Modeling and analyzing of nonlinear dynamics for linear guide slide platform considering assembly error

• Published in: Nonlinear dynamics 2022-05, Vol.108 (3), p.2193-2221
• Main Authors: Liu, Zhendong, Xu, Mengtao, Zhang, Hongzhuang, Li, Changyou, Yao, Guo, Li, Zhenyuan, Miao, HuiHui, Wang, Chenyu, Zhang, Yimin
• Format: Article
• Language: English
• Subjects: Assembly; Automation; Automotive Engineering; Classical Mechanics; Contact angle; Control; Deformation; Dynamic models; Dynamical Systems; Engineering; Error analysis; Load distribution (forces); Mechanical Engineering; Mechanical systems; Nonlinear dynamics; Numerical methods; Original Paper; Vibration
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-022-07345-2

It is industry tendency to accurately predict the dynamics of the mechanical systems with full consideration of errors. Based on the Hertz contact theory and general bearing modeling methods, this study proposed a more practical model using numerical method to investigate the influence of assembly error on the dynamics of linear guide slide platform. First, the modeling methods of five types of assembly errors are established, based on which, a nonlinear dynamic model is developed to investigate the influence of assembly error. In consideration of assembly error, the modeling method enables the sum of restoring forces and restoring moments equal to zero when no external load applied to the platform. Second, the simulation results indicate that the assembly error can cause uneven load distribution, change the dynamics of the system. In addition, different from previous research results, the stability of the system cannot be improved by simply increasing the preload. Last, in order to validate the proposed method, the proposed model is compared with previous fewer degrees-of-freedom model, and a series of experiments are conducted on a specialized platform to estimate the parameters of the system and verify the proposed model.