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Structural Engineering and Mechanics Volume 6, Number 7, October 1998 , pages 727-746 DOI: https://doi.org/10.12989/sem.1998.6.7.727 |
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Analysis of composite plates using various plate theories - Part 2: Finite element model and numerical results |
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Bose P, Reddy JN
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| Abstract | ||
| Finite element models and numerical results are presented for bending and natural vibration using the unified third-order plate theory developed in Part 1 of this paper. The unified third-order theory contains the classical, first-order, and other third-order plate theories as special cases. Analytical solutions are developed using the Navier and Levy solution procedures (see Part 1 of the paper). Displacement finite element models of the unified third-order theory are developed herein. The finite elelment models are based on C-0 interpolation of the inplane displacements and rotation functions and C-1 interpolation of the transverse deflection. Numerical results of bending and natural vibration are presented to evaluate the accuracy of various plate theories. | ||
| Key Words | ||
| finite element model, analytical solutions, bending, vibration, shear deformation, third-order theory | ||
| Address | ||
| Bose P, Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA | ||