采用力法和遗传算法的结构非线性分析

Nonlinear analysis of truss structures using force method and genetic algorithm

考虑结构的材料非线性,采用力法、能量原理和遗传算法对结构进行了非线性分析。首先给出了基于力法和能量原理的线性分析问题的方程,推倒了结构的余能,并采用遗传算法使结构的能量达到最小的方法对结构进行分析。在此基础上,考虑结构的材料非线性,利用力法和遗传算法进行分析。最后用该方法对不同桁架结构进行了分析,其结果与运用Castigliano方法所得结果一致,证明采用力法和遗传算法对结构进行非线性分析是准确有效的。

Based on material nonlinearity, a nonlinear analysis of truss structures is conducted using force method, energy principles and genetic algorithm. In this study, linear equations are formulated based on force method and energy principles. Excess energy of truss structures is then derived from the formulation. In addition, the truss structure is modeled using genetic algorithm to minimize its energy. The case study of truss analysis shows that the results obtained are similar as the results from Castigliano method. Therefore, it concludes that the nonlinear analysis of truss structure using force method and genetic algorithm is accurate and efficient.