一类非线性隔振器振动传递特性分析

非线性输出频率响应函数是由Volterra级数发展而来的一个新概念.对一类具有反对称阻尼特性的隔振器,通过该概念推导出了振动传递性与系统非线性参数之间的显式解析关系；进而系统地研究了非线性阻尼参数对隔振器的力传递性能和位移传递性能的影响.研究结果表明,虽然非线性隔振器在受正弦信号激励下会出现高次倍频分量,但对于其传递性...

Analysis on transmissibility for a class of nonlinear vibration isolators

Nonlinear output frequency response functions developed from the Voherra series is a new concept. Based on the concept, an explicit analytical relationship between the transmissibility of vibration isolator and the nonlinear characteristic parameters was derived for a wide class of nonlinear isolators that have nonlinear anti- symmetric damping characteristics. Further, the effect of the nonlinear damping parameters on the force and dis- placement transmissibility of vibration isolators was studied. The results show that, although the appearance of su- per-harmonic components for the nonlinear vibration isolators are subjected to the sinusoidal vibration excitation, the assessment of it＇ s transmissibility can be simply investigated from the relationship between the fundamental harmonic components of the input and outputs of the nonlinear isolators. Moreover, the introduction of a nonlinear anti-symmetric damping into vibration isolators can significantly suppress both the force transmissibility and the displacement transmissibility over the resonant frequency region, but has almost no effect on the transmissibility at non-resonant regions. These conclusions arc helpful in the analysis and design of the nonlinear vibration isolators with nonlinear anti-symmetric damping.