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  Volume 3, Number 3, August 2021 , pages 179-199
 open access

Free vibration of laminated composite plates in thermal environment using a simple four variable plate theory
Hussein T. Yahea and Widad I. Majeed

    A simple solution for free vibration of cross-ply and angle-ply laminated composite plates in a thermal environment is investigated using a basic trigonometric shear deformation theory. By application of trigonometric four variable plate theory, the transverse displacement is subdivided into bending and shear components, the present theory's number of unknowns and governing equations is reduced, making it easier to use. Hamilton's Principle is extended to derive the equations of motion of the plates using Navier's double trigonometric series, a closed-form solution is obtained; the primary conclusion is that simple solution is obtained with good results accuracy when compared with previously published results, and the natural frequency will differ depending on, environment temperature, thickness ratio, and lamination angle, as well as the aspect ratio of the plate.
Key Words
    four variables; free vibration; laminated composite plate; thermal environment
Hussein T. Yahea and Widad I. Majeed: Department of Mechanical Engineering, College of Engineering, University of Baghdad, Baghdad, Republic of Iraq

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