基于遗传算法的TMD参数优化研究

Optimization analysis of TMD parameters based on genetic algorithm

将遗传算法应用于结构被动减振装置的参数优化之中,提出了优化方法以及数学模型。以控制一个大跨度钢桁架连廊的人致振动为工程实例,通过Matlab编写算法主程序,利用有限元进行循环计算,实现对STMD系统的刚度、阻尼参数以及MTMD系统的位置组合的优化。结果表明:在TMD系统中应用遗传算法寻优得到的最优参数比Den hartog定点理论计算出的最优参数减振率提高2.7%,在MTMD系统中最优的布置方式比均布布置方式对中心频率的减振率能提高2.2%,同时也说明了遗传算法在TMD减振系统优化中的可行性。

The genetic algorithm is applied to the parameter optimization of the structural passive vibration damping device,and the optimization method and mathematical model are proposed.Taking the control of human-induced vibration of a large-span steel truss corridor as an engineering example,the main program of the algorithm is written by Matlab,and the finite element is used for cyclic calculation to optimize the stiffness and damping parameters of the STMD system and the position combination of the MTMD system.The results show that the optimal parameters obtained by applying the genetic algorithm in the TMD system are 2.7%higher than the optimal parameters calculated by the Den hartog fixed-point theory.The optimal layout in MTMD system is 2.2%higher than that of uniform layout,and the feasibility of the genetic algorithm in the optimization of the TMD damping system is also illustrated.