Unstructured zero-order energy finite element method for coupled plate structures
ZHOU Hong-wei CHEN Hai-bo WANG Yong-yan
Department of Modern Mechanics , University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials , Hefei 230026, Anhui, P.R. China
Abstract:Base on the governing equations of Energy Flow Analysis (EFA), meshing plates by triangles, an unstructured zero-order energy finite element method (uEFEM0) is developed. A procedure of calculate the L-shape plates and a simplified vehicle shell was presented, in which both bending and in-plane wave fields were considered. The proposed method was used to predict the distribution of energy response. To confirm its validity, Energy Finite Element Method (EFEM) and Statistical Energy Analysis (SEA) were employed to simulate the same structures, and the results show a good agreement. For simulating plates vibrating in high frequency, it is necessary to considering not only bending wave field but also in-plane wave fields, since the level of in-plane wave energy could be close to that of bending wave energy.
周红卫,陈海波,王用岩. 耦合板结构的非结构零阶能量有限元分析[J]. 振动与冲击, 2015, 34(13): 140-145.
ZHOU Hong-wei CHEN Hai-bo WANG Yong-yan. Unstructured zero-order energy finite element method for coupled plate structures. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(13): 140-145.
[1] 伍先俊, 朱石坚, 曹建华. 结构声振研究的功率流方法[J]. 力学进展, 2006, 36(3): 363-372.
WU Xian-jun, ZHU Shi-jian, CAO Jian-hua. Review on structural vibration power flow prediction methods[J]. Advances in Mechanics, 2006, 36(3): 363-372.
[2] Nefske D J, Sung S H. Power flow finite element analysis of dynamic systems: basic theory and application to beams[J]. Journal of Vibration Acoustics Stress and Reliability in Design, 1989, 111(1): 94-100.
[3] Wohlever J C, Bernhard R J. Mechanical energy flow models of rods and beams[J]. Journal of Sound and Vibration, 1992, 153(1): 1-19.
[4] 孙丽萍, 聂武. 杆, 梁结构振动能量密度的简化解法[J]. 哈尔滨工程大学学报, 2004, 25(4): 403-406.
SUN Li-ping, NIE Wu. A simplified method for solving energy density of rods and beams[J]. Journal of Harbin Engineering University, 2004, 25(4):403-406.
[5] Bouthier O M, Bernhard R J. Simple models of the energetics of transversely vibrating plates[J]. Journal of Sound and Vibration, 1995, 182(1): 149-164.
[6] 游进, 李鸿光, 孟光. 耦合板结构随机能量有限元分析[J]. 振动与冲击, 2009, 28(11): 43-46.
YOU Jin, LI Hong-guang, MENG Guang. Random energy finite element analysis of coupled plate structures[J]. Journal of Vibration and Shock, 2009, 28(11):43-46.
[7] Wang Shuo. High frequency energy flow analysis methods: Numerical implementation, applications, and verification[D]. Purdue University: United States, 2000.
[8] Moens I. On the use and the validity of the energy finite element method for high frequency vibrations[M]. Duitsland: Faculteit Toegepaste Wetenschappen, 2001. pp230.
[9] Langley R S, Heron K H. Elastic wave transmission through plate/beam junctions[J]. Journal of Sound and Vibration, 1990, 143(2): 241-253.
[10] Dong J, Choi K K, Wang A, et al. Parametric design sensitivity analysis of high‐frequency structural–acoustic problems using energy finite element method[J]. International Journal for Numerical Methods in Engineering, 2005, 62(1): 83-121.
[11] 刘学哲, 余云龙, 王瑞利, 等. 非结构任意多边形网格辐射扩散方程有限体积格式[J]. 数值计算与计算机应用, 2010 31(4): 259-270.
LIU Xue-zhe, YU Yun-long, WANG Rui-li, et al. A cell-centered finite volume scheme for discretizing diffusion equation on unstructured arbitrary polygonal meshes[J], Journal on Numerical Methods and Computer Applications, 2010, 31(4): 259-270.
[12] Bitsie F. The structural-acoustic energy finite-element method and energy boundary-element method[D]. Purdue University: United States, 1996.
[13] Park D H, Hong S Y, Kil H G, et al. Power flow models and analysis of in-plane waves in finite coupled thin plates[J]. Journal of Sound and Vibration, 2001, 244(4): 651-668.