甘肃科技纵横2024,Vol.53Issue(5) :45-51.DOI:10.3969/j.issn.1672-6375.2024.5.007

含间隙双频激励碰撞振动系统的动力学分析

Dynamics Analysis of Vibro-impact System with Double-frequency Excitation and Clearance

马康州 卫佳 吴少培
甘肃科技纵横2024,Vol.53Issue(5) :45-51.DOI:10.3969/j.issn.1672-6375.2024.5.007

含间隙双频激励碰撞振动系统的动力学分析

Dynamics Analysis of Vibro-impact System with Double-frequency Excitation and Clearance

马康州 1卫佳 1吴少培1
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作者信息

  • 1. 兰州交通大学,甘肃 兰州 730070
  • 折叠

摘要

文章研究了一类单自由度双频激励碰撞振动系统的动力学模型,建立了2个在不同频率正弦激励作用下的碰撞振动运动微分方程,给出了含间隙系统双频激励下Poincaré映射的建立方法,推导出该映射的Jacobian矩阵,从而得到相应的特征值.同时,研究了单个频率变化时对周期运动的影响,以及在一定的频率比下不同间隙和频率对周期分布的影响.进一步利用特征值研究了系统随频率变化出现的周期运动、分岔、擦边以及混沌现象,通过Poincaré映射图和相图对分岔点处的特性进行了分析.

Abstract

The paper mainly studies a kind of single-degree impacting dynamical model with double-frequency excitation,establishes the equation of vibro-impact with double-frequency.The Poincaré map of system is estab-lished to deduce the Jacobian matrix and the corresponding eigenvalues.It also studies the influence of the single-frequency change to periodic motion.And under a certain ratio of frequency,it studies the influence of frequency and clearance to the periodic distribution.The paper further uses the eigenvalues to study the phenomenon of peri-odic motion,bifurcation,rubbing edge and chaotic motion,and analyzes the characteristics of the bifurcation points through the Poincare map diagram and the phase diagram.

关键词

双频激励/碰撞振动/Poincaré映射/擦边/混沌

Key words

double-frequency excitation/vibro-impact/Poincaré map/grazing/chaos

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基金项目

甘肃省科技计划(21JR7RA311)

甘肃省科技计划(23JRRA1697)

出版年

2024
甘肃科技纵横
甘肃省科技情报学会

甘肃科技纵横

影响因子:0.337
ISSN:1672-6375
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