PLEXUS — Software for the Numerical Analysis of the Dynamical Behavior of Rigid and Flexible Mechanisms

Barraco, A.; Cuny, B.; Hoffmann, A.; Jamet, Pierre; Combescure, Alain; Lepareux, M.; Bung, H.

doi:10.1007/978-3-642-50995-7_22

Cited by 3 publications

(4 citation statements)

References 1 publication

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“…Nevertheless, the condensation operator remains very sparse and, by a suitable renumbering algorithm applied to the relations [4], its bandwidth can be reduced drastically; therefore, its inversion is still easy.…”

Section: General Properties Of the Condensation Operator Hmentioning

confidence: 99%

Local modal reduction in explicit dynamics with domain decomposition. Part 2: specific interface treatment when modal subdomains are involved

Faucher

Combescure

2004

Numerical Meth Engineering

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SUMMARYDuring the last 2 years, a multidomain formalism for structural dynamics based on a multi-time-step algorithm and local linear modal reduction was proposed by Gravouil, Combescure, Herry & Faucher.In the first part of this paper, we extended modal reduction to subdomains undergoing finite rigid-body rotations. Here, we focus on the consequences of local modal projection (either linear or geometrically non-linear) on the treatment of interface problems between subdomains. In particular, we address the issues of the invertibility and efficiency of the solution process. We illustrate our propositions with specific interpretations of the examples presented in Part 1 and present an additional example to demonstrate the properties of special sets of modes.

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Section: General Properties Of the Condensation Operator Hmentioning

confidence: 99%

Local modal reduction in explicit dynamics with domain decomposition. Part 2: specific interface treatment when modal subdomains are involved

Faucher

Combescure

2004

Numerical Meth Engineering

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“…floating frame of reference [5]). The large rigid motion is represented using the so-called four-masses approach [8], close to the natural co-ordinates approach introduced in Reference [15].…”

Section: Decomposition Of the Displacement Fieldmentioning

confidence: 99%

“…If one uses classical rotation parameters, such as Euler angles or spin vector, it is difficult to determine stability conditions for an explicit integration scheme. This motivated us to introduce a new set of parameters, based on the so-called 'four-mass' concept [8,9], to describe global rigid motion. The position and orientation of the local frame are given by four points whose distances to one another are kept constant during the simulation.…”

Section: Introductionmentioning

confidence: 99%

Local modal reduction in explicit dynamics with domain decomposition. Part 1: extension to subdomains undergoing finite rigid rotations

Faucher

Combescure

2004

Numerical Meth Engineering

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SUMMARYWe present an extension of the dual Schur multidomain method with local linear modal reduction previously introduced by Gravouil, Combescure, Herry and Faucher to the case of modal reduction on geometrically non-linear vibrating subdomains. This first part of a two-part paper describes a new formalism, based on an original set of parameters, to represent a subdomain's finite rigid-body motion. Special attention is paid to the stability issues with time integration using the central difference scheme. The method is validated on an academic example and its efficiency is demonstrated on a large-scale example.

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“…PLEXUS é um software desenvolvido por Barraco et al (1990) para análise de corpos rígidos baseado no princípio do trabalho virtual, e as deformações são analisadas pelo método dos elementos finitos que permite a análise numérica do comportamento diaâmico de corpos rígidos e flexíveis.…”

Section: Simulação Computacionalunclassified

Modelagem e simulação de um veículo automotivo usando uma metodologia de sistema multicorpos aproximada

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PLEXUS — Software for the Numerical Analysis of the Dynamical Behavior of Rigid and Flexible Mechanisms

Cited by 3 publications

References 1 publication

Local modal reduction in explicit dynamics with domain decomposition. Part 2: specific interface treatment when modal subdomains are involved

Local modal reduction in explicit dynamics with domain decomposition. Part 2: specific interface treatment when modal subdomains are involved

Local modal reduction in explicit dynamics with domain decomposition. Part 1: extension to subdomains undergoing finite rigid rotations

Modelagem e simulação de um veículo automotivo usando uma metodologia de sistema multicorpos aproximada

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