A new random boundary element formulation applied to high frequency phenomena

Citation
M. Viktorovitch et al., A new random boundary element formulation applied to high frequency phenomena, J SOUND VIB, 223(2), 1999, pp. 273-296
Citations number
18
Categorie Soggetti
Optics & Acoustics
Journal title
JOURNAL OF SOUND AND VIBRATION
ISSN journal
0022460X → ACNP
Volume
223
Issue
2
Year of publication
1999
Pages
273 - 296
Database
ISI
SICI code
0022-460X(19990603)223:2<273:ANRBEF>2.0.ZU;2-E
Abstract
The basis of a new boundary element method adapted to wide frequency range applications is proposed in this paper. The formulation employs the frequen cy domain dynamic fundamental solutions of the problems. Random geometrical parameters are introduced in the integral equations. These equations are t hen modified to exhibit the products of the different kinematic variables. The expectations of the new equations with respect to the latter random var iables are considered, and the new variables of the formulation are the dif ferent stochastic moments force-displacement variables. This formulation is applied to different structures, such as beams, rods and assembled one-dim ensional systems. (C) 1999 Academic Press.