Stabilization of a 1/3-order subharmonic resonance using nonlinear dynamic vibration absorber

作者：Jo Hoonhee; Yabuno Hiroshi^*

来源：Nonlinear Dynamics, 2010, 59(4): 747-758.

DOI：10.1007/s11071-009-9574-0

• Subharmonic resonance
• Nonlinear vibration absorber
• Nonlinear restoring force
• Nonlinear coupling
• The method of multiple scales

The paper proposes a stabilization method for a 1/3-order subharmonic resonance with a new type of nonlinear vibration absorber using nonlinear coupling between a main system and the absorber. The main system with nonlinear restoring force and harmonic excitation, i.e., subjected to a sinusoidally changed magnetic force, is introduced as a model which produces a 1/3-order subharmonic resonance. A damped pendulum, whose natural frequency is tuned to be in the neighborhood of twice that of the main system, is connected through a link to the main system as a nonlinear vibration absorber. Theoretical results using the method of multiple scales show that only a stable nontrivial steady state is changed into an unstable one due to the effect of absorber. In addition, we numerically confirm the validity of the proposed absorber using Runge-Kutta method.

• 出版日期2010-3