| 当前刚度系数在前屈曲分析中的应用 |
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| 引用本文： | 程再玲,韩承双,盛宏玉. 当前刚度系数在前屈曲分析中的应用[J]. 河北工业大学学报, 2006, 35(1): 112-116 |
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| 作者姓名： | 程再玲 韩承双 盛宏玉 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246011;安庆师范学院,计算机与信息学院,安徽,安庆,246011;合肥工业大学,土木建筑工程学院,安徽,合肥,230009 |
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| 摘 要： | 在有限元分析中,非线性问题最终都归结为求解非线性代数方程组.基于增量法的当前刚度系数,具有趋零特性.即随着载荷向临界点靠近,当前刚度系数单调收敛于零.利用这一特性,可以用以确定载荷增量步长,并利用前屈曲分析各解点上当前刚度系数值构造拉格朗日插值,用以确定临界载荷.最后,通过算例验证了本算法的有效性.
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| 关 键 词： | 有限元 当前刚度系数 临界载荷 |
| 文章编号： | 1007-2373(2006)01-0112-05 |
| 修稿时间： | 2005-06-04 |
Application of Current Stiffness Parameter in Pre-buckling Analysis |
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| CHENG Zai-ling,HAN Cheng-shuang,SHENG Hong-yu. Application of Current Stiffness Parameter in Pre-buckling Analysis[J]. Journal of Hebei University of Technology, 2006, 35(1): 112-116 |
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| Authors: | CHENG Zai-ling HAN Cheng-shuang SHENG Hong-yu |
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| Abstract: | Nonlinear problems in finite element analysis are virtually the solution of nonlinear algebraic equations. Thecurrent stiffness parameter based on the incremental method has characteristic tending to zero, namely it will monotonouslyconverges to zero along with load near to critical point. So, it can be used to determine the step of load increment, bythis characteristic, and to determine the critical load through Lagrange interpolation on current stiffness parameter basedon the information of solution point of pre-buckling analysis. Finally, numerical examples are given to validate the ef-fectiveness of the algorithm. |
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| Keywords: | finite element current stiffness parameter critical load |
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