冲击荷载下一端简支一端固支高桥墩的动力屈曲

考虑剪切变形和大位移的影响，建立一端简支一端固支高桥墩在冲击荷载作用下的非线性动力学基本方程式；通过位移形函数假设，采用伽辽金积分方法得到了时间变率的动力学控制方程；利用四阶Runge-Kutta法进行数值求解，得到冲击荷载作用下高桥墩的临界荷载、位移响应曲线以及各种荷载和几何参数对临界荷载的影响规律。通过数值算例比较了三角形冲击荷载和矩形冲击荷载作用下的荷载-位移幅值响应曲线；给出了矩形冲击荷载作用下，不同峰值的位移响应曲线、临界荷载随高桥墩柔度的变化曲线、不同冲击持续时间对临界荷载的影响

Dynamic buckling of a high pier with one end simply supported and other end fixed under impulse loads

Considering the influence of transverse shear deformation and large displacement,the basic non-linear dynamic equations of a high pier with one end simply supported and the other fixed under impulse loads were established.By supposing the displacement shape function and applying Galerkin method,the dynamic motion equations about time were gained.By using the 4-step Runge-Kutta method,the dynamic motion equations were solved,the critical loads and displacement response curves were obtained,and the influence of various kinds of loads and geometry parameters of the high pier on the critical loads was analyzed.The load-displacement curves under triangle impulse loads were compared with those under rectangle impulse loads.The displacement response curves with different peaks under rectangle impulse loads and the critical loads versus the flexibility of the pier curves under rectangle impulse loads were given.The influence of the different sustained time of rectangle impulse loads on the critical loads was analyzed.