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A STOCHASTIC APPROACH OF THE ENERGY ANALYSIS FOR ONE-DIMENSIONAL STRUCTURES

✍ Scribed by M. Viktorovitch; P. Moron; F. Thouverez; L. Jézéquel

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
362 KB
Volume
216
Category
Article
ISSN
0022-460X

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✦ Synopsis

This paper presents a complete and rigourous derivation of the well-known power flow equations, by introducing two types of Gaussian random parameters in the description of the studied structures: the first one deals with the spatial position, and the latter with the location of the boundaries. Investigations are carried out for the case of one-dimensional systems (longitudinal vibrations in rods and transverse displacements in beams). The Simplified Energy Method equations are found to be the asymptotic form of the random relationships, when the frequency as well as the standard deviation are sufficiently high. Moreover, the input powers used in SEM models are restored by the stochastic formulation.

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