2D Extended Saint-Venant's Principle for Free Vibration Analysis of General Anisotropic Laminated Plates

초록

The methodology to improve the stress prediction of beam structures developed by Kim and Cho was extended to free vibration analysis of laminated composite plates. A prediction for the dynamic responses of a composite structure is crucial in the high frequency range due to the shear deformation effects. The classical first-order shear deformation theory (FSDT) can consider shear deformation effects, but it requires the calculation of accurate shear correction factors (SCFs) owing to geometric and material configurations. To overcome this issue, we have proposed a postprocess method that does not require this data. In this methodology, perturbation terms and warping functions are employed in the displacement fields of classical lamination theory (CLT). Warping terms considering the three-dimensional effects through the thickness are obtained by the three-dimensional stress equilibrium equations. Perturbed terms to satisfy the static equivalence are then calculated by comparing the stress resultants between CLT and improved CLT (I-CLT). To verify this approach, various numerical examples are tested by comparing with the results of the FSDT.

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