15th International Conference on Composite Structures , 2009-06-15

Title : ( Analytical Approach to Free Vibration of Cracked Timoshenko Beams Made of Functionally Graded Materials )

Authors: Hamid Zabihi Ferezqi , Masoud Tahani , Hamid Ekhteraei Toussi ,

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This paper presents an analytical investigation in the free vibration of a cracked Timoshenko beam made up of functionally graded materials (FGMs). A crack is modeled by a rotational spring and the perspective of wave method is adopted for the analysis. The method considers the nature of the propagation and reflection of the waves along the beam. Consequently, the propagation, transmission and reflection matrices for various discontinuities such as crack, boundary barrier or change in section, which is located on a beam are derived. By combining these matrices a global frequency matrix is formed. The obtained characteristic equation is solved analytically to achieve the natural frequencies.

Keywords

, Wave method, Free vibration, Timoshenko beam, FGM,
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@inproceedings{paperid:1012250,
author = {Zabihi Ferezqi, Hamid and Tahani, Masoud and Ekhteraei Toussi, Hamid},
title = {Analytical Approach to Free Vibration of Cracked Timoshenko Beams Made of Functionally Graded Materials},
booktitle = {15th International Conference on Composite Structures},
year = {2009},
location = {Porto},
keywords = {Wave method; Free vibration; Timoshenko beam; FGM; Crack},
}

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%0 Conference Proceedings
%T Analytical Approach to Free Vibration of Cracked Timoshenko Beams Made of Functionally Graded Materials
%A Zabihi Ferezqi, Hamid
%A Tahani, Masoud
%A Ekhteraei Toussi, Hamid
%J 15th International Conference on Composite Structures
%D 2009

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