Vibration of initially stressed micro- and nano-beams

C. M. Wang, Yingyan Zhang, S. Kitipornchai

    Research output: Contribution to journalArticle

    71 Citations (Scopus)

    Abstract

    This paper is concerned with the vibration problem of initially stressed micro/nano-beams. The vibration problem is formulated on the basis of Eringen's nonlocal elasticity theory and the Timoshenko beam theory. The small scale effect is taken into consideration in the former theory while the effects of initial stress, transverse shear deformation and rotary inertia are accounted for in the latter theory. The governing equations and the boundary conditions are derived using the principle of virtual work. These equations are solved analytically for the vibration frequencies of micro/nano-beams with different initial stress values and boundary conditions. The effect of the initial stress on the fundamental frequency and vibration mode shape of the beam is investigated. The solutions obtained provide a better representation of the vibration behavior of initially stressed micro/nano-beams which are stubby and short, since the effects of small scale, transverse shear deformation and rotary inertia are significant and cannot be neglected.
    Original languageEnglish
    Pages (from-to)555-570
    Number of pages16
    JournalInternational Journal of Structural Stability and Dynamics
    Volume7
    Issue number4
    DOIs
    Publication statusPublished - 2007

    Keywords

    • laser beams
    • vibration

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