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曲壳有限变形研究之二:有限转动理论和数值算例
Study on Finite Deformation of Curved Shells (Ⅱ):Finite Rotation Theory and Numerical Examples
【摘要】 阐明了有限转动的特点和叠加规律,在此基础上推导了转轴的变分规律并具体应用于文《曲壳有限变形研究之一:理论及有限元列式》(见:詹福良,李明瑞.中国农业大学学报,1998,3(6):28~33)。算例表明:本文列式具有明显的平方收敛效率,并且计算结果与加载步长无关,在牛顿极限加载步长之内,由于不受小加载步长、小转动增量等的限制,对大多数问题都可以通过1步加载直接求解。
【Abstract】 Based on the explanation of the property and summation rule of finite rotation,the corresponding formulae of the variation of the axis of rotation is deduced. Numerical examples show that it is valid and posses quadratic convergence ratio. The computed results are independent of loading steps. Being free from constraints of small loading steps, small rotation increments etc, within the limit of Newton extreme increametal loading, the results of nonlinear problems can be obtained by using only one loading step.
【关键词】 有限元;
有限变形;
有限转动;
叠加规律;
【Key words】 finite element; finite deformation; finite rotation; summation rule;
【Key words】 finite element; finite deformation; finite rotation; summation rule;
【基金】 国家自然科学基金
- 【文献出处】 中国农业大学学报 ,JOURNAL OF CHINA AGRICULTURAL UNIVERSITY , 编辑部邮箱 ,1998年06期
- 【分类号】O343
- 【被引频次】1
- 【下载频次】103