【摘要】 考虑大变形的影响,建立高桥墩在地震波冲击下引起的地基上下震动时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;对时间变率的非线性微分方程进行数值求解,给出了同一地震波不同强度下高桥墩的位移响应曲线以及从产生横向振动到失稳的全过程;得到了地震波冲击时高桥墩失稳的临界地震加速度和失稳时刻。通过数值算例比较了地震波幅值、高桥墩柔度以及桥面质量大小对位移幅值响应曲线、临界地震加速度和失稳时刻的影响。更多还原

【Abstract】 Considering the influence of large deformation,the non-linear dynamic equations of high pier under perpendicular foundation motion induced by earthquake were established.By supposing the displacement shape function and applying the Galerkin method,the dynamic equations with respect to time were derived.By numerical calculation,the displacement response curves of the high pier under perpendicular foundation motion induced by earthquake with different magnitudes were obtained and the overall process from the beginning of transverse vibration to the entering into unstable state of the high pier were presented.The critical seismic acceleration and the moment of instability occurence were acquired.The influence of seismic peak,slenderness ratio and weight of the bridge on displacement response,critical seismic acceleration and instability occurence moment were analyzed.更多还原