1 School of Mechanical Engineering, Shandong University, Jinan 250061
2 Key Laboratory of High-efficiency and Clean Mechanical Manufacture (Shandong University), Ministry of Education, Jinan 250061
3 The Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academic of Sciences, Beijing 100190
Abstract:To study the large coupled structures such as high speed train bodies, the power transmission coefficients should be solved at first when using energy methods such as the energy flow finite element method (EFFEM). By using two semi-infinite plates to substitute the L-shaped coupled plate and concerning the flexure wave, longitudinal wave and share wave in plane simultaneously, the characteristics of wave transforming are investigated and the transmission coefficients are solved in coupled boundary by using traveling method. Based on the resultant formulation, the variation rule of wave transforming and transmission coefficients with the incident wave angle, plate thickness and incident wave frequency (20rad/s~2e6rad/s) are discussed in details. The results show that the plate height and incident frequency have important influence on the wave transforming and transmission coefficients. For the situation of thick plate and high incident frequency, the effect of longitudinal wave and shear wave in plane cannot be neglected, because it becomes larger and larger with the increasing of plate height and excitation frequency.
[1] 宋孔杰, 张蔚波, 牛军川. 功率流理论在柔性振动控制技术中的应用于发展. 机械工程学报, 2003, 39(9): 23-28
[2] Cremer L, Heckl M and Ungar E E. Structure-borne Sound, Second Edition [M]. Springer-Verlag, 1988
[3] Cho P E. Bernhand R J. Coupling of continuous beam models. Proceedings of Inter-noise, 1992, Toronto: 487-492
[4] Mace B R. Power flow between two coupled beams [J]. Journal of Sound and Vibration, 1992, 159(2): 305-325
[5] 李天匀, 张维衡, 张小铭. L型加筋板结构的导纳功率流研究[J]. Journal of Vibration Engineering, 1993, 10(1): 112~117
[6] 仪垂杰, 连小珉, 蒋孝煜. 梁-阶梯板耦合结构的功率流[J]. 清华大学学报(自然科学版), 1996, 36(3): 96-100
[7] 王敏庆, 盛美萍, 孙进才等. 板受力激励下加筋板结构振动功率流[J]. 声学学报, 1997, 22(4): 323-328
[8] 王彦琴, 盛美萍, 孙进才. 变截面梁-板耦合结构的功率流[J]. 振动与冲击, 2005, 24(2): 33-36
[9] Park D H, Hong S Y. 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
[10] Langley R S and Heron K H. Elastic wave transmission through plate/beam junctions [J]. Journal of Sound and Vibration, 1990, 143(2): 241-253
[11] 李坤朋. 基于能量有限元法的板耦合结构振动特性分析[C]. 济南: 山东大学, 2013
[12] 赵芝梅, 盛美萍. 激励特性对L型板振动功率流的影响[J]. 兵工学报, 2013, 34(8): 986-993
[13] Niu Junchuan, Li Kunpeng. Energy finite element analysis of n-shaped plate structures with three types of wave. Advances in vibration engineering, 2014 (accepted)
[14] Bouthier O M, Bernhard R J. Simple models of energetic of transversely vibrating plates [J]. Journal of Sound and Vibration, 1995, 182(1): 149-164
[15] Miklowitz J. The theory of Elastic waves and waveguides. Amsterdam: North-Holland, 1978
[16] Cho P E. Energy flow analysis of coupled structures [D]. PhD Thesis, Purdue University, USA, 1993