Benchmark cases for robust explicit time integrators in non-smooth transient dynamics

Autor: Gabriel Georges, David Dureisseix, Jean Di Stasio, Anthony Gravouil, Thomas Homolle
Přispěvatelé: Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne] (LaMCoS), Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Université de Lyon-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS), Centre de Technologie de Ladoux, Société Michelin, We gratefully acknowledge the French National Association for Research and Technology (ANRT, CIFRE grant number 2017/1555). This work was supported by the Manufacture Française de Pneumatiques Michelin.
Rok vydání: 2019
Předmět:
Angular momentum
Computer science
Property (programming)
Symplectic schemes
02 engineering and technology
Notation
01 natural sciences
Explicit time integrators
lcsh:TA168
0203 mechanical engineering
MSC Primary 65P10
37M15
70F40
Secondary 58J45
37M05
70F25
Applied mathematics
Transient (computer programming)
0101 mathematics
Engineering (miscellaneous)
Applied Mathematics
Dynamics (mechanics)
Computer Science Applications
Non-smooth dynamics
010101 applied mathematics
020303 mechanical engineering & transports
lcsh:Systems engineering
Modeling and Simulation
Integrator
[PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Mechanics of the structures [physics.class-ph]
Structural transient dynamics
Benchmark (computing)
Impact dynamics
lcsh:Mechanics of engineering. Applied mechanics
lcsh:TA349-359
Energy (signal processing)
Zdroj: Advanced Modeling and Simulation in Engineering Sciences, Vol 6, Iss 1, Pp 1-31 (2019)
Advanced Modeling and Simulation in Engineering Sciences
Advanced Modeling and Simulation in Engineering Sciences, SpringerOpen, 2019, Towards new paradigms for time integrators in computational dynamics, 6 (1), ⟨10.1186/s40323-019-0126-y⟩
ISSN: 2213-7467
DOI: 10.1186/s40323-019-0126-y
Popis: International audience; This article introduces benchmark cases for time integrators devoted to non-smooth impact dynamics. It focuses on numerical properties of explicit integrators. Each case tests one necessary numerical property in computational impact dynamics: energy behaviour at impact, angular momentum conservation, non-linear behaviour. The cases are easy to implement and analyse, providing a benchmark well-suited to first numerical studies. We rewrite explicit schemes for non-smooth impact dynamics with unified notations, and analyse them with the benchmark cases.
Databáze: OpenAIRE
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