| 王震,赵阳.膜材碰撞接触分析的向量式有限元法[J].计算力学学报,2014,31(3):378~383 |
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| 膜材碰撞接触分析的向量式有限元法 |
| Vector Form Intrinsic Finite Element method for collision-contact analysis of membrane material |
| 投稿时间：2012-11-24 修订日期：2013-02-06 |
| DOI：10.7511/jslx201403016 |
| 中文关键词: 膜材 向量式有限元 膜单元 碰撞接触 罚函数法 碰撞检测 碰撞响应 |
| 英文关键词:membrane material Vector Form Intrinsic Finite Element membrane element collision-contact penalty function method collision detection collision response |
| 基金项目:国家自然科学基金（51378459）；浙江省重点科技创新团队（2010R50034）资助项目. |
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| 中文摘要: |
| 向量式有限元是以向量力学理论为分析基础并基于点值描述来获得结构体系行为的新型分析方法。在简要介绍向量式有限元三角形膜单元基本理论的基础上，针对膜材与刚体、膜材与膜材两类碰撞接触问题，提出了碰撞检测和碰撞响应的处理方法。通过膜材质点与三角形网格面之间的单向碰撞检测方法来处理膜结构的碰撞检测问题；结合罚函数法和中央差分位移式，提出基于中央差分式的罚接触力响应方法，同时赋予罚参数的选取规则，以处理膜结构的碰撞响应问题。在此基础上编制了向量式有限元膜单元的碰撞接触分析程序，并通过算例分析验证了理论推导和编制程序的可靠性和计算稳定性，体现出向量式有限元方法进行膜材碰撞接触分析的优势。 |
| 英文摘要: |
| The Vector Form Intrinsic Finite Element (VFIFE) is a new method for the analysis of structural behavior based on the vector mechanics theory and point value description.Following a brief introduction on the basic theory for the VFIFE triangular membrane element,this paper presents the approaches dealing with collision detection and collision response,which are applicable to collision-contact problems of both membrane material-to-rigid body and membrane material-to-membrane material.A one-way collision detection method between the membrane particle and triangular mesh surface is proposed for the collision detection problem.Combining with the penalty function method and the formula of central differential displacement,a penalty contact force response method based on the central differential formula is presented for the analysis of collision response,and the rule for the determination of penalty parameter is also provided.A computer program with collision-contact analysis module of membrane element is then developed,and the reliability and computational stability of the derived theory and the developed program are verified through numerical examples.It is shown that the VFIFE is advantageous in the co-llision-contact analysis of membrane materials. |
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