框架结构瞬态波动响应及自振频率的回传射线矩阵法分析

摘要

Based on the method of reverberation-ray matrix,the reverberation-ray matrix of a of frame was established in accordance with the force balance,the displacement compatibility conditions of joints and the relationship between displacements at two ends of each element.On this basis,the characteristics of elastic wave propagation in the frame were analysed.The basic waveform characteristics of the incident wave,reflected wave and transmitted wave were discussed.The natural vibration frequency of the frame was solved and compared with the result by the finite element method.It is shown that both results are very close,and the effectiveness of the method was verified.%基于回传射线矩阵法，通过节点的力平衡和位移协调条件及局部坐标系下单元两端位移之间的关系，建立方波脉冲激振力作用下铰接 T 形框架的回传射线矩阵。在此基础上分析了弹性波在框架中的传播特征，探讨了单元交界点处的反射波、入射波与透射波的波形特征。以回传射线矩阵法为基础，求解此框架的自振频率，并与有限元法求出的结果进行比较，结果表明，二者之间的结果非常接近，以此证明了该方法的有效性。