Skip to Main content Skip to Navigation
Journal articles

Transient responses of dynamical systems with random uncertainties

Christian Soize 1, *
* Corresponding author
Abstract : A new approach is presented for modeling random uncertainties by a nonparametric model allowing transient responses of mechanical systems submitted to impulsive loads to be predicted in the context of linear structural dynamics. The probability model is deduced from the use of the entropy optimization principle whose available information involves the algebraic properties related to the generalized mass, damping and stiffness matrices which have to be positive-definite symmetric matrices, and the knowledge of these matrices for the mean reduced matrix model. An explicit construction and representation of the probability model have been obtained and are very well suited to algebraic calculus and to Monte Carlo numerical simulation in order to compute the transient responses of structures submitted to impulsive loads. Finally, a simple example is presented.
Complete list of metadatas

Cited literature [30 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00686285
Contributor : Christian Soize <>
Submitted on : Monday, April 9, 2012 - 6:48:32 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:08 PM
Long-term archiving on: : Monday, November 26, 2012 - 1:15:21 PM

File

publi-2001-PEM-16_363-372-soiz...
Files produced by the author(s)

Identifiers

Collections

Citation

Christian Soize. Transient responses of dynamical systems with random uncertainties. Probabilistic Engineering Mechanics, Elsevier, 2001, 16 (4), pp.363-372. ⟨10.1016/S0266-8920(01)00026-1⟩. ⟨hal-00686285⟩

Share

Metrics

Record views

445

Files downloads

322