Academic Journal
Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-α scheme
| العنوان: | Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-α scheme |
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| المؤلفون: | Brüls, Olivier, Acary, Vincent, Cardona, Alberto |
| المساهمون: | Aerospace and Mechanical Engineering Department Liège (LTAS), Université de Liège, Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems (BIPOP), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS), Universidad Nacional del Litoral Santa Fe (UNL) |
| المصدر: | ISSN: 0045-7825 ; Computer Methods in Applied Mechanics and Engineering ; https://inria.hal.science/hal-01059823 ; Computer Methods in Applied Mechanics and Engineering, 2014, 281, pp.131-161. ⟨10.1016/j.cma.2014.07.025⟩. |
| بيانات النشر: | HAL CCSD Elsevier |
| سنة النشر: | 2014 |
| المجموعة: | Université de Rennes 1: Publications scientifiques (HAL) |
| مصطلحات موضوعية: | Time-stepping schemes, Nonsmooth contact dynamics, Time integration, Generalized-α method, Flexible multibody system, Index reduction, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], [PHYS.MECA]Physics [physics]/Mechanics [physics], [PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph], [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] |
| الوصف: | International audience ; This paper presents a formalism for the transient simulation of nonsmooth dynamic mechanical systems composed of rigid and flexible bodies, kinematic joints and frictionless contact conditions. The proposed algorithm guarantees the exact satisfaction of the bilateral and unilateral constraints both at position and velocity levels. Thus, it significantly differs from penalty techniques since no penetration is allowed. The numerical scheme is obtained in two main steps. Firstly, a splitting method is used to isolate the contributions of impacts, which shall be integrated with only first-order accuracy, from smooth contributions which can be integrated using a higher order scheme. Secondly, following the idea of Gear, Gupta and Leimkuhler, the equation of motion is reformulated so that the bilateral and unilateral constraints appear both at position and velocity levels. After time discretization, the equation of motion involves two complementarity conditions and it can be solved at each time step using a monolithic semi-smooth Newton method. The numerical behaviour of the proposed method is studied and compared to other approaches for a number of numerical examples. It is shown that the formulation offers a unified and valid approach for the description of contact conditions between rigid bodies as well as between flexible bodies. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-01059823; https://inria.hal.science/hal-01059823; https://inria.hal.science/hal-01059823/document; https://inria.hal.science/hal-01059823/file/BrulsAcaryCardona2014_CMAME_Rev5.pdf |
| DOI: | 10.1016/j.cma.2014.07.025 |
| الاتاحة: | https://inria.hal.science/hal-01059823 https://inria.hal.science/hal-01059823/document https://inria.hal.science/hal-01059823/file/BrulsAcaryCardona2014_CMAME_Rev5.pdf https://doi.org/10.1016/j.cma.2014.07.025 |
| Rights: | http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.BDDBE02C |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.cma.2014.07.025 |
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