias Legrand. Modélisation de l'enlèvement de matériau abradable à l'aide d'équations différentielles à retard. 11e Colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨hal-01104675⟩
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https://hal.science/hal-01104675/file/HAL_Giens2013.pdf BibTex
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Markus B Meingast, Alain Batailly, Mathias Legrand, Jean-Philippe Ousty. Investigation of Rotor-Casing Interactions in the Centrifugal Compressor of a Helicopter Engine. ASME Turbo Expo 2013: Turbine Technical Conference and Exposition, 2013, San Antonio, United States. ⟨10.1115/GT2013-94461⟩. ⟨hal-02271334⟩
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https://hal.science/hal-02271334/file/te2013.pdf BibTex

Reports

ref_biblio
Nicolas Salvat, Alain Batailly, Mathias Legrand. Caractéristiques modales des mouvements d'arbre pour des structures à symétrie cyclique. [Rapport de recherche] Université McGill. 2013. ⟨hal-00881272v2⟩
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https://hal.science/hal-00881272/file/note.pdf BibTex

2012

Journal articles

ref_biblio
Alain Batailly, Mathias Legrand, Antoine Millecamps, François Garcin. Numerical-experimental comparison in the simulation of rotor/stator interaction through blade-tip/abradable coating contact. Journal of Engineering for Gas Turbines and Power, 2012, 134 (8), ⟨10.1115/1.4006446⟩. ⟨hal-00746632⟩
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https://hal.science/hal-00746632/file/article.pdf BibTex
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Mathias Legrand, Alain Batailly, Benoit Magnain, Patrice Cartraud, Christophe Pierre. Full three-dimensional investigation of structural contact interactions in turbomachines. Journal of Sound and Vibration, 2012, 331 (11), pp.2578-2601. ⟨10.1016/j.jsv.2012.01.017⟩. ⟨hal-00660863v3⟩
Accès au texte intégral et bibtex
https://hal.science/hal-00660863/file/articleHAL.pdf BibTex

Conference papers

ref_biblio
Simon Jones, Mathias Legrand. The wavelet-Galerkin method for solving PDE's with spatially dependent variables. 19th International Congress on Sound and Vibration (ICSV19), Jul 2012, Vilnius, Lithuania. ⟨hal-00719744⟩
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https://hal.science/hal-00719744/file/SimonJones_ICSV19.pdf BibTex
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Alain Batailly, Mathias Legrand, Millecamps Antoine, François Garcin. Numerical study of a rotor/stator interaction case experimentally simulated with an industrial compressor. ASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.1053-1062, ⟨10.1115/GT2012-68173⟩. ⟨hal-00714538⟩
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https://hal.science/hal-00714538/file/article.pdf BibTex
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Alain Batailly, Marion Cuny, Mathias Legrand. Numerical simulation of tool/abradable material interaction experiments. ASME Turbo Expo 2012 Turbine Technical Conference and Exposition, Jun 2012, Copenhaguen, Denmark. pp.51-60, ⟨10.1115/GT2012-68171⟩. ⟨hal-00841147⟩
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