【摘要】 具有多折点与拉压不同模量的应力应变关系,尤其是具有强化特点(应力应变关系曲线成凹状)本构关系的结构非线性分析是计算中算法处理上的特殊问题,基于数学规划法构造了问题的求解算法,给出了问题对应的变分泛函与相应的控制方程,在此基础上给出问题分析的有限元求解算法列式,算法具有精度高与收敛特性好的特点。给出的数值算例结果证实了算法的正确与有效性。更多还原

【Abstract】 A programming algorithm for nonlinear analysis of truss structures with multi-fold point constitutive model is proposed in the paper. It is well known that the treatment of the non-convex form of hardening strain-stress relation is a difficult problem. The variational functional and control equation for the structure are derived. Based on the mathematical programming algorithm the finite element formulation is made for the solution of the truss structures. The algorithm has good accuracy and quick convergence . The validity and effecienty of the proposed algorithm is illustrated throuhg numerical examples.更多还原