Research on Representative Engineering Vibration Isolation and Control Using Particle Swarm Optimization Technique

Abstract

In this paper, vibration isolation and control for two types of representative engineering equipment are considered, i.e. sensitive equipment and machinery equipment. Isolation designs for the two equipments are carried out, respectively, for the purpose of chasing an optimal strategy and in which latest swarm intelligence—particle swarm optimization (PSO)—technique is adopted. In the investigation of single-stage system for sensitive equipment, transmissibility of displacement of equipment and relative displacement between equipment and foundation show that this design cannot obtain a desired isolation effect, but an implementation using multi-objective PSO (MOPSO) technique can overcome this when both the objectives are balanced. Then a two-stage system is investigated, and the transmissibility indicates that the disadvantages can be effectively eliminated, and the obtained gbest solutions using MOPSO can prove this. Based on the two-stage passive isolation, active control is proposed for better vibration attenuation, which is focused on $$H_{\infty }$$ criterion, and the control outputs are consisted of multi-objective fitness functions, and the latter strategy can seize the control effect of the two objectives well compared with the single-objective PSO-based $$H_{\infty }$$ control. Following the strategies for the sensitive equipment, similar strategies for machinery equipment are performed promptly. In the single-stage system, transmissibility derivations of transmitted force to the foundation and inertial force of equipment are same with the ones of displacement and relative displacement of single-stage design of sensitive equipment; in addition, chunk foundation is often utilized for machinery equipment, and the vibration of which should be taken into consideration. In view of these, a two-stage system is proposed, and the transmissibility indicates a drift for entering into the desired isolation region is feasible and the MOPSO-based validation is presented. After this, active vibration control is also investigated, and a multi-objective control using $$H_{\infty }$$ method is also performed using MOPSO, and the validations further confirm the importance and necessity of a multi-objective control. Single-objective and multi-objective vibration controls should be taken into account for sensitive and machinery equipment, by which a balanced and optimized control can be performed.