Nonlinear analysis of truss structures using force method and genetic algorithm
Daming Zhang
Abstract
Daming Zhang
Abstract
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.
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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.
Key concepts: Truss, Nonlinear system, Genetic algorithm, Structural engineering, Algorithm, Energy (signal processing), Mathematics, Mathematical optimization