Generalized mixed variational formula for the analysis of laminated plates

Ashraf M. Zenkour

doi:10.1117/12.305606

16 April 1998 Generalized mixed variational formula for the analysis of laminated plates

Ashraf M. Zenkour

Proceedings Volume 3321, 1996 Symposium on Smart Materials, Structures, and MEMS; (1998) https://doi.org/10.1117/12.305606
Event: Smart Materials, Structures and MEMS, 1996, Bangalore, India

Abstract

A generalized mixed variational formula based upon Hamilton's principle is obtained by using Legender's transformation and Lagrange's multipliers. It is generally used to deduce the governing equations for laminated composite structures. A rational higher-order displacement- based 2D theory for the analysis of laminated plates is presented. This theory is established using the generalized mixed variational formula to study the vibration behavior of symmetric laminated orthotropic plates subjected to normal traction fields. Fundamental frequencies are obtained according to the classical, first- and higher-order plate theories. The effects of boundary conditions, transverse shear, aspect ratio, and materials anisotropy on natural frequencies are investigated. Results are compared with other exact results available in the literature.

Citation Download Citation

Ashraf M. Zenkour "Generalized mixed variational formula for the analysis of laminated plates", Proc. SPIE 3321, 1996 Symposium on Smart Materials, Structures, and MEMS, (16 April 1998); https://doi.org/10.1117/12.305606

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