In-Plane Vibration of Annular Disks Using Finite Elements

[+] Author and Article Information
V. Srinivasan

Department of Mechanical Engineering, Indian Institute of Technology, Madras, India

V. Ramamurti

Department of Applied Mechanics, Indian Institute of Technology, Madras, India

J. Mech. Des 102(3), 585-588 (Jul 01, 1980) (4 pages) doi:10.1115/1.3254789 History: Received June 27, 1979; Online November 17, 2009


The axisymmetric and asymmetric in-plane, free vibration of annular disks using the finite element method is discussed. The in-plane behavior is analyzed by annular ring segments using a Fourier series approach to model the problem asymmetries. Using displacement functions which are exact solutions to the in-plane static problem, the stiffness matrices corresponding to the 0 th, 1st and nth harmonics are derived. By assuming that the static displacement functions closely represent the vibration modes, the mass matrices for various harmonics are also derived. These matrices can be readily coded into any special or general purpose structural analysis computer programs. Results of example problems are compared with exact solutions.

Copyright © 1980 by ASME
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