Nonlinear vibration of edge cracked functionally graded Timoshenko beams

Sritawat Kitipornchai, Liaoliang Ke, Jie Yang, Yang Xiang

    Research output: Contribution to journalArticle

    183 Citations (Scopus)

    Abstract

    Nonlinear vibration of beams made of functionally graded materials (FGMs) containing an open edge crack is studied in this paper based on Timoshenko beam theory and von Kármán geometric nonlinearity. The cracked section is modelled by a massless elastic rotational spring. It is assumed that material properties follow exponential distributions through beam thickness. The Ritz method is employed to derive the governing eigenvalue equation which is then solved by a direct iterative method to obtain the nonlinear vibration frequencies of cracked FGM beams with different end supports. A detailed parametric study is conducted to study the influences of crack depth, crack location, material property gradient, slenderness ratio, and end supports on the nonlinear free vibration characteristics of cracked FGM beams. It is found that unlike isotropic homogeneous beams, both intact and cracked FGM beams show different vibration behaviour at positive and negative amplitudes due to the presence of bending–extension coupling in FGM beams.
    Original languageEnglish
    Pages (from-to)962-982
    Number of pages21
    JournalJournal of Sound and Vibration
    Volume324
    Issue number3
    DOIs
    Publication statusPublished - 2009

    Keywords

    • Timoshenko beams
    • Von Kármán equations
    • composite construction
    • cracking
    • functionally gradient materials
    • vibration

    Fingerprint

    Dive into the research topics of 'Nonlinear vibration of edge cracked functionally graded Timoshenko beams'. Together they form a unique fingerprint.

    Cite this