Forced Vibration of a One-degree-of freedom System with Unsymmetrical Viscous Damping

Abstract

The forced vibration of the one-degree-of-freedom system with unsymmetrical viscous damper has been analyzed theoretically in a rigorous method, and the calculation has been made for the following two cases : a) c=0.2c_c, c=0.8c_c, b) c=0, c=c_c, where c_c is the critical damping coefficient. The numerical results obtained have shown (1) that the neutral line of the vibration of such a system has a tendency or shifting to the direction, in which the damping is weak ana the amount of shifting growing with the frequency of the forced vibration as well as with an increase in the ratio of damping on rebound stroke to that on compression stroke, and (2) that the wave figure of the acceleration warps considerably. These results have also been ascertained by an experiment carried out with a system equipped with the damper which works on the stroke of one direction only.