Truss Optimization on Shape and Sizing with Frequency Constraints Based on Evolutionary Algorithm

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Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (12) : 13-17.

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Truss Optimization on Shape and Sizing with Frequency Constraints Based on Evolutionary Algorithm

Xue Yunhu1; Wei Lingyun1; Zhao Mei2 Hao Yangmei1; Tang Tianbing3

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Abstract

Truss optimization on shape and sizing with frequency constraints are highly nonlinear dynamic optimization problems. Coupling of two different types of design variables, nodal coordinates and cross-sectional areas, often lead to divergence while multiple frequency constraints often cause difficult dynamic sensitivity analysis. Mathematical programming and optimal criteria methods, which need complex dynamic sensitivity and are easily trapped into the local optima, are difficult to solve the problems. A modified evolutionary algorithm was proposed to solve the truss shape and sizing optimization simply and effectively. The proposed algorithm organically combined the Nelder–Mead’s simplex method, multiple-parent crossover and variant subspace technique. Several typical truss optimization examples are employed to demonstrate the validity, availability and reliability of the proposed algorithm for solving shape and sizing optimization of trusses with multiple frequency constraints.

Key words

Truss optimization / Evolutionary algorithm / Frequency constraints / Structural optimization

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Xue Yunhu;Wei Lingyun;Zhao Mei Hao Yangmei;Tang Tianbing. Truss Optimization on Shape and Sizing with Frequency Constraints Based on Evolutionary Algorithm[J]. Journal of Vibration and Shock, 2010, 29(12): 13-17