This paper presents a methodology for accurate free vibration analysis of planar flexible mechanisms. Each flexible body is considered as a beam and modelled using higher-order beam elements for longitudinal and flexural deformations. The global equations of motion for a mechanism consisting of multiple flexible bodies are formulated using the augmented Lagrange equations. Free vibration analyses are conducted at desired fast Fourier configurations to determine instantaneous structural natural frequencies and structural mode shapes. Dynamical frequencies and dynamical mode shapes incorporating the gyroscopic effects and dynamic axial loads are obtained using the modal summation method. Numerical results and comparisons are given for a rotating beam and two four-bar crank-rocker mechanisms.
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December 2003
Technical Papers
Free Vibration Analysis of Planar Flexible Mechanisms
S. D. Yu, Associate Professor, Mem. ASME,
e-mail: syu@ryerson.ca
S. D. Yu, Associate Professor, Mem. ASME
Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, Canada M5B 2K3
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F. Xi, Associate Professor
F. Xi, Associate Professor
Department of Aerospace Engineering, Ryerson University, Toronto, Ontario, Canada M5B 2K3
Search for other works by this author on:
S. D. Yu, Associate Professor, Mem. ASME
Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, Canada M5B 2K3
e-mail: syu@ryerson.ca
F. Xi, Associate Professor
Department of Aerospace Engineering, Ryerson University, Toronto, Ontario, Canada M5B 2K3
Contributed by the Design Automation Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 2001; rev. March 2003. Associate Editor: H. Lankarani.
J. Mech. Des. Dec 2003, 125(4): 764-772 (9 pages)
Published Online: January 22, 2004
Article history
Received:
June 1, 2001
Revised:
March 1, 2003
Online:
January 22, 2004
Citation
Yu, S. D., and Xi, F. (January 22, 2004). "Free Vibration Analysis of Planar Flexible Mechanisms ." ASME. J. Mech. Des. December 2003; 125(4): 764–772. https://doi.org/10.1115/1.1626130
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