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通过有限质点法(FPM)对空间桁架进行几何和材料非线性以及构件断裂在内的后屈曲分析。由于有限质点法可将空间桁架模拟为有限的质点,而每个质点都被认为在动态平衡之内,静态和动态分析可以在分析步骤上统一。在有限质点法(FPM)中将质点彼此分离更利于构件断裂的模拟。用部分内部作用力编写的虚拟运动的过程可精确计算没有迭代修正和刚度矩阵计算的几何非线性。通过描绘一个完整的包括弹性和非弹性屈曲、屈服、后屈曲、卸荷和重复荷载在内的应力-应变关系来说明材料非线性。有限质点法(FPM)的断裂指标和断裂模型可以模拟构件断裂。使用当前的方法可在两个传统的空间桁架的后屈曲范围内观察到多次跳跃和动态断裂的现象。通过比较数值模拟结果和节能方面的研究,对相应结果进行了验证。
Postbuckling Analysis of Space Truss by Finite Element Method (FPM) for Geometric and Material Nonlinearities and Fracture of Components. Because finite element method can simulate space truss as finite particle, and each particle is considered as dynamic equilibrium, static and dynamic analysis can be unified in the analysis step. The separation of particles from each other in FPM facilitates the simulation of component fracture. The process of virtual motion written with some internal force can accurately calculate the geometric nonlinearity without iterative correction and stiffness matrix calculation. The material nonlinearity is illustrated by depicting a complete stress-strain relationship including elastic and inelastic buckling, yielding, post-buckling, unloading and repeated loading. The finite element method (FPM) fracture index and fracture model can simulate the fracture of the member. Using the current method, multiple hops and dynamic fracture can be observed in the post-buckling of two traditional space trusses. By comparing numerical simulation results and energy saving studies, the corresponding results were verified.