Vibration Control Performance And Swarm Intelligence Optimization Of Tuned Liquid Inerter Systems

The vibration control effect of Tuned Mass Damper(TMD)is proportional to its tuned mass,and a large tuned mass is required to achieve the ideal vibration control effect.Therefore,how to reduce the tuning mass while ensuring the vibration control effect of the structure is a problem with important theoretical value and practical engineering application.Tuned liquid inerter system(TLIS)is a new type of tuned vibration absorbing device that combines inerter system with apparent mass effect and energy dissipation effect with traditional tuned vibration absorbing device tuned liquid damper(TLD).Compared with the traditional tuned liquid dampers,the tuned liquid inertia capacity system makes up for the problems caused by excessive tuning mass,and can enhance the effect of structural vibration control while achieving the effect of lightweight tuning mass.In order to make the tuned liquid inertia capacitor system achieve the optimal effect of tuned mass lightweighting without changing the damping performance,this paper proposes the design principle of tuned liquid inertia capacitor system lightweighting based on the target performance requirements,under the premise of meeting the target performance requirements and minimizing the tuned mass,and adopts the adaptive swarm intelligent optimization algorithm to optimize the constrained expressions involved in the TLIS lightweighting principle The solution of the constrained optimization expressions involved in the TLIS lightweighting principle is performed using adaptive swarm intelligence optimization algorithms.The tuned liquid inerter system is studied in the paper from the following aspects:The equations of motion of the single-degree-of-freedom structure of the attached tuned liquid inerter system under ground motion excitation are established,and the computational expressions for the stochastic vibration response are derived.Based on the random vibration response,the root-mean-square displacement damping ratio of the main structure is adopted as the damping performance evaluation index,and the ratio of liquid sway displacement to main structure displacement(hereinafter referred to as: liquid sway displacement ratio)is defined to limit the liquid sway displacement.Subsequently,the influence of relevant parameters on the root mean square displacement damping ratio is analyzed,and based on the results of the parameter analysis,the design principle of tuned mass lightweighting of the damping structure of the attached tuned liquid inertia capacity system based on the target performance requirements and the corresponding design process are proposed.To obtain the optimal tuned mass lightweight design parameters of the tuned liquid inertia capacitor system,a particle swarm algorithm with better robustness,simple principle and easy computer programming implementation is used for the solution.In the solution process,adaptive penalty weights and adaptive inertia weights are introduced to improve the algorithm stability as well as the solution efficiency.Finally,the effectiveness and superior performance of the adaptive weight particle swarm algorithm in solving the tuned mass lightweight problem of a tuned liquid inerter system are verified by designing an algorithm.Finally,a lightweight tuning design method is proposed for the multi-degree-offreedom structure of the attached tuned liquid inerter system.Firstly,the equations of motion of the multi-degree-of-freedom structure of the attached tuned liquid inerter system under seismic excitation are established.Then,the multi-degree-of-freedom structure is converted into an equivalent generalized single-degree-of-freedom structure according to the generalized single-degree-of-freedom theory,and finally,the generalized single-degree-of-freedom structure is designed for the seismic reduction of the attached tuned liquid inertia system according to the optimization design method of the singledegree-of-freedom structure of the attached tuned liquid inertia system.The effectiveness of the design method is demonstrated by the damping design of the multi-degree-offreedom structure with 6,9,and 12 degrees of freedom with a tuned liquid inertia system attached.