Stabilization of 1/3-Order Subharmonic Resonance Using an Autoparametric Vibration Absorber
Stabilization of 1/3-Order Subharmonic Resonance Using an Autoparametric Vibration Absorber
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使用自参数减振器稳定 1/3 阶次谐波谐振
DOI：
10.1115/1.2893981
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
N. Aoshima
中科院分区：
文献类型：
--
作者：
H. Yabuno;Yasuhiro Endo;N. Aoshima
提出了一种具有自参数减振器的1/3阶次谐波谐振稳定化方法。引入具有非线性弹簧刚度和谐波激励的主系统，即受正弦变化的磁力作用，作为产生1/3阶次谐波谐振的模型。将固有频率在主系统的一半附近的阻尼摆系统作为吸收器附在主系统上，以引起1:2的内部共振。由于主系统与减振器之间的能量传递和减振器的能量耗散，避免了闭锁摆发生的1/3阶次谐波共振。从理论上也证明了由于吸收体的作用，1/3阶次谐波频率分量的稳定非平凡稳态转变为不稳定稳态。实验结果表明，自参数吸振器对1/3阶次谐波谐振是有效的。
The paper proposes a stabilization method for 1/3-order subharmonic resonance with an autoparametric vibration absorber. A main system with nonlinear spring stiffness and harmonic excitation, i.e., subjected to a sinusoidally changed magnetic force, is introduced as a model which produces 1/3-order subharmonic resonance. A damped pendulum system, whose natural frequency is in the neighborhood of one-half of the main system, is attached to the main system as an absorber, in order to induce 1:2 internal resonance. The 1/3-order subharmonic resonance which occurs in the case of locked pendulum is avoided due to energy transfer between the main system and the absorber, and due to energy dissipation by the absorber. It is also theoretically shown that a stable nontrivial steady state with respect to the 1/3-order subharmonic frequency component is changed into an unstable one due to the absorber. Experimental results show the validity of the autoparametric vibration absorber for the 1/3-order subharmonic resonance.