An efficient scaled boundary finite element method for transient vibro-acoustic analysis of plates and shells

被引:36
作者
Li, Jianghuai [1 ]
Shi, Zhiyu [1 ]
Liu, Lei [2 ]
Song, Chongmin [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
[2] Univ New South Wales, Sch Civil & Environm Engn, Sydney, NSW 2052, Australia
基金
中国国家自然科学基金;
关键词
Vibro-acoustic analysis; Scaled boundary finite element method; Shell element; Normal scaling strategy; Non-matching meshes; Coupling scheme; DOUBLY ASYMPTOTIC APPROXIMATIONS; TO-NODE SCHEME; ISOGEOMETRIC ANALYSIS; UNBOUNDED-DOMAINS; SHEAR-LOCKING; STRAIN; DERIVATION; NURBS;
D O I
10.1016/j.compstruc.2020.106211
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper develops an efficient modeling technique based on the scaled boundary finite element method (SBFEM) for transient vibro-acoustic analysis of plates and shells. For simulating the structural dynamic behaviors, a novel shell formulation based on three-dimensional linear elastic theory is presented where only the bottom surface of the shell is discretized with finite elements while the solution along the thickness is expressed analytically as a Pade expansion. A new scaling idea named normal scaling strategy is introduced to enable the formulation to be applicable to geometrically arbitrary shells. The acoustic field is assumed to be infinite and first truncated by a spherical surface into an interior finite region and an exterior unbounded region. The former is further split into a number of bounded subdomains which are analyzed by the improved continued-fraction approach while the latter is simulated by the improved high-order doubly-asymptotic open boundary. These formulations are consistently constructed within the SBFEM framework. The structural and acoustic domains are discretized independently and a simple and reliable coupling scheme is devised. The Bathe time integration method is employed to perform the transient analysis. Numerical examples are presented to demonstrate the validity and performance of the proposed methodology. (C) 2020 Elsevier Ltd. All rights reserved.
引用
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页数:28
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