CAJ | 학술논문

考虑剪切变形和大位移的影响,建立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.
고필전절변형화대위이적영향,건립고교돈재충격하재작용하적비선성동역학기본방정식;통과위이형함수가설,채용가료금적분방법득도료시간변솔적동역학공제방정;이용사계Runge-Kutta법진행수치구해,득도충격하재작용하고교돈적림계하재、위이향응곡선이급각충하재화궤하삼수대림계하재적영향규률.통과수치산례비교료삼각형충격하재화구형충격하재작용하적하재-위이폭치향응곡선;급출료구형충격하재작용하,불동봉치적위이향응곡선、림계하재수고교돈유도적변화곡선、불동충격지속시간대림계하재적영향.
Considering the influences of transverse shear deformation and large displacement,the basic non-linear dynamic equations of high pier under impulse loads were established. By supposing the displacement shape functions and applying the Galerkin method,the dynamical equations with respect to time were gained. By using the four steps Runge-Kutta method,the dynamical equations were resolved,the critical loads and displacement response curves were obtained,and the influences of various kinds of loads and geometry parameters of high pier on the critical load were analyzed. The load-displacement curves under triangular impulse loads were compared with those under rectangular impulse loads. The displacement response curves under impulse loads with different peak values and the compliance-critical load curves under rectangular impulse loads were given. The influence of different persisting time of rectangular impulse loads on critical load was analyzed.