tailieunhanh - Vibration analysis of cross ply laminated composite doubly curved shallow shell panels with stiffeners

In this paper, the analytical solution for the cross-ply laminated composite double curved shell panels with stiffeners is presented. The motion equations are derived by applying the Hamilton’s principle, the smeared stiffeners technique, and using the first shear deformation theory (FSDT). | Vietnam Journal of Science and Technology 55 (3) (2017) 382-392 DOI: VIBRATION ANALYSIS OF CROSS-PLY LAMINATED COMPOSITE DOUBLY CURVED SHALLOW SHELL PANELS WITH STIFFENERS Trinh Anh Tuan1, *, Tran Minh Tu2, Tran Huu Quoc2, Nguyen Van Loi2 1 2 HSE Training and Design Consultancy Company Limited, 36B, 51 Lane, Doc Ngu Str., Ba Dinh Dist., Ha Noi National University of Civil Engineering, 55 Giai Phong Road, Hai Ba Trưng District, Ha Noi * Email: tpnt2002@ Received: 30 October 2016; Accepted for publication: 14 March 2017 ABSTRACT In this paper, the analytical solution for the cross-ply laminated composite double curved shell panels with stiffeners is presented. The motion equations are derived by applying the Hamilton’s principle, the smeared stiffeners technique, and using the first shear deformation theory (FSDT). The Navier’s solution for the simply supported boundary condition both ends is presented. The accuracy of the results is compared with those in the existing literature and shows good achievement. The effects of the number of stiffeners, dimensions of stiffeners, and lamination scheme of cross-ply laminated composite shell panels on the natural fundamental frequencies are investigated. Keywords: vibration analysis, cross-ply laminated composite, doubly curved shallow shell, stiffened shell, first shear deformation theory. 1. INTRODUCTION Laminated composite shells are widely used in various engineering branches due to many advantages in comparing with conventional metallic materials such as higher strength-to-weight and stiffness-to-weight ratios, improved chemical and environmental resistance, durability and the ability to tailor properties. Shell structures reinforced by stringers (x-direction) and rings (ydirection) to achieve greater strength with the economy of the material. Hence, they have gained many applications in civil, mechanical, and aerospace engineering (., commercial vehicles, aircraft .