Graphical Solution of the Forced Vibration of a System of Two Degrees of Freedom containing One Element with Arbitrary Non-linear Restoring Force

Abstract

The study of the forced vibration of non-linear characteristic has so far been restricted to the system of one degree of freedom It is indeed typical of the non-linear vibration that the computation becomes very complicated as the degrees of freedom is increased. In the present paper, the graphical method is obtained to find the periodic solution of the forced vibration of a system of two degrees of freedom with a symmetrical or non-symmetrical non-linear restoring force, and the satisfactory coincidence between the results of experiment and the calculation is reported.