| 几何缺陷对拱结构动力稳定性的影响 |
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| 引用本文： | 易壮鹏,赵跃宇,朱克兆,王连华.几何缺陷对拱结构动力稳定性的影响[J].地震工程与工程振动,2009,29(2). |
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| 作者姓名： | 易壮鹏 赵跃宇 朱克兆 王连华 |
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| 作者单位： | 1. 长沙理工大学,土木与建筑学院,湖南,长沙,410114
2. 湖南大学,土木工程学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金项目(10502020) |
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| 摘 要： | 分析了外激励下几何缺陷对拱结构动力稳定性的影响。推导了拱结构边界确定而结构本身节点坐标偏差随机且指数相关时的条件相关矩阵，分解得到几何缺陷的分布方式和大小。从非线性运动方程出发，分别得出了周期荷载作用下非线性刚度矩阵可线性化，非周期荷载作用下同时考虑几何、材料非线性的Lyapunov指数计算方法。最后以一圆弧拱为例分别对周期荷载、阶跃荷载、脉冲荷载及地震荷载作用下几何缺陷的影响进行了数值分析。结果表明周期激励作用下拱结构存在动力失稳频域；在不同分布方式几何缺陷中动力稳定性对与屈曲模态相似的缺陷最为敏感。
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| 关 键 词： | 几何缺陷 Lyapunov指数 拱结构 动力稳定性能 |
The effects of geometrical imperfections on dynamic stability of arch structures |
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| YI Zhuangpeng,ZHAO Yueyu,ZHU Kezhao,WANG lianhua.The effects of geometrical imperfections on dynamic stability of arch structures[J].Earthquake Engineering and Engineering Vibration,2009,29(2). |
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| Authors: | YI Zhuangpeng ZHAO Yueyu ZHU Kezhao WANG lianhua |
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| Institution: | 1.School of Civil Engineering and Architecture;Changsha University of Science and Technology;Changsha 410114;China;2.College of Civil Engineering;Hunan University;Changsha 410082;China |
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| Abstract: | This paper is concerned with the effects of geometrical imperfections on the dynamic stability of arch structure under external load.The conditional covariance matrix of stochastic arch structure,whose node coordinate deviations are exponentially correlative,is determined by deterministic boundary conditions,and through the decomposition of the matrix the distribution shapes and amplitude of geometrical imperfections are obtained.From the nonlinear motion equation,the top Lyapunov exponents for periodic loa... |
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| Keywords: | geometrical imperfection Lyapunov exponent arch structure dynamic stability |
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