On the modeling of dynamic behavior of composite plates using a simple nth-HSDT

I. Klouche Djedid , Kada Draiche , B. Guenaneche , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , E.A. Adda Bedia

Abstract

In the present paper, a simple refined nth-higher-order shear deformation theory is applied for the free vibration analysis of laminated composite plates. The proposed displacement field is based on a novel kinematic in which include the undetermined integral terms and contains only four unknowns, as against five or more in case of other higher-order theories. The present theory accounts for adequate distribution of the transverse shear strains through the plate thickness and satisfies the shear stress-free boundary conditions on the top and bottom surfaces of the plate, therefore, it does not require problem dependent shear correction factor. The governing equations of motion are derived from Hamilton\'s s principle and solved via Navier-type to obtain closed form solutions. The numerical results of non-dimensional natural frequencies obtained by using the present theory are presented and compared with those of other theories available in the literature to verify the validity of present solutions. It can be concluded that the present refined theory is accurate and efficient in predicting the natural frequencies of isotropic, orthotropic and laminated composite plates.

Key Words

nth-higher-order theory; free vibration; laminated composite; Hamilton\'s principle

Address

I. Klouche Djedid — Departement de Genie Civil, Universite Ibn Khaldoun Tiaret, BP 78Zaaroura, 1400 Tiaret, Algerie
Kada Draiche — Departement de Genie Civil, Universite Ibn Khaldoun Tiaret, BP 78Zaaroura, 1400 Tiaret, Algerie; Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
B. Guenaneche — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-echelle, Departement de Physique, Faculte des Sciences Exactes, Departement de Physique, Universite de Sidi Bel Abbes, Algeria; Centre Universitaire Ahmed Zabana de Relizane, Algeria
Abdelouahed Tounsi — 2Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
E.A. Adda Bedia — Centre of Excellence for Advanced Materials Research, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

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