| 逐步积分法求解复阻尼结构运动方程的稳定性问题 |
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| 引用本文： | 朱敏,朱镜清.逐步积分法求解复阻尼结构运动方程的稳定性问题[J].地震工程与工程振动,2001,21(4):59-62. |
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| 作者姓名： | 朱敏 朱镜清 |
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| 作者单位： | 中国地震局工程力学研究所，哈尔滨150080 |
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| 基金项目： | 地震科学联合基金（101057） |
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| 摘 要： | 平均常加速度法是无条件稳定的，但用它来解复阻尼振动方程时，现了不稳定现象，我们通过理论分析和数值计算结果的比较，探明了这种现象不是由于逐步积分算法本身有不稳定的问题，而是由于复阻尼振动方程解集本身含有不稳定子集的缘故。
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| 关 键 词： | 复阻尼 逐步分法 稳定性 临界稳定周期 发散 结构运动方程 |
Studies on stability of step-by-step methods under complex damping conditions |
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| ZHU Min,ZHU Jing-qing.Studies on stability of step-by-step methods under complex damping conditions[J].Earthquake Engineering and Engineering Vibration,2001,21(4):59-62. |
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| Authors: | ZHU Min ZHU Jing-qing |
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| Abstract: | The constant-average-acceleration method is unconditionally stable. But it is unstable in general when used in complex damping vibration equations. By means of theoretical analysis and through numerical comparison, we found that the unstable numerical solution comes from the diver gent part of the theoretical solution of the equation, not the algorithm itself. The research results also demonstrate that the numerical solution can be practically stable when the period of structures is longer and the duration of exciting forces is shorter. |
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| Keywords: | complex damping step-by-step method stability critical stable period divergence |
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