Abstract
![CDATA[This paper studies the parametric instability of functionally graded beams with open edge cracks subjected to an axial excitation. The beam is clamped at both ends and movable in the longitudinal direction with materials properties varying exponentially through the thickness direction. Theoretical formulations are based on Timoshenko beam theory and the linear rotational spring model. The governing equations of motion are derived by using the Hamilton's principle and solved by using Galerkin's technique and the Least Squares method. The boundary points on the unstable regions are determined by Bolotin's method. Numerical results are presented to show the influences of crack location, crack depth, material property gradient, and beam slenderness ratio on the principal unstable region of the cracked functionally graded beams.]]
Original language | English |
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Title of host publication | ISCM II and EPMESC XII : Proceedings of the 2nd International Symposium on Computational Mechanics and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, Hong Kong-Macau, China, 30 November-3 December 2009 |
Publisher | American Institute of Physics |
Pages | 107-112 |
Number of pages | 6 |
ISBN (Print) | 9780735407787 |
Publication status | Published - 2009 |
Event | International Symposium on Computational Mechanics (ISCM II) in conjunction with the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC XII) - Duration: 1 Jan 2009 → … |
Conference
Conference | International Symposium on Computational Mechanics (ISCM II) in conjunction with the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC XII) |
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Period | 1/01/09 → … |
Keywords
- beams
- Timoshenko beam theory