冲击荷载下一端简支一端固支高桥墩的动力屈曲

PDF(1063 KB)

振动与冲击 ›› 2012, Vol. 31 ›› Issue (2) : 72-75.

论文

冲击荷载下一端简支一端固支高桥墩的动力屈曲

周慧; 李礼; 罗松南

作者信息 +

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

Zhou Hui; Li Li ; Luo Song-nan

Author information +

文章历史 +

摘要

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

Abstract

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 are established. By supposing the displacement shape function and applying the Galerkin method, the dynamic motion equations about time are gained. By using the Four steps Runge-Kutta method, the dynamic motion equations are resolved, the critical loads and displacement response curves are obtained, and the influence of the vary kinds of loads and the geometry parameters of high pier on the critical loads are analyzed. The loads-displacement curves under triangle impulse loads are compared with under rectangle impulse loads. The displacement response curves under impulse loads with different peak and the softness- critical loads curves under rectangle impulse loads are given. The influence of the different persist time of rectangle impulse loads on the critical loads is analyzed.

导出引用

周慧; 李礼; 罗松南. 冲击荷载下一端简支一端固支高桥墩的动力屈曲[J]. 振动与冲击, 2012, 31(2): 72-75

Zhou Hui; Li Li;Luo Song-nan. Dynamic buckling of high pier with one end simply supported and other end fixed under impulse loads[J]. Journal of Vibration and Shock, 2012, 31(2): 72-75