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A matlab program is coded using the CE formulation. Numerical results on natural frequencies are validated with the available results in other investigations. The effects of the fluid level, semi-vertex angles and lamination sequences on the natural frequencies and circumferential wave number of joined composite conical-conicalconical shells are investigated. | Journal of Science and Technology 54 (5) (2016) 650-563 DOI: 10.15625/0866-708X/54/5/7684 FREE VIBRATION ANALYSIS OF JOINED COMPOSITE CONICAL-CONICAL-CONICAL SHELLS CONTAINING FLUID Vu Quoc Hien1, *, Tran Ich Thinh2, Nguyen Manh Cuong2, Pham Ngoc Thanh1 1 2 Viet Tri University of Industry, Tien Son street, Viet Tri City Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Ha Noi * Email: vuquochien47@gmail.com Received: 7 January 2016; Accepted for publication: 20 May 2016 ABSTRACT A continuous element (CE) formulation has been presented in this paper for the vibration analysis of three joined cross-ply composite conical shells containing fluid. The three joined cross-ply composite conical shells containing fluid can be considered as the general case for joined conical-cylindrical-conical, joined cylindrical-conical-cylindrical, joined cylindricalconical-conical and joined conical-conical-cylindrical shells containing fluid. Governing equations are obtained using Midlin thick shell theory, taking into account the shear deformation effects. The velocity potential, Bernoulli’s equation and impermeability condition have been applied to the shell-fluid interface to obtain an explicit expression for fluid pressure, the dynamic stiffness matrix has been built from which natural frequencies have been calculated. The appropriate expressions among stress resultants and deformations are extracted as continuity conditions at the joining section. A matlab program is coded using the CE formulation. Numerical results on natural frequencies are validated with the available results in other investigations. The effects of the fluid level, semi-vertex angles and lamination sequences on the natural frequencies and circumferential wave number of joined composite conical-conicalconical shells are investigated. Keywords: free vibration, cross-ply composite joined conical-conical-conical shells, dynamics stiffness matrix, continuous element method. 1. .
