2009Journal of Liaoning Technical UniversityRequires access

Nonlinear analysis of truss structures using force method and genetic algorithm

Daming Zhang

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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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What this paper is about

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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Available 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.

Key concepts: Truss, Nonlinear system, Genetic algorithm, Structural engineering, Algorithm, Energy (signal processing), Mathematics, Mathematical optimization

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