Thermomechanical vibration analysis of a functionally graded shell with flowing fluid |
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| Affiliation: | 1. School of Naval Architecture, Ocean and Civil Engineering (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University, Shanghai 200240, People''s Republic of China;2. School of Bridge and Structure Engineering, Changsha University of Science and Technology, Changsha, Hunan 410076, People''s Republic of China;1. State Key Laboratory of Structure Analysis of Industrial Equipment and Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, PR China;2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China;1. Advanced Materials and Structures Laboratory, VNU-Hanoi, University of Engineering and Technology, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam;2. Centre for Informatics and Computing (CIC), Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet - Cau Giay, Hanoi, Vietnam;3. Department of Infrastructure Engineering, The University of Melbourne, Parkville 3010, VIC, Australia;4. Military Academy of Logistics, Ngoc Thuy, Long Bien, Hanoi, Vietnam;1. College of Information Technology, Shanghai Ocean University, 999 Huchenghuan Road, Shanghai 201306, China;2. College of Civil Engineering, Hunan University, 1 South Lushan Road, China;3. Department of Civil and Architectural Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong;1. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada;2. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | This paper reports the results of an investigation into the vibration of functionally graded cylindrical shells with flowing fluid, embedded in an elastic medium, under mechanical and thermal loads. By considering rotary inertia, the first-order shear deformation theory (FSDT) and the fluid velocity potential, the dynamic equation of functionally graded cylindrical shells with flowing fluid is derived. Here, heat conduction equation along the thickness of the shell is applied to determine the temperature distribution and material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The equations of eigenvalue problem are obtained by using a modal expansion method. In numerical examples, effects of material composition, thermal loading, static axial loading, flow velocity, medium stiffness and shell geometry parameters on the free vibration characteristics are described. The new features in this paper are helpful for the application and the design of functionally graded cylindrical shells containing fluid flow. |
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