Nonlinear vibration of composite shell subjected to resonant excitations

    Authors

    J. F. Nayfeh;N. J. Rivieccio

    Comments

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    Abbreviated Journal Title

    J. Aerosp. Eng.

    Keywords

    CURVED ORTHOTROPIC PANELS; FIBER-REINFORCED TORI; Engineering, Aerospace; Engineering, Civil

    Abstract

    Analysis of the vibration of a shallow, simply supported, nonsymmetric unbalanced cross-ply laminated, circular cylindrical composite shell is presented. The subject is particularly relevant, considering the widespread use of cylindrical shell structures in engineering applications. This research applies the discretized Lagrangian/method of multiple scales solution technique. The Donnell shallow shell strain-displacement relations and the single-mode displacement field from the linear eigenvalue problem are applied. The system Lagrangian is developed and integrated over the spatial domain and then substituted into Lagrange's equation. The resulting equation of motion is a second-order temporally nonlinear ordinary differential equation in the form of the Duffing oscillator. The natural frequency, the coefficient of the cubic nonlinearity, and the strength of the nonlinearity are investigated. The method of multiple scales is applied to the nonlinear equation of motion in order to analyze the frequency response. Primary resonance, subharmonic resonance, and superharmonic resonance are analyzed.

    Journal Title

    Journal of Aerospace Engineering

    Volume

    13

    Issue/Number

    2

    Publication Date

    1-1-2000

    Document Type

    Article

    Language

    English

    First Page

    59

    Last Page

    68

    WOS Identifier

    WOS:000086105300004

    ISSN

    0893-1321

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