【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.更多还原

【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.更多还原