以辅助动力装置(APU)橡胶隔振器为研究对象,建立了橡胶隔振器非线性分数导数动力学模型.提出了橡胶隔振器5参数分数导数频率相关性和振幅相关性并联模型.该模型能够使用较少的参数描述APU橡胶隔振器在宽广频率范围内的黏弹性特性.还分析研究了各参数对APU橡胶隔振器储存模量和损失模量的影响,利用数值求解的方法给出定量结果.研究结果表明并联模型能更好地描述APU橡胶隔振器宽广频率范围内的动态特性.为橡胶隔振器设计应用提供了理论基础. Taking auxiliary power plant (APU) rubber vibration isolator as research object, a nonlinear fractional derivative dynamic model of rubber vibration isolator was established, and a five-parameter fractional derivative frequency correlation and amplitude-dependent parallel model of rubber vibration isolator was proposed. The model can describe the viscoelastic properties of APU rubber vibration isolator over a wide range of frequency with fewer parameters.The influence of various parameters on the storage modulus and loss modulus of APU rubber vibration isolator has also been analyzed and studied by numerical method The quantitative results are given.The results show that the parallel model can better describe the dynamic characteristics of APU rubber vibration isolator over a wide frequency range and provide a theoretical basis for the design and application of rubber vibration isolators.