A hybrid cell-based smoothing point interpolation method for solving structural-acoustic problems
CHEN Zecong1, CHEN Yuzhen2, HE Zhicheng3, ZHANG Guiyong1,4,5, WANG Haiying6
1.Liaoning Engineering Laboratory for Deep-Sea Floating Structures, School of Naval Architecture, Dalian University of Technology, Dalian 116024, China;
2.Shanghai Merchant Ship Design & Research Institute, CSSC，Shanghai 201203, China;
3.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China;
4.State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
5.Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China;
6.School of Navigation and Marine Engineering, Dalian Ocean University, Dalian 116023, China
Abstract：The structural-acoustic models based on finite element method (FEM) suffer from considerable dispersion error in relatively high frequencies due to their “overly-stiff” property.In order to improve the accuracy of simulation, a hybrid cell-based smoothed point interpolation method (CSαPIM) with gradient smoothing technique (GST) was applied to cope with three-dimensional acoustic problems.Modal analysis and frequency response analysis were conducted using a structural-acoustic model, which was constructed by combining CSαPIM for acoustic domain with the edge-based smoothed finite element method (ESFEM) for a two-dimensional plate.It was shown that the present model can provide more accurate results owing to the ability of softening the stiffness effectively.Besides, as linear triangular and tetrahedral elements have been used for the discretization of structure and acoustic domains respectively, the mesh of the problem can be generated automatically for complicated geometries with much less pre-processing time.Therefore, the present method is promising.
收稿日期: 2017-09-13
出版日期: 2019-04-15
引用本文:
陈泽聪1，陈毓珍2，何智成3，张桂勇1,4,5，王海英6. 应用混合单元基光滑点插值法的声固耦合分析[J]. 振动与冲击, 2019, 38(8): 238-245.
CHEN Zecong1, CHEN Yuzhen2, HE Zhicheng3, ZHANG Guiyong1,4,5, WANG Haiying6. A hybrid cell-based smoothing point interpolation method for solving structural-acoustic problems. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(8): 238-245.
[1] Gladwell GML, Zimmermann G. On energy and complementary energy formulations of acoustic and structural vibration problems[J]. Journal of Sound & Vibration, 1966, 3(3):233-241.
[2] Craggs A. The transient response of a coupled plate-acoustic system using plate and acoustic finite elements[J]. Journal of Sound & Vibration, 1971, 15(4):509-528.
[3] Ihlenburg F, Babuška I. Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM[J]. Siam Journal on Numerical Analysis, 1995, 34(1):315-358.
[4] Wu TW. Boundary element acoustics : fundamentals and computer codes[M]. WIT Press, 2002.
[5] Everstine GC. Finite element formulatons of structural acoustics problems[J]. Computers & Structures, 1997, 65(3):307-321.
[6] Nefske DJ, Jr JAW, Howell L. Acoustic finite element analysis of the automobile passenger compartment[J]. Journal of the Acoustical Society of America, 1979, 65(S1):S76-S77.
[7] 李传兵, 李克强, 富丽娟. 基于结构与声场耦合模态分析的车内噪声控制方法[J]. 中国机械工程, 2002, 13(10):833-835.
LI Chuan-bin, LI Ke-qiang, FU Li-juan. Approach on controlling interior noise of cars based on structural-acoustic modal analysis[J]. China Mechnical Engineering, 2002, 13(10):833-835.
[8] Kopuz Ş, Ünlüsoy YS, Çalişkan M. Integrated FEM/BEM approach to the dynamic and acoustic analysis of plate structures[J]. Engineering Analysis with Boundary Elements, 1996, 17(4):269-277.
[9] 黎胜, 赵德有. 用边界元法计算结构振动辐射声场[J]. 大连理工大学学报, 2000, 40(4):391-394.
LI Sheng, ZHAO De-you. Simulation for sound field radiated by structure vibration using boundary element method[J]. Journal of Dalian University of Technology, 2000, 40(4):391-394.
[10] 闫再友, 姜楫, 严明. 利用边界元法计算无界声场中结构体声辐射[J]. 上海交通大学学报, 2000, 34(4):520-523.
YAN Zai-you, JIANG Ji, YAN Ming. Solve acoustic radiation from structure in unbounded field using boundary element method[J]. Journal of Shanghai Jiaotong University, 2000, 34(4):520-523.
[11] Ihlenburg F, Babuska I, Sauter S. Reliability of finite element methods for the numerical computation of waves[J]. Advances in Engineering Software, 1997, 28(7):417-424.
[12] Liu GR, Nguyen TT. Smoothed finite element methods[M]. Boca Raton: CRC Press, 2010.
[13] Liu GR, Zhang GY. Smoothed Point Interpolation Methods[M]. Singapore: World Scientific, 2013.
[14] 姚凌云, 于德介, 臧献国. 壳结构声场耦合分析的光滑有限元-有限元法[J]. 中国机械工程, 2010, 21(15):1765-1770.
YAO Ling-yun, YU De-jie, ZANG Xian-guo. Analysis of shell structural-acoustic coupling problems based on smoothed finite element-finite element method[J]. China Mechnical Engineering, 2010, 21(15):1765-1770.
[15] 何智成, 李光耀, 成艾国, et al. 基于边光滑有限元的声固耦合研究[J]. 机械工程学报, 2014, 50(4):113-119.
HE Zhi-cheng, LI Guang-yao, CHENG Ai-guo , et al. Structural-acoustic coupling study based on edge-based finite element method[J]. Journal of Mechnical Engineering, 2014, 50(4):113-119.
[16] Li E, He ZC, Xu X, et al. Hybrid smoothed finite element method for acoustic problems[J]. Computer Methods in Applied Mechanics & Engineering, 2015, 283:664-688.
[17] Liu GR, Zhang GY, Zong Z, et al. Meshfree cell-based smoothed alpha radial point interpolation method (CSαRPIM) for solid mechanics problems[J]. International Journal of Computational Methods, 2013, 10(04):773-.
[18] Cui X, Liu GR, Li GY, et al. Analysis of plates and shells using an edge-based smoothed finite element method[J]. Computational Mechanics, 2010, 45(2-3):141-156.
[19] Nguyen-Xuan H, Liu GR, Thai-Hoang C, et al. An edge-based smoothed finite element method (ES-FEM) with stabilized discrete shear gap technique for analysis of Reissner–Mindlin plates[J]. Computational Mechanics, 2010, 199(9):471-489.
[20] Liu GR, Nguyen-Thoi T, Lam KY. An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses of solids[J]. Journal of Sound & Vibration, 2009, 320(4–5):1100-1130.
