Transactions of Materials and Heat Treatment

Title：Analysis on drawing self-excited vibration equation and its numerical algorithm

Authors： Cao Yizhong1 2 Yuan Hao1 Ha Da1 2 Zhang Weirong1 2 Feng Jingang1 2

Unit： 1. College of Mechanical and Vehicle Engineering Taiyuan University of Technology Taiyuan 030024 China 2. Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment Ministry of Education Taiyuan 030024 China

KeyWords： hunting phenomena of mechanical systems drawing mass module friction force vibration

ClassificationCode：TH123+.1

year,vol(issue):pagenumber：2024,49(5):76-83

Abstract：

For the problem of vibration induced by “hunting” or “jumping” phenomenon in the process of drawing, the time-varying mass nonlinear differential control equation of self-excited vibration of drawing was established according to the differential control equation of hunting phenomenon proposed by Professor Ding Wenjing, and the differential equation was solved numerically by the shifted Chebyshev polynomial function. Then, three specific simulation problems of actual working conditions were given, and for each problem, different damping coefficients, stiffness coefficients, variable mass functions and friction forces were respectively considered. Furthermore, corresponding dimensionless displacement diagram and phase diagram were drawn, and the influences of mass module and friction force on the drawing process were studied by numerical simulation. The results show that when the friction force exhibits linear or periodic changes, it has a significant impact on the vibration displacement during the drawing process, while the change of mass module has not affect the drawing result.

Funds：

基金项目:国家重点研发计划(2018YFA0707300)

作者简介：曹益忠（1982-），男，硕士，研究员 E-mail：cccyz2008@126.com

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