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Stochastic reduced-order model for dynamical structures having numerous local elastic modes in the low-frequency range

Abstract : We propose a method to construct a stochastic reduced-order model using only the global modes and in taking into account the local elastic modes with a probabilistic approach. The "global elastic modes" and the "local elastic modes" are calculated separately using a new formulation solving two generalized eigenvalue problems. The union of these two families constitutes a basis of the admissible space. Then, the reduced-order model is constructed by projection of the dynamical equation on the global elastic modes. The apparent damping generated in this reduced-order model by the powerflow of the mechanical energy from the global modes to the local modes is constructed by a statistical approach.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00699738
Contributor : Christian Soize <>
Submitted on : Monday, May 21, 2012 - 2:58:56 PM
Last modification on : Thursday, March 19, 2020 - 11:52:03 AM

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  • HAL Id : hal-00699738, version 1

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Anas Batou, Christian Soize. Stochastic reduced-order model for dynamical structures having numerous local elastic modes in the low-frequency range. ECCOMAS Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering (ECCM-2010), Jun 2010, Paris, France. pp.1-2. ⟨hal-00699738⟩

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