Generalized nth-Order Perturbation Method Based on Loop Subdivision Surface Boundary Element Method for Three-Dimensional Broadband Structural Acoustic Uncertainty Analysis

Ruijin Huo^1,2,3, Qingxiang Pei^1,2,3, Xiaohui Yuan^1,*, Yanming Xu³
1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 Henan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, 464000, China
3 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, College of Architecture and Civil Engineering, Huanghuai University, Zhumadian, 463000, China
* Corresponding Author: Xiaohui Yuan. Email: email
(This article belongs to the Special Issue: Integration of Physical Simulation and Machine Learning in Digital Twin and Virtual Reality)

Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2024.049185

Received 29 December 2023; Accepted 23 February 2024; Published online 26 April 2024

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Abstract

In this paper, a generalized th-order perturbation method based on the isogeometric boundary element method is proposed for the uncertainty analysis of broadband structural acoustic scattering problems. The Burton-Miller method is employed to solve the problem of non-unique solutions that may be encountered in the external acoustic field, and the th-order discretization formulation of the boundary integral equation is derived. In addition, the computation of loop subdivision surfaces and the subdivision rules are introduced. In order to confirm the effectiveness of the algorithm, the computed results are contrasted and analyzed with the results under Monte Carlo simulations (MCs) through several numerical examples.

Keywords

Perturbation method; loop subdivision surface; isogeometric boundary element method; uncertainty analysis

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Generalized nth-Order Perturbation Method Based on Loop Subdivision Surface Boundary Element Method for Three-Dimensional Broadband Structural Acoustic Uncertainty Analysis

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