Optimum Design of a Vibration Reduction System of a Machine Subjected to Random Excitation

The main purpose of this study is to design a vibration reduction system of a machine subjected to random excitation. The optimization criterion in the design is to minimize the mean square displacement of the machine to the force excited by white noise. We also propose a design procedure of a vibration isolation system to reduce the force transmitted from the machine to the ground or supporting foundation. The vibration reduction/isolation system was assumed, to have a single degree of freedom. Including the extra degree of freedom caused by the elasticity of the ground, the total system has two degrees of freedom. This paper presents expressions and computational graphs which show the optimum tuning and damping parameters for a linear system with two degrees of freedom. The optimum parameters were tested on a vibratory model. The experimental work shows that the present analysis is useful for reducing the vibration induced by random excitation.