On the free vibration response of laminated composite plates via FEM

Mohammed Sehoul , Soumia Benguediab , Mohamed Benguediab , Mahmoud M. Selim , Fouad Bourada , Abdelouahed Tounsi , Muzamal Hussain

Abstract

In this research paper, the free vibrational response of laminated composite plates is investigated using a non-polynomial refined shear deformation theory (NP-RSDT). The most interesting feature of this theory is the parabolic distribution of transverse shear deformations while ensuring the conditions of nullity of shear stresses at the free surfaces of the plate without requiring the Shear correction factor "Ks". A fourth-nodded isoparametric element with four degrees of freedom per node is employed for laminated composite plates. The numerical analysis of simply supported square anti-symmetric cross-ply and angle-ply laminated plate is carried out using a special discretization based on four-node finite element method which four degrees of freedom per node. Several numerical results are presented to show the effect of the coupling parameters of the plate such as the modulus ratios, the thickness ratio and the plate layers number on adimensional eigen frequencies. All numerical results presented using the current finite element method (FEM) is presented in 3D curve form.

Key Words

laminated composite plates; free vibration; refined plate theory; finite element method, eigen frequencies

Address

Mohammed Sehoul — Laboratory of Materials and Reactive Systems, Department of mechanical Engineering, University of Sidi Bel Abbes, Faculty of Technology, Algeria; Département de Technologie, Centre Universitaire Nour Bachir. EL Bayadh, BP 900 El Bayadh 32000 Algeria
Soumia Benguediab — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Université Dr Tahar Moulay, Faculté de Technologie, Département de Génie Civil et Hydraulique, BP 138 Cité En-Nasr 20000 Saida, Algérie
Mohamed Benguediab — Laboratory of Materials and Reactive Systems, Department of mechanical Engineering, University of Sidi Bel Abbes, Faculty of Technology, Algeria
Mahmoud M. Selim — Department of Mathematics, Al-Aflaj College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Aflaj 710-11912 Saudi Arabia
Fouad Bourada — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; Département des Sciences et de la Technologie, université de Tissemsilt, BP 38004 Ben Hamouda, Algeria
Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan

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