Variational Principles for Bending and Vibration of Partially Composite Timoshenko Beams
Author(s) -
Halil Özer
Publication year - 2014
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2014/435613
Subject(s) - timoshenko beam theory , vibration , beam (structure) , bending , composite number , inverse , structural engineering , variational method , inverse problem , differential (mechanical device) , differential equation , mathematical analysis , mathematics , engineering , physics , geometry , acoustics , algorithm , aerospace engineering
Variational principles are established for the partially composite Timoshenko beam using the semi-inverse method. The principles are derived directly from governing differential equations for bending and vibration of the beam considered. It is concluded that the semi-inverse method is a powerful tool for searching for variational principles directly from the governing equations. Comparison between our results and the results reported in literature is given
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