THE PRINCIPAL SOLUTIONS OF CONNECTING SPRING AND DAMPER FOR OPTIMUM VIBRATION CONTROL UNDER SEVERAL CRITERIA

摘要

This paper presents principal solutions of connecting spring and damper systems for vibration control method under several criteria. These solutions are derived from the theory of stationary points of transfer functions defined as displacement response under each component of ground motion; displacement, velocity and acceleration. The model is define as a pair of one-mass systems connected by a spring and a damper. Two controlling cases are defined; one case in which only the main structural system is considered as the controlling target, and another case in which both structural systems are considered. It has been difficult to solve the problem of controlling both structural systems. This paper presents a systematic method to solve this problem. It has been well known that there exist the stationary points of transfer function independent of the connecting damper. This paper newly shows the existence of the stationary point independent of not only connecting damper but also connecting spring. And the existence of stationary point has important significance for vibration control.