Vibration power flow of multi-plate coupled structures based on traveling wave approach

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Journal of Vibration and Shock ›› 2017, Vol. 36 ›› Issue (3) : 156-162.

QI Qiongfang1,YU Min1,CHEN Pan2

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Abstract

The general expressions of the traveling wave approach for a discrete plate were established, by introducing local coordinates, discrete wave amplitude coefficient matrix, and assemble state vector matrix. These general expressions led to that the study object of the traveling wave approach was extended from simple plates to multi-plate coupled structures. Structural steady vibration responses calculated with the self-compiled program of the traveling wave approach were compared with the numerical results with the finite element method. This traveling wave approach semi-analytical solution was verified to be effective and convenient. Based on the classical thin plate theory and Mindlin plate theory, respectively, the traveling wave method was used to compute active power flow and passive power flow of multi-plate coupled structures. The calculated results showed that within the whole frequency range, shear and rotary inertia inplane have a great influence on active power flow and passive power flow; when conducting active power flow control, using the thick plate theory is recomended as far as possible; increase in loss factor can effectively reduce the peak value of passive power flow near the frequency range of resonances, but this influence is not large within the other frequency range. 

Key words

traveling wave approach / multi-plate coupled structure / active power flow / passive power flow / reactive power flow

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QI Qiongfang1,YU Min1,CHEN Pan2. Vibration power flow of multi-plate coupled structures based on traveling wave approach[J]. Journal of Vibration and Shock, 2017, 36(3): 156-162

References

[1] Cremer L, Heckl M, Petersson B A T. Structure-borne sound [J]. Physics Today, 1975, (28): 81
[2] 计方, 姚熊亮, 叶曦. 阻振质量参数对动力舱段隔振性能影响规律研究 (英文)[J]. 船舶与海洋工程学报: 英文版, 2011 10(1): 25-32.
JI Fang, YAO Xiong-liang, YE Xi. The influence of blocking mass parameters on the vibration isolation performance of a power cabin[J]. Journal of Marine Science and Application, 2011, 10(1):25-32.
[3] 计方, 路晓东, 姚熊亮. 船体结构粘弹性夹层阻抑振动波传递特性研究[J]. 应用基础与工程科学学报, 2012, 20(3): 464-471.
JI Fang, LU Xiao-dong, YAO Xiong-liang. Research on hull structure elastic interlayer impending vibration wave propagation[J]. Journal of Basic Science and Engineering, 2012, 20(3): 464-471.
[4] 车驰东, 陈端石. 多转角结构中转角处附加的阻振质量对结构波传递的抑制[J]. 船舶力学, 2010, 14(9): 1052-1064.
CHE Chi-dong, CHEN Rui-shi. Structure-borne sound attenuation in a multi-corner structure with attached blocking masses[J]. Jounal of Ship Mechanics, 2010, 14(9): 1052-1064.
[5]黄修长，徐时吟，章振华，等．利用波动法研究曲梁结构中的波形转换和能量传递[J].振动与冲击,2013,31(8)：38-46．
HUANG Xiu-chang, XU Shi-yin, ZHANG Zheng-hua, et al. Application of wave approach in wave mode conversion and energy transmission of curved beams [J].Journal of Vibration and Shock,2013,31(8)：38-46．
[6] Kessissoglou N J. Power transmission in L-shaped plates including flexural and in-plane vibration[J]. The Journal of the Acoustical Society of America, 2004, 115(3): 1157-1169.
[7] Liu C C, Li F M, Liang T W, et al. The wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges[J]. Acta Mechanica Sinica, 2011, 27(5): 785-795.
[8] Liu C C, Li F, Huang W. Active vibration control of finite L-shaped beam with travelling wave approach[J]. Acta Mechanica Solida Sinica, 2010, 23(5): 377-385.
[9] Liu C C, Li F M, Fang B, et al. Active control of power flow transmission in finite connected plate[J]. Journal of Sound and Vibration, 2010, 329(20): 4124-4135.
[10] 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.
ZHAO Zhi-mei, SHENG Mei-ping. Effect of driving force characteristics on the power flow of L-shaped plate[J]. Acta Armamentarii.2013,34(8):986-993.
[11] 薛开, 王久法, 李秋红, 等. 中厚矩形板的振动功率流特性分析[J]. 振动与冲击, 2013,32(21):78-181.
XUE Kai, WANG Jiu-fa, LI Qiu-hong, et al. Vibration power flow analysis of moderately thick rectangular plates[J].Journal of Vibration and Shock,2013,32(21):78-181.
[12] 焦映厚, 侯守武, 陈照波, 等. 采用行波法研究有限尺寸加肋L型板结构的振动特性[J]. 振动工程学报, 2013,26(6)：871-878.
JIAO Ying-hou, HOU Shou-wu, CHEN Zhao-bo, et al. Research on vibration properties of finite rib-stiffened L-shaped plate using wave method[J].Journal of Vibration Engineering, 2013,26(6)：871-878.