Research on Dynamics Model of Rubber Isolator about Nonlinear Fractional Derivatives

Abstract

Abstract:

A dynamics model was established for an APU(auxiliary power unit) rubber
isolator which was studied as research object.The model and its limitation were analysed and a
dynamics model of nonlinear fractional derivatives was proposed.
The numerical solution was studied,and solution was given.At the same time,the influences
of every parameter on decay rate and response characteristics was studied.It could be used for the analysis of the response of system with isolator and provided basis for design of rubber isolator.Comparing with the general model,the model
can describe dynamic characteristics on the impulse excitation with few parameters.

Key words: nonlinear, dynamic characteristics, rubber isolation, fractional derivative

摘要：

以飞机辅助动力装置(APU)橡胶隔振器为研究对象，分析了线性分数导数模型的局限性，提出了橡胶隔振器在冲击激励下的非线性分数导数动力学模型。研究了该动力学模型数值求解方法，得到较为合理的结果。同时，讨论各个参数对冲击激励下APU橡胶隔振器衰减速率和响应特性的影响，可用于分析带隔振器系统的响应，为橡胶隔振器设计提供理论基础。与传统的动力学模型相比，该模型能用较少的参数准确描述APU隔振器在冲击激励下的动态特性。

关键词: 非线性, 动态特性, 橡胶隔振器, 分数导数

CLC Number:

O328

Tang Zhenhuan;Luo Guihuo;Chen Wei;Yang Xiguan. Research on Dynamics Model of Rubber Isolator about Nonlinear Fractional Derivatives[J]. China Mechanical Engineering, 2013, 24(18): 2475-2479.

唐振寰;罗贵火;陈伟;杨喜关. 橡胶隔振器非线性分数导数动力学模型研究[J]. 中国机械工程, 2013, 24(18): 2475-2479.

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