论文部分内容阅读
针对移动荷载作用下周期支承Timoshenko梁的具体结构,将其任一梁单元分解为一个支撑单元和两个非支撑单元。在轨道结构动力响应的周期解析解的基础上,采用传递矩阵法,应用Laplace变换等理论,推导周期支承Timoshenko梁的传递矩阵。将激振点的状态变量乘以一系列梁单元的传递矩阵,推得拾振点的传递函数,进而给出移动荷载作用下周期支承Timoshenko梁上任一点的动力响应解。
Aiming at the concrete structure of Timoshenko beam periodically supported by moving load, any beam element is decomposed into one supporting element and two non-supporting elements. Based on the periodic analytical solution of dynamic response of orbital structure, the transfer matrix method and Laplace transform theory are used to derive the transfer matrix of periodically supported Timoshenko beam. Multiplying the state variables of the excitation points by the transfer matrixes of a series of beam elements, the transfer function of the point of vibration pick-up is deduced, and then the dynamic response of the Timoshenko beam at any point under the moving loads is given.