tailieunhanh - Transient analysis of laminated composite plates using nurbs based isogeometric analysis

We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form of response analysis model for laminated composite plates is used to obtain the discrete system of equations. | Volume 36 Number 4 4 2014 Vietnam Journal of Mechanics, VAST, Vol. 36, No. 4 (2014), pp. 267 – 281 TRANSIENT ANALYSIS OF LAMINATED COMPOSITE PLATES USING NURBS-BASED ISOGEOMETRIC ANALYSIS Lieu B. Nguyen1 , Chien H. Thai2 , Ngon T. Dang1 , H. Nguyen-Xuan3,∗ 1 Ho Chi Minh City University of Technology and Education, Vietnam 2 Ton Duc Thang University, Ho Chi Minh City, Vietnam 3 Vietnamese-German University, Ho Chi Minh City, Vietnam ∗ E-mail: Received July 04, 2014 Abstract. We further study isogeometric approach for response analysis of laminated composite plates using the higher-order shear deformation theory. The present theory is derived from the classical plate theory (CPT) and the shear stress free surface conditions are naturally satisfied. Therefore, shear correction factors are not required. Galerkin weak form of response analysis model for laminated composite plates is used to obtain the discrete system of equations. It can be solved by isogeometric approach based on the non-uniform rational B-splines (NURBS) basic functions. Some numerical examples of the laminated composite plates under various dynamic loads, fiber orientations and lay-up numbers are provided. The accuracy and reliability of the proposed method is verified by comparing with analytical solutions, numerical solutions and results from Ansys software. Keywords: Transient analysis, laminated composite plate, isogeometric analysis, NURBS, Newmark integration. 1. INTRODUCTION The transient response of laminated composite plates has received much attention from designers due to increasing applications of composite in high performance aircraft, vehicles and vessels. Whether they are used in civil, marine or aerospace, most structures are subjected to dynamic loads during their operation. Therefore, there exists a need for assessing the natural frequency and transient response of structures. Many numerical methods have been developed to compute, analyze and simulate the