当前刚度系数在前屈曲分析中的应用  

Application of Current Stiffness Parameter in Pre-buckling Analysis

作　　者：程再玲[1] 韩承双[2] 盛宏玉[3] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011 [2]安庆师范学院计算机与信息学院,安徽安庆246011 [3]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《河北工业大学学报》2006年第1期112-116,共5页Journal of Hebei University of Technology

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.Nonlinear problems in finite element analysis are virtually the solution of nonlinear algebraic equations. The current stiffness parameter based on the incremental method has characteristic tending to zero, namely it will monotonously converges to zero along with load near to critical point. So, it can be used to determine the step of load increment, by this characteristic, and to determine the critical load through Lagrange interpolation on current stiffness parameter based on the information of solution point ofpre-buckling analysis. Finally, numerical examples are given to validate the effectiveness of the algorithm.

关 键 词：有限元 当前刚度系数 临界载荷 

分 类 号：O342[理学—固体力学]