噪声与振动控制2024,Vol.44Issue(4) :83-89.DOI:10.3969/j.issn.1006-1355.2024.04.013

含改进LuGre摩擦的冲击振动成型机动力学分析

Dynamic Analysis of Impact Vibration Forming Machine with Improved LuGre Friction

范旭东 张艳龙 张睿
噪声与振动控制2024,Vol.44Issue(4) :83-89.DOI:10.3969/j.issn.1006-1355.2024.04.013

含改进LuGre摩擦的冲击振动成型机动力学分析

Dynamic Analysis of Impact Vibration Forming Machine with Improved LuGre Friction

范旭东 1张艳龙 1张睿1
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作者信息

  • 1. 兰州交通大学 机电工程学院,兰州 730070
  • 折叠

摘要

针对一种具有物料检测装置的全自动散热片成型机,简化得到一类含间隙及摩擦的两自由度冲击振动成型机的力学模型,根据拉格朗日方程建立系统的运动方程,并得到系统运动的详细过程及每个阶段的判断条件.利用数值仿真分析改进LuGre动摩擦作用下系统运动的转迁过程以及黏滞和颤振现象.结果表明:系统运动主要经周期倍化分岔、周期逆倍化分岔、擦边分岔以及Hopf分岔在单周期运动与多周期运动以及周期运动与混沌之间相互转迁.此外,当系统激振频率在1~1.081 9之间时,系统运动存在黏滞和颤振现象;当系统激振频率在1.081 9~3之间时,系统运动只存在颤振现象,黏滞现象消失.

Abstract

A kind of automatic radiation fin molding machine with material detection device is studied.The simplified mechanical model of the 2-DOF impact vibration molding machine containing gap and friction is established,and the kinematic equation of the system is established according to the Lagrange equation.The detailed process of the system motion and the judgment conditions of each stage are obtained.The transition process of system motion,the phenomena of viscosity and flutter under improved LuGre dynamic friction are analyzed by numerical simulation.The results show that the system motion mainly shifts between single periodic motion and multi periodic motion and between periodic motion and chaos through period doubling bifurcation,period inverse doubling bifurcation,grazing bifurcation and Hopf bifurcation.In addition,when the system excitation frequency is between 1 and 1.081 9,the system motion has viscous and flutter phenomena;when the system excitation frequency is between 1.081 9 and 3,the system motion only has flutter phenomenon,and the viscous phenomenon disappears.

关键词

振动与波/成型机/动摩擦/分岔/黏滞/动力学特性

Key words

vibration and wave/forming machine/dynamic friction/bifurcation/viscous/dynamic properties

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基金项目

国家自然科学基金资助项目(11302092)

甘肃省科技计划资助项目(21YF5WA060)

出版年

2024
噪声与振动控制
中国声学学会

噪声与振动控制

CSTPCD北大核心
影响因子:0.622
ISSN:1006-1355
参考文献量8
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