| 冲击荷载下两端简支高桥墩的动力屈曲 |
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| 引用本文： | 罗松南,李礼,周慧,宋君晗.冲击荷载下两端简支高桥墩的动力屈曲[J].振动与冲击,2009,28(12):1-3. |
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| 作者姓名： | 罗松南 李礼 周慧 宋君晗 |
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| 作者单位： | 湖南大学,力学与航空航天学院,长沙,410082 |
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| 摘 要： | 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。
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| 关 键 词： | 高桥墩 冲击荷载 位移响应 动力屈曲 |
| 收稿时间： | 2008-11-17 |
| 修稿时间： | 2009-2-10 |
Dynamic buckling of high pier with two ends simply supported under impulse loads |
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| LUO Song-nan,LI Li,ZHOU Hui,SONG Jun-han.Dynamic buckling of high pier with two ends simply supported under impulse loads[J].Journal of Vibration and Shock,2009,28(12):1-3. |
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| Authors: | LUO Song-nan LI Li ZHOU Hui SONG Jun-han |
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| Abstract: | 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. |
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| Keywords: | high pier impulse load displacement response dynamic buckling |
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