Harmonic balance method for nonlinear vibration of dry friction oscillator with Iwan model

WANG Ben-li; ZHANG Xiang-meng; WEI Hong-tao

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Harmonic balance method for nonlinear vibration of dry friction oscillator with Iwan model

更新时间：2026-07-07

- Harmonic balance method for nonlinear vibration of dry friction oscillator with Iwan model
- Vol. 28, Issue 1, (2013)
- 作者机构：
  
  哈尔滨工业大学航天学院卫星技术研究所,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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WANG Ben-li, ZHANG Xiang-meng, WEI Hong-tao. Harmonic balance method for nonlinear vibration of dry friction oscillator with Iwan model[J]. 2013, 28(1).
DOI：

WANG Ben-li, ZHANG Xiang-meng, WEI Hong-tao. Harmonic balance method for nonlinear vibration of dry friction oscillator with Iwan model[J]. 2013, 28(1). DOI：

摘要

通过谐波平衡法

研究了由Iwan模型和1个质量块构成的干摩擦振子系统的自由振动和受迫振动问题.对于自由振动

推导了系统卸载和加载过程中各自对应的非线性运动方程;通过谐波平衡法

求得了各方程的1阶谐波解;为了得到方程正确的数值解

提出了确定零速度时刻的策略;数值算例结果表明:谐波平衡法与数值方法得到结果吻合较好

从而验证了谐波平衡法求解此类问题的有效性.对于系统微滑移下的受迫振动

采用谐波平衡法求得了系统的幅频关系.最后

对Iwan模型阻尼特性的研究发现

模型等效黏性阻尼比与其振幅存在非线性关系.

Abstract

Free vibration as well as forced vibration of a dry friction oscillator which was composed of Iwan model and a mass were investigated by harmonic balance method (HBM).For free vibration

the nonlinear equations of the motion of the system in the processes of loading and unloading were presented respectively.Then

based on HBM

the first-order approximate harmonic solution of each equation was derived.A strategy was proposed to detect the moments of zero velocity so as to achieve the correct numerical solutions.The results of a numerical example show that the solutions of HBM coincide well with those of the numerical method

so the validity of the method for such problem is verified.For forced vibration accompanied with microslip

the amplitude-frequency relationship of the system was derived by HBM.Finally

the damping characteristics of the Iwan model were studied.It is seen that a nonlinear relationship exists between the equivalent viscous damping of the model and its displacement amplitude.

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Related Institution

School of Electromechanical and Automotive Engineering， Yantai University，Yantai Shandon

哈尔滨工业大学能源科学与工程学院

哈尔滨工业大学航天学院

中国科学院工程热物理研究所

Shengyang Institute of Automation, Chinese Academy of Sciences

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