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Communication Dans Un Congrès Année : 2021

DYNC: a Cast3M module for the bifurcation analysis of nonlinear mechanical vibrations

Résumé

This work presents a recently developed implementation of numerical methods for vibration problems involving nonlinear mechanical systems in the finite element software Cast3M. The strategy consists in solving the modal equations of motion for generic structures through a continuation method. Hence, the evolution of steady-state periodic solutions over given parameter ranges can be assessed. Of particular interest are stability computations, which are performed at each continuation step and through which any potential bifurcation is detected. Examples showing forced and free responses of beam structures are presented.
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Dates et versions

hal-04235235 , version 1 (10-10-2023)

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  • HAL Id : hal-04235235 , version 1

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Roberto Alcorta, Benoit Prabel, Sébastien Baguet. DYNC: a Cast3M module for the bifurcation analysis of nonlinear mechanical vibrations. NODYCON 2021 Second International Nonlinear Dynamics Conference, Feb 2021, Rome ( Virtual ), France. ⟨hal-04235235⟩
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