Bifurcation Analysis of Nonlinear Oscillations of Suspended Cables with 2-to-1 Internal Resonance

2：1 내부공진을 갖는 케이블의 비선형 진동의 분기해석

A two degree-of-freedom model of suspended cables is studied for forced resonant response. The method of averaging is used to obtain first-order approximations to the response of the system. A bifurcation analysis of the averaged system is performed in the case of 2-to-1 internal resonance. Nonlinear coupled-mode motions are found to bifurcate from single-mode responses and further bifurcate to limit cycle motions via Hopf bifurcations. The limit cycle solutions undergo period doubling bifurcations to chaos.