Piras, G.; Cleghorn, W. L.; Mills, J. K. Dynamic finite element analysis of a planar high-speed, high-precision parallel manipulator with flexible links. (English) Zbl 1077.70005 Mech. Mach. Theory 40, No. 7, 849-862 (2005). Summary: This paper presents the results of a dynamic finite element analysis of a planar fully parallel robot with flexible links. The method used leads to a set of linear ordinary differential equations of motion. Results show that, for a given high-speed motion, the configuration of the mechanism has a significant influence on the nature of the resultant elastic vibrations. This paper also includes a convergence analysis of the natural frequencies and a mapping of the first mode’s natural frequency with respect to the robot configuration. Cited in 11 Documents MSC: 70E60 Robot dynamics and control of rigid bodies 70-08 Computational methods for problems pertaining to mechanics of particles and systems 74H45 Vibrations in dynamical problems in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics Keywords:natural frequency; elastic vibrations PDFBibTeX XMLCite \textit{G. Piras} et al., Mech. Mach. Theory 40, No. 7, 849--862 (2005; Zbl 1077.70005) Full Text: DOI