Application of the Reissner Method to a Timoshenko Beam

[+] Author and Article Information
J. S. Rao

Indian Institute of Technology, New Delhi-110029 India

S. V. Kulkarni, K. B. Subrahmanyam

Mechanical Engineering Department, Regional Engineering College, Kurukshetra-132119 India

J. Appl. Mech 48(3), 672-673 (Sep 01, 1981) (2 pages) doi:10.1115/1.3157699 History: Received May 01, 1980; Revised November 01, 1980; Online July 21, 2009


The Reissner and the potential energy methods have been applied to a Timoshenko beam vibrating in flexure. Frequency equations are developed using shape functions for bending moment, shearing force, deflection, and slope in series form through the Ritz process. Natural frequencies and mode shapes are obtained and comparison is made between the results of the two approaches from which it is observed that the Reissner method indicates a quicker convergence and gives better mode shapes.

Copyright © 1981 by ASME
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