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Keywords: fluid-structure, acoustic cavity, finite element, velocity potential.

Summary

This work presents a symmetric finite element method for the solving fluid-structure interaction problem [1,2]. The formulation uses the velocity potential as nodal variables at the fluid domain and displacements at the solid. The coupling takes place at a common interface between both domains.

Although Lagrangean displacement formulations are easier to implement in displacement-based finite element programs, the proposed Eulerian formulation has some advantages. The first one is to avoid the spurious modes. The second advantage is that the potential velocity formulation provides symmetric linear systems, so the computing costs are reduced.

This work uses simple test cases, which can be compared to analytical solutions, to show the application of the symmetrical potential formulation, implemented in FEDYFE, an academic code. Each numerical result obtained with FEDYFE is compared to an equivalent analytical solution and also with the ANSYS [3] results.

The code FEDYDE (finite elements in dynamics and fluid-structure) was developed by a research group for dynamic and fluid-structure at University of Brazil (UnB-GDFE). It is based on finite elements applied to acoustic coupling problems [4].

In addition, this work presents an analytical approach to deal with simple bi-dimensional acoustic coupled problems. The analytical coupled frequency is obtained by the combination of transversal components. Similarly, the analytical coupled vibration modes were also being obtained by associating transversal modes.

References

1: C.G. Everstine, "A symmetric potential formulation for fluid-structure interaction", Journal of Sound and Vibration, letter to the editor, vol.79, 157-160, 1981.
2: L.G. Olson, K.J. Bathe, "Analysis of fluid-structure interaction. A direct symmetric coupled formulation based on the fluid velocity potencial", Computers & Structures, vol.21, no.1/2, 21-32, 1985. doi:10.1016/0045-7949(85)90226-3
3: ANSYS Version 5.4 Swanson Analysis Systems, Inc., Houston, PA, 1997.
4: A.N. Barbosa, "Uma Formulação Potencial Simétrica para o Cálculo Estático e Dinâmico de Problemas de Interação Fluido-Estrutura", Dissertação de Mestrado em Estruturas e Construção Civil, Publicação E.DM-008A/98, Departamento de Engenharia Civil e Ambiental, Universidade de Brasília, 1998.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 89 PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: M. Papadrakakis and B.H.V. Topping Paper 108 Examples of Problems in Fluid-Structure Interaction Based on the Fluid Velocity Potential S.M. Souza, A.N. Barbosa and L.J. Pedroso Civil Engineering Department, Faculty of Technology, Brasília University, Brazil doi:10.4203/ccp.89.108 purchase the full-text of this paper Full Bibliographic Reference for this paper S.M. Souza, A.N. Barbosa, L.J. Pedroso, "Examples of Problems in Fluid-Structure Interaction Based on the Fluid Velocity Potential", in M. Papadrakakis, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 108, 2008. doi:10.4203/ccp.89.108 Keywords: fluid-structure, acoustic cavity, finite element, velocity potential. Summary This work presents a symmetric finite element method for the solving fluid-structure interaction problem [1,2]. The formulation uses the velocity potential as nodal variables at the fluid domain and displacements at the solid. The coupling takes place at a common interface between both domains. Although Lagrangean displacement formulations are easier to implement in displacement-based finite element programs, the proposed Eulerian formulation has some advantages. The first one is to avoid the spurious modes. The second advantage is that the potential velocity formulation provides symmetric linear systems, so the computing costs are reduced. This work uses simple test cases, which can be compared to analytical solutions, to show the application of the symmetrical potential formulation, implemented in FEDYFE, an academic code. Each numerical result obtained with FEDYFE is compared to an equivalent analytical solution and also with the ANSYS [3] results. The code FEDYDE (finite elements in dynamics and fluid-structure) was developed by a research group for dynamic and fluid-structure at University of Brazil (UnB-GDFE). It is based on finite elements applied to acoustic coupling problems [4]. In addition, this work presents an analytical approach to deal with simple bi-dimensional acoustic coupled problems. The analytical coupled frequency is obtained by the combination of transversal components. Similarly, the analytical coupled vibration modes were also being obtained by associating transversal modes. References 1 C.G. Everstine, "A symmetric potential formulation for fluid-structure interaction", Journal of Sound and Vibration, letter to the editor, vol.79, 157-160, 1981. 2 L.G. Olson, K.J. Bathe, "Analysis of fluid-structure interaction. A direct symmetric coupled formulation based on the fluid velocity potencial", Computers & Structures, vol.21, no.1/2, 21-32, 1985. doi:10.1016/0045-7949(85)90226-3 3 ANSYS Version 5.4 Swanson Analysis Systems, Inc., Houston, PA, 1997. 4 A.N. Barbosa, "Uma Formulação Potencial Simétrica para o Cálculo Estático e Dinâmico de Problemas de Interação Fluido-Estrutura", Dissertação de Mestrado em Estruturas e Construção Civil, Publicação E.DM-008A/98, Departamento de Engenharia Civil e Ambiental, Universidade de Brasília, 1998. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £95 +P&P)
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