| 钱令希,张雄.结构分析中的刚体有限元法[J].计算力学学报,1991,8(1): |
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| 结构分析中的刚体有限元法 |
| Rigid Body Finite Element Method in Structural Analysis |
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| DOI：10.7511/jslx19911001 |
| 中文关键词: 刚体-弹簧模型,刚体有限元,弱解,安定分析,极限分析 |
| 英文关键词:Rigid Bodies-Spring Model, Rigid Body Finite Element, Weak Solution, Shackdown and Limit Analysis, |
| 基金项目:国家自然科学基金 |
| 钱令希 张雄 |
大连理工大学工程力学研究所
(钱令希)
，大连理工大学工程力学研究所(张雄)
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| 摘要点击次数: 1658 |
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| 中文摘要: |
| 本文给出了KAWAI教授的RBSM(刚体-弹簧模型)的数学解释。传统的以位移法为基础的有限元数值解中,其应力精度低于位移精度,而这里的刚体有限元法(RBFEM)给出的应力精度不会低于甚至高于位移精度,此外,RBFEM大大地减小了总刚的半带宽及体积,因而大幅度地降低了计算量。本文用刚体有限元法进行了静力分析、热应力分析、极限分析和安定分析,得到了相当满意的结果。刚体有限元法以其缩减的计算量及提高的应力精度,可以有利于结构分析,特别是非线性问题的数值解。 |
| 英文摘要: |
| Rigid Body Finite Element Method (abbreviated as RBFEM), another method of solving the basic equations of Solid mechanics, is proposed from mathematical view and the mathematical explanations of KAWAI model are given in this paper.RBFEM significantly reduces semi-band widths and volume of global stiffness matrices, so it considerably reduces the computational work.Analyses of linear elasticity and thermal stress problem are presented first in this paper, then shackdown and limit analysis are worked out in combining RBFEM with Thermo-Parameter Method. Slabs with circular hole, square cutout, oblique square opening and slit are analysed respectively and better results are obtained. |
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