Behavior and optimization of pneumatic damping system

Abstract

Vibration isolation is one of the most important research areas. Considerable research has been conducted in this area and on ways to reduce vibration. Pneumatic damping system with four gas chambers, which are connected by throttles in valves and permanent magnets, is considered. The mathematical model of pneumatic system is presented. The following factors are evaluated in this mathematical model: forces of pressure, friction, magnetic and contact forces between system bodies. The sensitive analysis of system parameters on which the quality of vibration isolation depends is done and critical parameters are identified. The optimization problem of pneumatic damping system with twelve parameters is presented. The frequency of external force is equal to 10 Hz. The objective function is the amplitude of the relative velocity of the fourth mass when each system parameter can be changed within an allowable interval. The objective function is minimized by the frequency range from 0 to 20 Hz. After optimization process, the value of objective function is decreased approximately three times and optimal system parameters are obtained.