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

作　　者：范旭东 张艳龙[1] 张睿 FAN Xudong;ZHANG Yanlong;ZHANG Rui(School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《噪声与振动控制》2024年第4期83-89,共7页Noise and Vibration Control

基　　金：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)。

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1~1.0819之间时,系统运动存在黏滞和颤振现象;当系统激振频率在1.0819~3之间时,系统运动只存在颤振现象,黏滞现象消失。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 1.0819,the system motion has viscous and flutter phenomena;when the system excitation frequency is between 1.0819 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 

分 类 号：O322[理学—一般力学与力学基础] TH113.1[理学—力学]