| 扁锥面单层网壳的非线性动力学特性 |
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| 引用本文： | 王新志,梁从兴,栗蕾,韩明君,丁雪兴.扁锥面单层网壳的非线性动力学特性[J].动力学与控制学报,2004,2(3):14-17. |
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| 作者姓名： | 王新志 梁从兴 栗蕾 韩明君 丁雪兴 |
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| 作者单位： | 兰州理工大学理学院,兰州,730050;兰州理工大学理学院,兰州,730050;兰州理工大学理学院,兰州,730050;兰州理工大学理学院,兰州,730050;兰州理工大学理学院,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金资助项目(ZS021-A25-007-Z)~~ |
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| 摘 要： | 用拟壳法建立了正三角形网格三向扁锥面单层网壳的轴对称非线性动力学基本方程．通过分离变量函数法，用Galerkin法得到了一个含二次、三次的非线性微分方程．为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，给出了单层扁锥面网壳非线性自由振动微分方程的准确解．通过求Melnikov函数，给出了发生混沌运动的临界条件．数字仿真证实了混沌运动的存在．
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| 关 键 词： | 单层网壳 分离变量 临界条件 混沌 |
| 收稿时间： | 8/1/2004 12:00:00 AM |
| 修稿时间： | 2004年8月1日 |
Non-linear dynamic charactersistics of single-layer shallow conical lattice shells |
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| Wang Xinzhi,Liang Congxing,Li Lei,Han Mingjun and Ding Xuexing.Non-linear dynamic charactersistics of single-layer shallow conical lattice shells[J].Journal of Dynamics and Control,2004,2(3):14-17. |
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| Authors: | Wang Xinzhi Liang Congxing Li Lei Han Mingjun and Ding Xuexing |
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| Abstract: | By using the simulated shells method, this paper established the axisymmetrical non-linear dynamic equations for three-dimensional single-layer shallow conical lattice shells with equilateral triangle mesh. Through the separating variables function method, a quadric and cubic non-linear differential equation was obtained by using the Galerkin method. In order to study chaos movement,a kind of non-linear free vibration differential equation was solved, the accurate solution of the single-layer shallow conical cattice shells was obtained, and the critical condition was obtained by using the Melnikov function. Moreover, the numerical-graphic method also confirmed the existence of chaos. |
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| Keywords: | single-layer lattice shells separating variables critical condition chaos |
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