【摘要】 针对随机结构提出了TMD的优化设计方法,基于Gegenbauer多项式逼近法将随机结构转化为等效确定性扩阶系统,选取该扩阶系统传递函数的H∞范数为优化目标,采用遗传算法来优化TMD参数。此外,应用概率密度演化理论分析比较了随机结构-TMD系统控制前后的结构随机地震响应和动力可靠度,并用蒙特卡罗法进行了验证。仿真分析结果表明:采用所提方法优化设计的TMD能有效地减小随机结构响应的峰值和方差,明显改善结构在地震激励下的动力可靠度,采用该方法优化设计的TMD具有良好的鲁棒性。更多还原

【Abstract】 This paper presents a robust optimal design procedure of TMD parameters for stochastic structures based on H∞performance.A stochastic structure is first transformed into its deterministic equivalent system by Gegenbauer polynomial approximation method.Genetic algorithm is used in order to evaluate TMD′s optimum parameters through H∞ norm of the transfer function of the deterministic equivalent system as the objective function.The procedure of the optimal design of TMD is illustrated through a numerical example by the probability density evolution analysis.Numerical results show preliminarily that the optimized TMD can effectively suppress the undesirable vibration and improve structural dynamic reliability of the stochastic structure under the earthquake.更多还原