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使用区间迭代法跟踪结构后屈曲平衡路径。区间迭代法可以在接近临界载荷处自动解出屈曲前和屈曲后的两个可能平衡位形,从而避免了由于刚度矩阵奇异而使迭代停止的数值困难。一些典型例题的数值解,证明了非线性区间迭代法可以穿过极值点,并能追踪到极值点之后的解曲线,而且对所谓“位移回弹”(Snap-back)问题,区间迭代法仍然是有效的。
Interval iteration method is used to track post-structural buckling balance path. The interval iteration method can automatically solve two possible equilibrium configurations before and after buckling near the critical load, so as to avoid the numerical difficulty of stopping the iteration due to the singularity of the stiffness matrix. The numerical solutions of some typical examples prove that the nonlinear interval iteration method can cross the extremum point and can trace the solution curve after the extremum point. And for the so-called “snap-back” problem, the interval iteration The law is still valid.