基于波分析法的L型结构弯&mdash;扭耦合振动研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (24) : 92-98.

论文

基于波分析法的L型结构弯—扭耦合振动研究

沈轻舟，车驰东

作者信息 +

Coupling vibration of bending-torsional waves at an L shaped junction based on wave approach

SHEN Qingzhou，CHE Chidong

Author information +

文章历史 +

摘要

利用波分析法研究了L型转角结构中弯曲波-扭转波的耦合传递规律。在前人研究基础上，提出了新的无量纲系数，将转角平衡方程无量纲化，推导出弯曲波和扭转波在半无限长L型转角处的透射及反射系数，并将该结果应用到有限长转角结构的弯扭耦合振动计算中。通过数值计算分析了弯曲波和扭转波入射条件下转角处结构声能量透射和反射关系，计算表明随着频率上升，总透射能量呈上升趋势，波形转换能量占总能量之比也随之上升。最后，对一L型结构进行了振动测试，并将测试结果与数值计算进行比较，验证了无限结构的透射和反射系数可用于计算有限结构的耦合振动。该研究的结果对船舶声学设计具有指导作用。

Abstract

The attenuation of structure-borne sound coupled with both bending and torsional wave at an L shaped junction was investigated by the wave approach.Several new non-dimensional coefficients were introduced to deduce the transmission and reflection at the semi-infinitive L shaped junction, which was extended to compute the vibration field in structure with finite length.Numerical computation was carried out to investigate energy transmission and reflection efficiencies.The results show that both total energy transmission efficiency and waveform transformation ratios increase with frequency.Furthermore, a simplified experiment was carried out on an L-shaped beam which validates that the vibration fields in finite structures may be computed with transmission and reflection coefficients in infinitive ones.The results from above study are useful to guide the acoustic design for ships.

导出引用

沈轻舟，车驰东. 基于波分析法的L型结构弯—扭耦合振动研究[J]. 振动与冲击, 2018, 37(24): 92-98

SHEN Qingzhou，CHE Chidong. Coupling vibration of bending-torsional waves at an L shaped junction based on wave approach[J]. Journal of Vibration and Shock, 2018, 37(24): 92-98

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