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AN INTEGRAL FORMULATION WITH RANDOM PARAMETERS ADAPTED TO THE STUDY OF THE VIBRATIONAL BEHAVIOUR OF STRUCTURES IN THE MIDDLE- AND HIGH-FREQUENCY FIELD

✍ Scribed by M. VIKTOROVITCH; F. THOUVEREZ; L. JEZEQUEL


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
408 KB
Volume
247
Category
Article
ISSN
0022-460X

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✦ Synopsis


The fundamentals of a new boundary element formulation applied to the study of structural dynamics on a wide frequency range is proposed in this paper. Random geometrical parameters are introduced to the integral representations in order to model the increasing sensitivity of the harmonic vibrational responses to any parameter perturbation when the frequency increases. It is shown that the signi"cant unknowns of the formulation are the expectations of the square boundary kinematic unknowns. Indeed, these variables are able to describe accurately the responses of the structures in the low-frequency "eld and deliver a smooth response in the middle-and high-frequency "eld, corresponding to the global trend of the structural dynamic response in this frequency domain. The formulation is established for isolated and assembled one-, two-and three-dimensional structures. Numerical applications illustrate the e!ectiveness of the method.

2001 Academic press