Hybrid interval and random analysis for structural-acoustic systems including periodical composites and multi-scale bounded hybrid uncertain parameters

Chen, Ning, Xia, Siyuan, Yu, Dejie, Liu, Jian and Beer, Michael ORCID: 0000-0002-0611-0345 (2019) Hybrid interval and random analysis for structural-acoustic systems including periodical composites and multi-scale bounded hybrid uncertain parameters. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 115. pp. 524-544.

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Abstract

For the response analysis of periodical composite structural–acoustic systems with multi-scale uncertain-but-bounded parameters, a bounded hybrid uncertain model is introduced, in which the interval variables and the bounded random variables exist simultaneously. In the periodical composite structural–acoustic system, the equivalent macro constitutive matrix and average mass density of the microstructure are calculated through the homogenization method. On the basis of the conventional first-order Taylor series expansion, a homogenization-based hybrid stochastic interval perturbation method (HHSIPM) is developed for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters. By incorporating the Gegenbauer polynomial approximation theory into the homogenization-based finite element method, a homogenization-based Gegenbauer polynomial expansion method (HGPEM) is also proposed to calculate the bounds of expectation and variance of the sound pressure response. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of the HHSIPM and HGPEM for the prediction of periodical composite structural–acoustic systems with multi-scale bounded hybrid uncertain parameters.

Item Type:	Article
Uncontrolled Keywords:	Gegenbauer polynomials, Structural-acoustic system, Homogenization method, Periodical composites, Bounded hybrid uncertain model
Depositing User:	Symplectic Admin
Date Deposited:	14 Nov 2018 09:37
Last Modified:	19 Jan 2023 01:12
DOI:	10.1016/j.ymssp.2018.06.016
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3028742