Nonstationary Parametric Responses Of Shear-Deformable Orthotropic Plates

    Authors

    C. H. Lu; R. Mao;R. M. Evaniwanowski

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    Abbreviated Journal Title

    J. Sound Vibr.

    Keywords

    INSTABILITY; Acoustics; Engineering, Mechanical; Mechanics

    Abstract

    Governing non-linear spatial-temporal partial differential equations are derived for rectangular orthotropic plates, taking into account transverse shear deformation-a significant factor in non-metallic structures. The resulting set of dynamic temporal equations of the Mathieu-Hill type has been served by using an asymptotic method for non-stationary linear and cyclic (fluctuating) variations of the forcing frequency, nu(t) = nu(0) + alpha t and nu(t) = A(0) + A(1) sin(alpha t + beta), where alpha, beta, A(0) and A(1) are constants. Significant new information has been obtained: (1) the effects of large transverse shear deformation on resonance responses; (2) the effects of phase phi (defined in the text) on non-stationary responses; (3) initial disturbance converging to a periodic loop in the case of cyclic frequency; (4) the penetration phenomenon; and (5) the appearance of the separatrices (defined in the text). (C) 1995 Academic Press Limited

    Journal Title

    Journal of Sound and Vibration

    Volume

    184

    Issue/Number

    2

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    329

    Last Page

    342

    WOS Identifier

    WOS:A1995RH47800010

    ISSN

    0022-460X

    Share

    COinS