The dynamic behaviour of elastic coaxial cylindrical shells conveying fluid |
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| Authors: | S.A. Bochkarev V.P. Matveyenko |
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| Affiliation: | 1. Mathematical Modeling and Control, Department of Mathematics, Faculty of Sciences and Techniques of Tangier, Abdelmalek Essaâdi University, BP 416, Tangier 90000, Morocco;2. Department of Mechanical Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;1. Center for Numerical Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University, Nanjing, Jiangsu 210098, China;2. Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung 202-14, Taiwan;3. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;1. National Institute for Laser, Plasma and Radiation Physics, RO-077125, Magurele, Bucharest, Romania;2. Faculty of Applied Sciences, University Politehnica of Bucharest, RO-060042, Bucharest, Romania;3. Department of Biochemistry, Faculty of Dentistry, UMF Carol Davila, Bucharest, Romania;1. School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan 430074, China;2. Faculty of Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK |
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| Abstract: | The dynamic behaviour of elastic coaxial cylindrica shells, which interact with a flow of compressible fluid in the inner shell or in the annular gap between the shells when both flows are present, is investigated by the finite element method. A number of test problems is considered in the case of cantilevered coaxial shells. The effect on the stability limit of the gap between the two shells is investigated for different values of the stiffness parameters of the outer shell and the fluid flow. An important difference is found with existing solutions in cases when the loss of stability of the coaxial shells occurs at higher oscillation modes. It is established that, for a certain value of the gap between the shells, the elasticity of the outer shell may have a stabilizing effect. It is shown that the presence of internal and annular flows simultaneously has a considerable stabilizing effect, while a loss of stability when the flow rates increase occurs at extremely high oscillation modes. |
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