中国机械工程2016,Vol.27Issue(17):2310-2315,2321,7.DOI:10.3969/j.issn.1004-132X.2016.17.007
基于渐进法的约束阻尼结构拓扑多目标动力学优化
Topological Multi-objective Dynamics Optimization of Constrained Damping Structure Based on Evolutionary Structural Optimization
摘要
Abstract
Aimed to realize vibration reduction of damping structure,constrained damping plate vi-bration optimization was studied.From the constitutive relations of damping materials,the dynamics equation of constrained damping plate was deduced by principle of virtual work,modal loss factor mathematical calculation formula was deduced based on the energy dissipation.A modal was built, which took maximum the modal loss factor and minimum modal frequency changes as the objective function, damping materials consumption as constraint conditions, the modal loss factor and frequency sensitivity formula was deduced,normalized composite sensitivity formula was constructed. Evolutionary structural optimization was introduced to solve the topological optimization mathematical model,A program of damping structure topological optimization process was given in order to realize simulation calculation of damping plates. The simulations show that multi-objective of the evolutionary structural optimization may significantly improve the vibration reduction effectiveness of the damping material,guarantee the stability of frequency characteristics of the damping plates and greatly reduce the dosage of damping materials.The harmonic response analysis was carried out on the damping plates to verify the effectiveness of the optimization results.The optimization method may be widely used in the design of vibration reduction which have strict requirements in structure dynamics characteristics.关键词
约束阻尼结构/模态损耗因子/模态频率/动力学优化Key words
constrained damping structure/modal loss factor/modal frequency/dynamics opti-mization分类
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贺红林,陶结,刘尧弟,凌普..基于渐进法的约束阻尼结构拓扑多目标动力学优化[J].中国机械工程,2016,27(17):2310-2315,2321,7.基金项目
国家自然科学基金资助项目(51265040) (51265040)
江西省自然科学基金资助项目(20122BA216027) (20122BA216027)