Parameter Analysis Of TMD System Based On Genetic Algorithm

Tuned Mass Dampers(TMD)is one of the most widely used passive vibration control system in engineering application.In general,the TMD is composed of mass,spring system,damping system,and support system.Because of its simple composition,significant vibration control effect,no need of additional energy,and simple maintenance in the later stage,there is a broad application in seismic and wind vibration control of the high rise building.When the structure is subjected to seismic load or wind load,the force acting opposite to the motion of the main structure is generated due to the inertia of the mass to achieve resonance energy absorption.Based on the studies of domestic and foreign,and research on TMD control on seismic load and wind load,the influence of the optimal parameter deviation of TMD on the vibration effect and its robustness will be discussed as followed:Firstly,based on MATLAB platform,the self-programming genetic algorithm program is used to solve the complicated optimization process of the optimal parameters of the TMD system.Comparing the analytical solution of the classical single-degree-of-freedom undamped structure proposed by Den Hartog to the simplified model theory of TMD system,the optimal frequency ratio of TMD obtained by two different optimization methods is basically the same,and the optimal damping ratio has some deviation,but The error does not exceed 2%,within the allowable range;the steady-state solution dynamic displacement coefficient curve of the main structure drawn by the results of two different optimization methods is basically consistent,and the peak error of the dynamic displacement coefficient of the main structure of the two main structures is negligible.On this basis,when the main structure is subjected to the harmonic load,the influence factors of the single-degree-of-freedom structure-TMD damping effect are simulated and analyzed.The effects of mass ratio,damping ratio and frequency ratio of TMD on the damping effect are discussed.And get the corresponding rules and trends.Then,for the more typical multi-degree-of-freedom structure excited by seismic waves in actual engineering,the TMD system is placed on the top of the structure,and the optimal parameter combination of TMD is found under the optimization goal of minimizing the displacement or the acceleration response.Considering the objective fact that the TMD optimal parameters deviate to some extent in practical engineering applications,this paper considers the influence of TMD system,damping ratio and frequency ratio on the damping effect to different degrees,and introduces the lognormal distribution.a probabilistic model is formatted to simulate the deviation of the TMD system's own parameters in the actual engineering.By using the method of Monte Carlo to study the influence of parameter deviation of TMD system on vibration reduction And get the law and conclusion of universality,which has certain guidance and reference significance for TMD vibration reduction design.Aiming at the influence of TMD parameter perturbation on the damping effect,a new parameter optimization strategy based on genetic algorithm is proposed.The perturbation of TMD parameters is considered during the parameter optimization.The optimized parameters are not optimal in a deterministic situation TMD parameters.Solving,can greatly improve the robustness of the control effect under the TMD parameter perturbation.Finally,The research results of this paper are summarized,and the problems encountered in the research process are pointed out.Some suggestions and ideas are given for the further research in the future.