摘要
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。
To the actual structure of periodic supported Timoshenko beam under moving load, any single beam cell is divided into one supporting cell and two non-supporting cells. Based on the periodic analytical solution to the dynamic response of railway structure, by adopting state variable method, transfer matrix method, Laplace transformation and so on, firstly, the transfer matrix of a beam cell is wrote. Secondly, the transfer function of receiver point is gotten by the vibration point multiplied by the transfer matrix of a series beam cell. And finally the dynamic solution of any point on periodic supported Timoshenko beam under moving load is given out.
出处
《中国铁道科学》
EI
CAS
CSCD
北大核心
2006年第1期38-42,共5页
China Railway Science
基金
科技部国际合作司中比双边合作项目(BIL98/09)
