梁结构耦合点的振动功率传播

本文详细讨论了多根梁耦合点的振动功率传播特性.耦合点采用刚体质量来模拟.采用波动分析法研究纵向波或弯曲波入射半无限梁结构耦合点的传播.首先根据耦合点的平衡条件和连续条件,得到了波动方程中的幅值.然后建立了波动幅值和振动功率之间的关系,并得到振动功率反射和传播系数.反射和传播系数确定为振动频率和耦台角度的函数.算例计算了二叉梁的反射系数和传播系数,分析了耦合角度和振动频率以及是否计及耦合点质量对反射系数和传播系数的影响,得到了一些有价值的结论,对于振动控制和结构优化设计具有重要的意义.

Vibration Power Transmission Through Multi-beam Junctions

A generic beam junction is considered which consists of an arbitrary numbers of coupledbeams,including a modeling of the junction as a rigid joint with mass.The wave approach is used and the study is limited to the transmission of a longitudinal or flexural wave incident on a junction of beams of semi-infinite extent.First,wave amplitudes are obtained based on the equilibrium and continuity condition of the junction.Second,the complex wave amplitudes are then used to evaluate the wave power and hence the vibration power transmission and reflection coefficients are determined as functions of radian frequency and couple angle.Numerical results of two semi-infinite coupled beams at arbitrary angle are presented and discussed.The dependence of couple angle,radian frequency and the mass of the joint on transmission and reflection coefficients are analyzed.The coefficients that reveal the power distribution in structures will enable one to properly use the correct vibration absorption and control technique by allowing systems to be designed for optimal power transmission.