Parametric instability of functionally graded Timoshenko beams with an open edge crack

Jie Yang, Sritawat Kitipornchai, Yang Xiang

    Research output: Chapter in Book / Conference PaperConference Paper

    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 languageEnglish
    Title of host publicationISCM 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
    PublisherAmerican Institute of Physics
    Pages107-112
    Number of pages6
    ISBN (Print)9780735407787
    Publication statusPublished - 2009
    EventInternational 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

    ConferenceInternational 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)
    Period1/01/09 → …

    Keywords

    • beams
    • Timoshenko beam theory

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