圆柱壳振动控制中约束阻尼拓扑优化研究

摘要

Structureswithdampinghaveabetterperformanceinreducingvibration.Basedonthedensityapproach with RAMP interpolation model,a topologic model of constrained damping structure was established with the minimum of reciprocal of modal loss factors as a target function,the volume of damping structure as a constraint condition,and the relative density of constrained damping element as a design variable.The updating criterion of design variable was derived based on an optimal criteria method.And the topologic optimization program was developed based on the finite element method.The topological optimization for constrained damping structure in vibration control of cylindrical shell was carried out.The analysis shows that the topologic optimization method combined with the optimal criteria method needs less number of iterations and can reduce the vibration response of structure effectively,which indicates the validity of the design approach.%基于RAMP（Rational Approximation of Material Properties）插值模型密度法，以结构模态损耗因子倒数最小化为优化目标、阻尼结构体积为约束条件、约束阻尼单元相对密度为设计变量，建立约束阻尼结构拓扑优化模型。基于优化准则法推导设计变量更新准则，结合有限元法编写约束阻尼材料拓扑优化程序，对圆柱壳在振动控制中约束阻尼结构进行拓扑优化分析。结果表明，基于优化准则的振动拓扑优化方法所需迭代次数少，能有效减少结构的振动响应。从而验证设计方法的有效性。