Chaotic prediction of metal rubber damper for occurred chaos

TANG Guo; CHEN An-hua; GUO Yuan-jun

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Chaotic prediction of metal rubber damper for occurred chaos

更新时间：2026-07-07

- Chaotic prediction of metal rubber damper for occurred chaos
- Vol. 27, Issue 8, (2012)
- 作者机构：
  
  1. 湖南科技大学数学与计算科学学院,湖南,湘潭,411201
  2. 湖南科技大学机械设备健康维护湖南省重点实验室,湖南,湘潭,411201
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2012
- 稿件说明：
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TANG Guo, CHEN An-hua, GUO Yuan-jun. Chaotic prediction of metal rubber damper for occurred chaos[J]. 2012, 27(8).
DOI：

TANG Guo, CHEN An-hua, GUO Yuan-jun. Chaotic prediction of metal rubber damper for occurred chaos[J]. 2012, 27(8). DOI：

摘要

在考虑金属橡胶隔振系统的非线性刚度和非线性迟滞恢复力的基础上

建立了金属橡胶隔振器的非线性动力学方程.根据非线性振动理论

得出了系统在弱非线性情况下的一次谐波慢变参数的平均化方程;推出了谐波慢变参数状态方程的离散化映射

获得了金属橡胶隔振器出现混沌的解析条件.

Abstract

The nonlinear dynamics equation of a metal rubber damper with nonlinear stiffness and nonlinear hysteresis resilience was proposed.According to non-linear vibration theory

the average equation of slowly-varying parameters was obtained in the weakly nonlinear case.The discrete mapping of the status equation of harmonic wave slowly-varying parameters was developed.The analytical condition of occurred chaos for metal rubber damper was obtained.

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