Solving Two Classical Fluid-Structure Interaction Problem Utilizing Differential Transform Method

Authors

1 Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad.

2 Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Iran

Abstract

Up to now, several analytical and numerical methods are proposed for free vibration analysis of fluid-structure interaction systems. Concrete gravity or arch dam-reservoir systems and the fluid containers in various shapes, such as rectangular, cylindrical or spherical shapes are the most well-known instances of these “coupled” systems. It should be emphasized that the governing equations of both fluid and structural parts of these coupled systems should be solved simultaneously. In the present article, two classical fluid-structure interaction (FSI) problems, including one-dimensional compressible fluid domain and one or two single degree of freedom (SDOF) system(s) as structural part, are solved in free vibration situation by using differential transform method (DTM). To this end, the solution process is thoroughly described and the numerical results, involving natural frequencies and mode shapes of both systems are obtained in detail. Moreover, to verify the DTM results, the closed-form solution is comprehensively derived for both systems.

Keywords

References

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Journal of Solid and Fluid Mechanics
Volume 10, Issue 3
October 2020
Pages 17-30

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