Identifying the coupled system natural frequencies and dynamic behavior of systems in the presence of fluid-structure interaction is one of the most important issues in the engineering design of buildings, road vehicles and aircraft. This paper presents an efficient and flexible finite element procedure using fully vectorized codes in MATLAB for the free and forced vibration analysis of a rectangular plate in contact with the fluid. The 4-node MITC plate finite element (MITC4) based on the Mindlin plate theory is used to simulate the plate, while the 8-node acoustic pressure element is used to simulate the fluid. The fluid is assumed to be compressible and non-viscous. The derived system of equations using structural displacements and fluidic pressure yields a non-symmetric system of equations. Solving the generalized eigenvalue problems for the non-symmetric system is more computational intensive compared to solving the generalized eigenvalue problem for symmetric systems. The modal expansion technique is used to reduce the model size. Then the reduced non-symmetric system is symmetrized by right eigenvectors. The Newmark method is used to solve the forced vibration problem of the coupled systems. The natural frequencies and transient responses are in good agreement with those obtained from the commercial finite element software.


E\ufb03cient and Flexible Finite Element Procedure for Free and Forced Vibration Problems of a Plate Coupled With Fluid

Division / Sponsors: 
Pressure Vessels & Piping (PVP)


Paper Proceedings: https://asmedigitalcollection.asme.org/PVP/PVP2020/volume/83815

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