A New Exact Analytical Approach for In-Plane and Transverse Vibration of Thick Laminated Plates


In this article, the governing equations of motion of thick laminated transversely isotropic plates are derived based on Reddy's third-order shear deformation theory. These equations are exactly converted to four uncoupled equations to study the in-plane and out-of-plane free vibrations of thick laminated plates without any usage of approximate methods. Based on the present analytical approach, exact Levy-type solutions are obtained for thick laminated transversely isotropic plates. The present solutions can accurately predict both the in-plane and transverse natural frequencies and mode shapes of thick laminated transversely isotropic plates.

  • Abstract
  • Key Words
  • 1 Introduction
  • 2. Governing Equations
  • 3. Solution Methodology
  • 4. Application to Rectangular Plates
  • 5. Results and Discussion
  • 6. Summaries
  • References

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