Theory of Vibration Isolation of a System with Two Degrees of Freedom : 2nd Report, The Case Where a Harmonic Force Acts on the Mass Located Far from the Supporting Foundation

Abstract

This paper presents expressions and computational graphs to determine the optimum tuning and damping parameters for a linear system with two degrees of freedom. The mass m₁ is connected to an immovable foundation through a spring k₁ and a dashpot c₁. An impressed harmonic force acts on the sass m₂. Either of the masses (named main mass) should be isolated from the vibration originating from the impressed force; whereas, the other mass functions as a dynamic absorber, The optimization criterion is minimizing the maximum displacement of the main mass. The optimum design parameters can be formulated when c₁=0. If c₁≠0, and tested on a vibratory model. The experiment makes it clear that the theory is very useful for the isolation of actual mechanical vibrations.