Parallel dynamic model of rubber isolator about five-parameter fractional derivatives

TANG Zhen-huan; LUO Gui-huo; CHEN Wei; YANG Guo-hui; FANG Jian-min

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Parallel dynamic model of rubber isolator about five-parameter fractional derivatives

更新时间：2026-07-07

- Parallel dynamic model of rubber isolator about five-parameter fractional derivatives
- Vol. 28, Issue 2, (2013)
- 作者机构：
  
  南京航空航天大学能源与动力学院,南京,210016
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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TANG Zhen-huan, LUO Gui-huo, CHEN Wei, et al. Parallel dynamic model of rubber isolator about five-parameter fractional derivatives[J]. 2013, 28(2).
DOI：

TANG Zhen-huan, LUO Gui-huo, CHEN Wei, et al. Parallel dynamic model of rubber isolator about five-parameter fractional derivatives[J]. 2013, 28(2). DOI：

摘要

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.

Abstract

The dynamic model of nonlinear fractional derivatives was established for the research of an auxiliary power unit(APU) rubber isolator.The parallel model of five-parameter fractional derivative was presented

which concerned frequency and amplitude dependencies.The model can simulate viscoelastic properties in a wide range with few parameters.At the same time

the influence of every parameter on dynamic modulus and loss modulus as well as the methods of numerical solution were studied.The result shows that the model can be used to predict the dynamic properties in a wide range.It provided basis for design and application of rubber isolator.

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