Coupled Periodic Motion in free Undamped Non-Linear Two-Degree-of-Freedom Systems

Abstract

This paper deals with free periodic motions occurring in non-linear systems with equations of motion of the form The existence of two types of periodic motion is established and amplitude-frequency relations are derived. An account is given of experimental tests carried out on an analogue computer. The results obtained are applicable to non-linear vibration-isolating suspensions, non-linear vibration absorbers and the non-linear vibration of imperfect bodies of revolution.