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论文:2013,Vol:31,Issue(6):931-934 |
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引用本文： |
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秦于越, 邓子辰, 胡伟鹏. 冲击荷载作用下中心对称薄圆板振动的多辛分析[J]. 西北工业大学 |
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Qin Yuyue, Deng Zichen, Hu Weipeng. Multi-Symplectic Analysis of Vibration of Centrosymmetric Thin Circular Plate under Impact Load[J]. Northwestern polytechnical university |
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| 冲击荷载作用下中心对称薄圆板振动的多辛分析 |
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| 秦于越1, 邓子辰1,2, 胡伟鹏1 |
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1. 西北工业大学 力学与土木建筑学院, 陕西 西安 710072;
2. 大连理工大学 工业装备结构分析国家重点实验室, 辽宁 大连 116023 |
| 摘要: |
| 基于Bridges建立的多辛理论,构造了中心对称薄圆板振动方程的多辛对称形式及其多种局部守恒律,针对振动方程的多辛形式,采用Euler Box差分离散方法构造其多辛格式,利用计算机模拟,研究了冲击荷载作用下中心对称薄圆板的振动问题,并在模拟过程中重点关注多辛算法是否精确保持振动系统的局部几何性质,该研究结果为薄板振动问题提供了新的数值研究途径。 |
| 关键词:
哈密尔顿
多辛
薄圆板
冲击荷载
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| Multi-Symplectic Analysis of Vibration of Centrosymmetric Thin Circular Plate under Impact Load |
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| Qin Yuyue1, Deng Zichen1,2, Hu Weipeng1 |
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1. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China;
2. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, China |
| Abstract: |
| To preserve the local geometric properties of a dynamic system, one of the important factors for determi-ning its dynamic response, we analyze the vibration of the centrosymmetric thin circular plate under impact load in the Hamiltonian space.Section 1 of the full paper derived Eq.(4) as the multi-symplectic symmetric form of the centrosymmetric thin circular plate and Eqs.(5), (6) and (7) for its local conservation laws.Section 2 uses the Euler Box difference discretization method to construct Eq.(8 ) as the multi-symplectic difference discretization scheme of the multi-symplectic symmetric form.Section 3 simulates the vibration of the centrosymmetric thin circular plate under impact load and fixed boundary conditions to analyze its dynamic response.The simulation re-sults, given in Figs.1 and 2, show preliminarily that our multi-symlectic algorithm can accurately keep for a long time the local geometric properties of the centrosymmetric thin circular plate under impact load, indicating that the dynamic response analysis obtained with the multi-symlectic algorithm is reliable. |
| Key words:
Hamiltonians
algorithms
dynamic response
multi-symplectic symmetric form
centrosymmetric thin circular plate
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| 收稿日期: 2013-04-16
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(11172239、11372252和11372253);教育部博士点基金(20126102110023);大连理工大学工业装备结构分析国家重点实验室开放基金(GZ0802)资助 |
| 通讯作者:
Email： |
| 作者简介: 秦于越(1980-),女,西北工业大学博士生,主要从事板壳问题的保结构算法研究。
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参考文献: |
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相关文献: |
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1．胡伟鹏, 张宇, 邓子辰.微扰Landau-Ginzburg-Higgs方程的保结构数值分析[J]. 西北工业大学, 2012,30(6): 957-960 |
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