1. Automation School, Beijing University of posts and telecommunications , Beijing 100876, China;2. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200030, China))3. School of Computer and Electronic Information Engineering, Guangxi University, Nanning 530004, China
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.
薛运虎;韦凌云;赵玫;郝仰梅;唐天兵. 基于演化算法的带频率约束的桁架结构形状和尺寸优化[J]. , 2010, 29(12): 13-17.
Xue Yunhu;Wei Lingyun;Zhao Mei Hao Yangmei;Tang Tianbing. Truss Optimization on Shape and Sizing with Frequency Constraints Based on Evolutionary Algorithm. , 2010, 29(12): 13-17.
2010, Vol. 29 
