Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods

Chen, Leilei, Huo, Ruijin, Lian, Haojie, Yu, Bo, Zhang, Mengxi, Natarajan, Sundararajan and Bordas, Stéphane P.A. ORCID: https://orcid.org/0000-0001-8634-7002 2025. Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods. Computer Methods in Applied Mechanics and Engineering 433 , 117464. 10.1016/j.cma.2024.117464

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Abstract

This paper presents a novel perburbation-based method for uncertainty quantification of acoustic fields and their shape sensitivities. In this work, the frequencies of impinging acoustic waves are regarded as random variables. Taylor’s series expansions of acoustic boundary integral equations are derived to obtain th-order derivatives of acoustic state functions with respect to frequencies. Acoustic shape sensitivity is obtained by directly differentiating acoustic boundary integral equation with respect to shape design variables, and then the th-order derivatives of shape sensitivity with respect to random frequencies are formulated with Taylor’s series expansions. Based on the th-order perturbation theory, the statistical characteristics of acoustic state functions and their shape sensitivities can be evaluated. Numerical examples are presented to demonstrate the validity and effectiveness of the proposed algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Elsevier
ISSN:	0045-7825
Date of Acceptance:	11 October 2024
Last Modified:	27 Nov 2024 09:10
URI:	https://orca.cardiff.ac.uk/id/eprint/173849

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