Skip to Main content Skip to Navigation
Conference papers

Uncertain quantification in nonlinear dynamics with an high-dimensional computational model

Abstract : The present work concerns the dynamical analysis of an uncertain structure in the context of nonlinear dynamics. The structure is assumed to undergo large displacements and large deformations although the constitutive equations remain linearly elastic. The proposed strategy is compatible with the use of high-dimensional computational models, requiring to compute the random dynamical response from a stochastic nonlinear reduced-order model expressed in the time domain. With the proposed method, the uncertainty is introduced by replacing a deterministic chosen reduced-order basis with a stochastic projection basis, for which a new nonparametric probabilistic approach is used so that each realization of the projection basis respects some mathematical properties linked to the available information. The methodology is then applied on a computational model of a bi-clamped tridimensional beam structure.
Complete list of metadatas

Cited literature [13 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-01876788
Contributor : Christian Soize <>
Submitted on : Tuesday, September 18, 2018 - 6:37:13 PM
Last modification on : Thursday, March 19, 2020 - 11:52:04 AM

File

conference-2018-ISMA-Leuven-se...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01876788, version 1

Collections

Citation

Evangéline Capiez-Lernout, Christian Soize. Uncertain quantification in nonlinear dynamics with an high-dimensional computational model. Conference on Noise and Vibration Engineering (ISMA 2018), Sep 2018, Leuven, Belgium. pp.1-11. ⟨hal-01876788⟩

Share