Open AccessNonlinear Elastodynamic Behaviour Analysis of High-Speed Spatial Parallel Coordinate Measuring Machines
Author(s) -
Xiulong Chen,
Wei De-yong,
Wenbin Li,
Yu Deng
Publication year - 2012
Publication title -
international journal of advanced robotic systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 46
eISSN - 1729-8814
pISSN - 1729-8806
DOI - 10.5772/52148
Subject(s) - nonlinear system , computer science , kinematics , finite element method , flexibility (engineering) , vibration , coupling (piping) , degrees of freedom (physics and chemistry) , control theory (sociology) , base (topology) , newmark beta method , coordinate system , dynamics (music) , structural engineering , acoustics , mathematical analysis , mathematics , mechanical engineering , physics , classical mechanics , artificial intelligence , control (management) , engineering , statistics , quantum mechanics
In order to study the elastodynamic behaviour of 4‐ universal joints‐ prismatic pairs‐ spherical joints / universal joints‐ prismatic pairs‐ universal joints 4‐UPS‐UPU high‐speed spatial PCMMs(parallel coordinate measuring machines), the nonlinear time‐varying dynamics model, which comprehensively considers geometric nonlinearity and the rigid‐flexible coupling effect, is derived by using Lagrange equations and finite element methods. Based on the Newmark method, the kinematics output response of 4‐UPS‐UPU PCMMs is illustrated through numerical simulation. The results of the simulation show that the flexibility of the links is demonstrated to have a significant impact on the system dynamics response. This research can provide the important theoretical base of the optimization design and vibration control for 4‐UPS‐UPU PCMMs