DQEM for free vibration analysis of Timoshenko beams on elastic foundations |
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Authors: | P Malekzadeh G Karami M Farid |
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Affiliation: | (1) Department of Mechanical Engineering, Shiraz University, Shiraz 71345, Iran e-mail: karami@uwyo.edu, IR |
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Abstract: | A differential quadrature element method (DQEM) based on first order shear deformation theory is developed for free vibration
analysis of non-uniform beams on elastic foundations. By decomposing the system into a series of sub-domains or elements,
any discontinuity in loading, geometry, material properties, and even elastic foundations can be considered conveniently.
Using this method, the vibration analysis of general beam-like structures is to be studied. The governing equations of each
element, natural compatibility conditions at the interface of two adjacent elements and the external boundary conditions are
developed in a systematic manner, using Hamilton's principle. The present DQEM is to be implemented to Timoshenko beams resting
on partially supported elastic foundations with various types of boundary conditions under the action of axial loading. The
general versality, accuracy, and efficiency of the presented DQEM are demonstrated having solved different examples and compared
to the exact or other numerical procedure solutions.
Received: 11 October 2002/Accepted: 26 November 2002 |
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Keywords: | DQ DQEM Timoshenko beam Vibration Elastic foundation |
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