| 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，小转动量等的限制，对大多数问题可以通过１步加载直接求解。 |
| 关键词: 曲壳 有限变形 有限转动 数值算列 |
| DOI： |
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| 基金项目:国家自然科学基金 |
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| 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. |
| Key words: finite element,finite deformation,finite rotation,summation rule |
