Bifurcation and chaos analysis of cutter head-spindle system of VH-CATT gear machine tool considering time-varying stiffness

doi:10.1007/s00170-021-08360-0

CORC > 兰州理工大学 > 兰州理工大学

	Bifurcation and chaos analysis of cutter head-spindle system of VH-CATT gear machine tool considering time-varying stiffness
	Liang, Shuang 2; Hou, Li 2; Zhang, Haiyan 2; Luo, Lan 1,2; Wu, Yang 2; Luo, Pei 2
刊名	INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY
	2022
关键词	Variable hyperbolic circular arc tooth trace gear Cutter head-spindle system Time-varying stiffness Bifurcation Chaos
ISSN号	0268-3768
DOI	10.1007/s00170-021-08360-0
英文摘要	The stability of power system in variable hyperbolic circular arc tooth trace (VH-CATT) gear machine tool determines the surface accuracy and mechanical properties of the VH-CATT gear. Due to the existence of several time-varying parameters, the power system is a typical nonlinear dynamic system. To study the influence of the design parameters of the spindle and cutter head on the motion stability of the power system, a nonlinear dynamic model of the cutter head-spindle system is established based on the cutting principle, which considers the time-varying stiffness, clearance and excitation. According to the potential function and phase portrait, the existence of intersect homoclinic orbit is proved, and the concrete expression is derived. The threshold values of the parameters for occurrence of the homoclinic bifurcation are obtained by means of Melnikov method. The analytical predictions have been verified through numerical simulations, and good agreement is observed, which presents the dynamic behaviors of the system include 1 T-periodic, nT-periodic, and chaotic motion. Additionally, combined with bifurcation diagrams, time histories, phase portraits, Poincare sections, and power spectra, the global bifurcation of the system and the transition between various motion states are revealed. The research results offer reference for the parameter selection of the cutter head-spindle system and also provide a theoretical basis for the subsequent experimental analysis.
WOS研究方向	Automation & Control Systems ; Engineering
语种	英语
出版者	SPRINGER LONDON LTD
WOS记录号	WOS:000744403700004
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/154839]
专题	兰州理工大学
作者单位	1.Lanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Peoples R China 2.Sichuan Univ, Sch Mech Engn, Chengdu 610065, Peoples R China;
推荐引用方式 GB/T 7714	Liang, Shuang,Hou, Li,Zhang, Haiyan,et al. Bifurcation and chaos analysis of cutter head-spindle system of VH-CATT gear machine tool considering time-varying stiffness[J]. INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY,2022.
APA	Liang, Shuang,Hou, Li,Zhang, Haiyan,Luo, Lan,Wu, Yang,&Luo, Pei.(2022).Bifurcation and chaos analysis of cutter head-spindle system of VH-CATT gear machine tool considering time-varying stiffness.INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY.
MLA	Liang, Shuang,et al."Bifurcation and chaos analysis of cutter head-spindle system of VH-CATT gear machine tool considering time-varying stiffness".INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY (2022).