梁结构耦合点的振动功率传输

讨论了多根梁耦合点的振动功率传输特性．耦合点采用刚体质量来模拟，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，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合角度的函数．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．

Vibratory Power Transmission Through Beam Junctions

A generic beam junction was considered which consists of arbitrary numbers of beams coupled, including modeling of the junction as a rigid joint with mass. Based on the equilibrium and continuity condition of the junction and wave equations, the vibratory power transmission and reflection coefficients of structural junction of coupled beams were obtained. The vibratory power transmission and reflection coefficients are determined as the function of radian frequency and coupled angle. This analysis was illustrated by application to a two semi-infinite beams coupled at arbitrary angle. The dependence of couple angle, radian frequency and the mass of the junction on transmission and reflection coefficients were 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.