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CivilComp Proceedings
ISSN 17593433 CCP: 91
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: B.H.V. Topping, L.F. Costa Neves and R.C. Barros
Paper 257
Hybrid Elements in FluidStructure Interaction Analysis of Plates and Shells Y. Kerboua^{1}, A.A. Lakis^{1}, M. Thomas^{2}, L. Marcouiller^{3} and M.H. Toorani^{4}
^{1}Department of Mechanical Engineering, École Polytechnique of Montréal, Canada
Y. Kerboua, A.A. Lakis, M. Thomas, L. Marcouiller, M.H. Toorani, "Hybrid Elements in FluidStructure Interaction Analysis of Plates and Shells", in B.H.V. Topping, L.F. Costa Neves, R.C. Barros, (Editors), "Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing", CivilComp Press, Stirlingshire, UK, Paper 257, 2009. doi:10.4203/ccp.91.257
Keywords: fluidstructure interaction, hybrid element, plates, shells.
Summary
Plates and shells constitute important components of complex structures and are of great significance to modern construction engineering, aerospace and aircraft structures, nuclear power plant components, naval structures to name a few. In the most of industrial applications, these structures are in contact with fluid media. The forces generated by violent fluidstructure contacts can be very high; they are stochastic in nature and thus difficult to describe. They do, however, often constitute the design loading for the structure. Hydrodynamic pressure is generated by the vibrating structure, and this pressure will modify the structural deformation, which, in turn, will modify the hydrodynamic pressure that caused them. This is tightly coupled elastodynamic problem in which the structure and fluid form a single system. Solution of this type of problems is obviously complex and technically challenging.
This paper outlines the development of a computational model in order to analyze the dynamic responses of coupled fluidstructure systems e.g. the liquid containers, a set of parallel or radial plates. The mathematical model is developed using a hybrid fluidsolid element, which is a combination of the finite element method and Sanders' shell theory. This theory is an extension of that expounded by Lakis and Paidoussis [1,2]. The membrane and bending displacement components are modelled using bilinear polynomials and an exponential function, respectively, which represent a general form of exact solution of the equations of motion. The mass and stiffness matrices are then determined by exact analytical integration in order to establish the structural dynamic equations. The velocity potential and Bernoulli's equation are adopted to express the fluid pressure acting on the structure. The product of the pressure expression and the structural shape function developed is integrated over the structurefluid interface to assess the virtual added mass, stiffness and damping due to the fluid. Detailed equations can be found in [3,4] A number of examples is presented in the dynamic analysis of both plate and shell structures in air or subjected to stationary or flowing fluid forces. The effect of various physical and geometrical parameters on the dynamic responses of various structures e.g. 'n' parallel or radial plates, open and closed rectangular reservoirs, and cylindrical shells have been explored in this work. The results are in satisfactorily agreement with those of experiments and other theories. References
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