Analysis of nonlinear oscillations of three-degree-of-freedom vibratory systems with 1:1:1 internal resonance

摘要

Three-degree-of-freedom nonlinear vibratory systems with 1:1:1 internal resonance and with cubic nonlinearity are considered. Considered. Attention is focused on the responses of the systems near a primary resonance point. The systems are assumed to be subjected to a harmonic excitation on one of their three modes. The systems can be divided into two groups depending on the types of responses. In one group both single-mode and multi-mode responses are possible and in the other only multi-mode response is possible.