Abstract
In chatter vibration during cylindrical grinding, the workpiece vibrates with considerable amplitude. In this paper, the amplitudes of chatter vibration in other elements, i. e. wheelspindle, wheelhead, headstock, tailstock and table, are experimentally observed and the dynamical system with eight degrees of freedom is established, considering the results of rigidity measurements and resonance curves. As a function of an equivalent spring, coupling the grinding-wheel and the workpiece, the frequency of workpiece is computed and compared with frequencies of systems with lower degrees of freedom, in which the motions of elements with smaller amplitude are neglected. As a result of analysis, it is indicated that the behavior of workpiece can be evaluated in its own system, including coupling stiffness. Further it is shown that the workpiece, which is held between centers, acts as a mass supported on springs and also possesses a spring characteristic as a beam, and by means of Transfer Matrix method the mode of vibration of workpiece system can be obtained, which lies closely to the experimental one.
