激励特性对 L 型板振动功率流的影响

doi:10.3969/j.issn.1000-1093.2013.08.011

摘要/Abstract

摘要：

基于波导方法建立了L 型板的耦合振动模型。分析了激励力与被激励板的夹角对结构振动功率流的影响,获得了L 型板弯曲振动功率流与面内振动功率流随激励角度的变化规律。进而建立了力和力矩混合激励下L 型板的耦合振动模型,分析了力矩对L 型板振动功率流随激励角度变化规律的影响。研究表明:结构的面内振动功率流随着频率的升高而增大,并逐渐接近于弯曲振动功率流;小力矩激励下,间接受激励板中的低频弯曲波主要来源于相邻板中的弯曲波透射,随激励角度的减小而减少,而高频弯曲波主要由面内波转换而来,随激励角度的减小而增大;大力矩激励下,力矩对L 型板的振动功率流起主导作用;力矩越大,结构的振动功率流越大。

关键词: 振动与波, 耦合振动, L 型板, 功率流, 激励特性, 波导法

Abstract:

A theoretical model of L-shaped plate is established based on the waveguide method. The effect of an included angle between driving force and L-shaped plate on its power flow characteristics is analyzed. Both force and moment are applied to investigate how the moment affects the correlationship between the excitation angle and the system's power flow. The research shows that the in-plane vibrational power flows in the system increase as frequency increases and get close to the power flow of the flexural wave gradually. If the moment applied is very small, the flexural wave in the indirectly excited plate is mainly decided by the transmission of flexural wave from the adjacent plate at low frequencies and reduces with the decrease in the exciting angle of force, yet the high frequency flexural wave is mainly transited from the in-plane wave and increases when the excitation angle decreases. However, if the moment applied is large, all vibrational power flows in the L-shaped plate depend principally on the moment and increase with it.

Key words: vibration and wave, coupled vibration, L-shaped plate, power flow, driving force characteristics, waveguide method

中图分类号:

TB53

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.

参考文献

[1] 谢祚水,王自力,吴剑国. 潜艇结构分析[M]. 武汉: 华中科技大学出版社,2004. XIE Zuo-shui, WANG Zi-li, WU Jian-guo. Analysis of submarine structures[ M]. Wuhan: Huazhong University of Science and Technology Press, 2004. (in Chinese) [2] 阿·斯·尼基福罗夫. 船体结构声学设计[M]. 谢信,王珂,译.北京: 国防工业出版社,1998. HLkforov A C. Acoustic design of hull structure[M]. XIE Xin,WANG Ke, translated. Beijing: National Defense Industry Press,1998. (in Chinese) [3] Cuschieri J M. Structural power-flow analysis using a mobility approach of a L-shaped plate[J]. Journal of the Acoustical Society of America, 1990, 87(3): 1159 -1165. [4] McCollum M D, Cuschieri J M. Bending and in-plane wave transmission in thick connected plates using statistical energy analysis[J]. Journal of the Acoustical Society of America, 1990, 88(3):1480 -1485. [5] Cuschieri J M, McCollum M D. In-plane and out-of-plane waves' power transmission through an L-plate junction using the mobility power flow approach [ J]. Journal of the Acoustical Society of America, 1996, 100(2): 857 -870. [6] Kessissoglou N J. Power transmission in L-shaped plates including flexural and in-plane vibration[J]. Journal of the Acoustical Society of America, 2004, 115(3): 1157 -1169. [7] Farag N H, Pan J. On the free and forced vibration of single and coupled rectangular plates[J]. Journal of the Acoustical Society of America, 1998, 104(1): 204 -215. [8] Skeena M B, Kessissoglou N J. An investigation of transmission coefficients for finite and semi-infinite coupled plate structures[J]. Journal of the Acoustical Society of America, 2007, 122(2): 814 -822 [9] Lin T R, Tan A C C, Yan C, et al. Vibration of L-shaped plates under a deterministic force or moment excitation: a case of statistical energy analysis application[J]. Journal of Sound and Vibra- tion, 2011, 330(20): 4780 -4797. [10] 王宏伟,赵德有. 用解析法研究L 型加筋板的自由阻尼振动[J]. 振动与冲击,2001,20(2): 35 -38. WANG Hong-wei, ZHAO De-you. Study on free damped vibration of L-shaped plate with reinforced ribs[J]. Journal of Vibration and Shock, 2001, 20(2): 35 -38. (in Chinese) [11] 车驰东,陈端石. 成任意角度连接的两块平板转角处阻振质量对平面弯曲波传递的影响分析[J]. 声学学报,2007,32(3): 282 -288. CHE Chi-dong, CHEN Duan-shi. Analysis of the effect of blocking mass at corner interface of two plates at arbitrary angles on transmission of plane bending waves[J]. Acta Acustica, 2007,32(3): 282 -288. (in Chinese) [12] 姚熊亮,计方,钱德进, 等. 典型船舶结构中振动波传递特性研究[J]. 振动与冲击,2009,28(8): 20 -24. YAO Xiong-liang, JI Fang, QIAN De-jin, et al. Characteristics of vibration wave propagation in typical hull structure[J]. Journal of Vibration and Shock, 2009,28(8): 20 - 24. (in Chinese) [13] 游进,孟光,李鸿光. L 型耦合板相关激励下高频随机能量流分析[J]. 振动工程学报,2010,23(1): 60 -63. YOU Jin, MENG Guang, LI Hong-guang. High frequency random energy flow analysis of L-shaped coupled plates under coherent excitations[J]. Journal of Vibration Engineering, 2010,23(1): 60 -63. (in Chinese)