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Equivalent Single Layer Models in Free Vibration Analysis of Laminated Multi-Layered Plates

Faculty of Civil and Environmental Engineering, Gdansk University of Technology, G. Narutowicza 11/12, 80-233 Gdańsk, Poland

E-mail Address: ireneusz.kreja@pg.edu.pl

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Agnieszka Sabik

Faculty of Civil and Environmental Engineering, Gdansk University of Technology, G. Narutowicza 11/12, 80-233 Gdańsk, Poland

E-mail Address: agnieszka.sabik@pg.edu.pl

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https://doi.org/10.1142/S0219455420430087Cited by:4 (Source: Crossref)

This article is part of the issue:

IJSSD Special Issue in Celebration of the 75th Anniversary of Professor J. N. Reddy
Guest Editor: C. W. Lim

Abstract

The performance of selected equivalent single-layer (ESL) models is evaluated within several classical benchmark tests for small amplitude free vibration analysis of multi-layered plates. The authors elaborated their own Finite Element software based on the first-order shear deformation (FOSD) theory with some modifications incorporated including a correction of the transverse shear stiffness and an application of zigzag type functions. Seven different ESL models were considered in the study; beside the classical FOSD model, there were three FOSD models with various transverse shear corrections and three ESL models enhanced by the application of zigzag functions and based on Reissner’s Mixed Variational Theorem.

This work is dedicated to Professor Junuthula N. Reddy on the occasion of his $75$ th anniversary. Professor Reddy’s publications have been a remarkable inspiration for many researchers, including the authors of this work, to explore the secrets of composite panels’ analysis.

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