Stability analysis of four bar mechanism. Part I— With the assumption that damping is absent

With increasing machine speed, rigid link assumption is no more valid, hence, links of the mechanism are subjected to vibration. Stability analysis of a vibrating system gives the speeds at which the system response is unbounded. It is necessary to avoid these speeds or to provide sufficient damping for better performance of the system. This paper presents the theoretical work done for stability analysis, which is simple and can be extended to any mechanism in general. It gives the speed ranges, in which response is unbounded, and presents the study of the response at various speeds for undamped system.