Maximum entropy approach for modeling random uncertainties in transient elastodynamics

Abstract : A new approach is presented for analyzing random uncertainties in dynamical systems. This approach consists of 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 information used dues not require the description of the local parameters of the mechanical model. The probability model is deduced from the use of the entropy optimization principle. whose available information is constituted of the algebraic properties related to the generalized mass, damping, and stiffness matrices which have to he 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. The fundamental properties related to the convergence of the stochastic solution with respect to the dimension of the random reduced matrix model are analyzed. Finally, an example is presented.
Complete list of metadatas

Cited literature [34 references]  Display  Hide  Download

https://hal-upec-upem.archives-ouvertes.fr/hal-00686287
Contributor : Christian Soize <>
Submitted on : Tuesday, April 10, 2012 - 11:23:15 PM
Last modification on : Tuesday, March 26, 2019 - 2:24:03 PM
Long-term archiving on : Monday, November 26, 2012 - 1:16:14 PM

File

publi-2001-JASA-109_5_1979-199...
Files produced by the author(s)

Identifiers

Collections

Citation

Christian Soize. Maximum entropy approach for modeling random uncertainties in transient elastodynamics. Journal of the Acoustical Society of America, Acoustical Society of America, 2001, 109 (5), pp.1979-1996. ⟨10.1121/1.1360716⟩. ⟨hal-00686287⟩

Share

Metrics

Record views

431

Files downloads

450