| 有限变形圆柱壳结构的运动学方程 |
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| 引用本文： | 席丰,杨嘉陵,鹿晓阳. 有限变形圆柱壳结构的运动学方程[J]. 应用基础与工程科学学报, 2000, 8(2): 218-224 |
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| 作者姓名： | 席丰 杨嘉陵 鹿晓阳 |
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| 作者单位： | 1. 山东建筑工程学院计算力学研究所,济南,250014
2. 北京航空航天大学固体力学研究所,北京,100083 |
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| 基金项目： | 国家自然科学基金、山东省自然科学基金资助项目 |
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| 摘 要： | 以有限变形连续体的最小加速度原理为基础，导出了在任意位置受到横向集中动力载荷作用下的闭合圆柱壳的有限变形运动方程，该方程反映了膜力效应和转动惯性效应；推导过程直接、简便、不易出错，同时指出，所得到的控制方程对于描述有限变形的冲击动力学问题是适宜的。
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| 关 键 词： | 有限变形 圆柱壳 壳结构 转动惯性 运动方程 控制方程 冲击动力学 基础 连续体 推导过程 |
| 修稿时间： | 1999-08-02 |
A Finite Deformation Equation of Motion for Cylindrical Shell |
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| XI Feng,YANG Jialing,LU Xiaoyang. A Finite Deformation Equation of Motion for Cylindrical Shell[J]. Journal of Basic Science and Engineering, 2000, 8(2): 218-224 |
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| Authors: | XI Feng YANG Jialing LU Xiaoyang |
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| Affiliation: | XI Feng(Shandong Institute of Architecture and Engineering, Jinan 250014)YANG Jialing(Beijing University of Aeronautics and Astronautics, Beijing 100083)LU Xiaoyang(Shandong Institute of Architecture and Engineering, Jinan 250014) |
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| Abstract: | In this paper, the finite deformation equations of motion for a cylindrical shell, which is subjected to normal concentrated loading at arbitrary position, are derived by using the minimum principle in dynamics of elastic plastic continua at finite deformation, the effects of membrane force and the effects of rotatory inertia are reflected in the equation. It can be shown that the course of educing the equation is direct and straightforward, the error doesn't produce easily. The equations are fitting to represent the impact dynamic problem of finite deformation structure. |
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| Keywords: | equations of motion cylindrical shell minimum principle in dynamics of elastic-plastic continua finite deformation concentrated loads at arbitrary position |
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