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Study of Free Vibrating Structures Coupled with Fluid


Affiliations
1 Department of Mathematics, National Institute of Technology, Hamirpur (H.P.), 177005, India
     

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Vibrations of circular plates in contact with inviscid liquid are studied. The wet dynamic displacement of the plate is approximated by combining the orthogonal modal functions of a dry circular plate with a clamped boundary condition. Various boundary conditions for the plate have been observed and the wet dynamic modal functions of the plate are derived by using a compatibility requirement along the contacting surface between the plate and the liquid. The kinetic energy and potential energy of the system is analytically evaluated for plate and incompressible liquid. Rayleigh–Ritz method is used to find the natural frequencies and mode shapes for symmetric and asymmetric modes.

Keywords

Free Vibration, Circular Plate, Velocity Potential, Rayleigh-Ritz Method, Eigen value.
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  • Study of Free Vibrating Structures Coupled with Fluid

Abstract Views: 658  |  PDF Views: 0

Authors

S. Pathania
Department of Mathematics, National Institute of Technology, Hamirpur (H.P.), 177005, India
P.K. Sharma
Department of Mathematics, National Institute of Technology, Hamirpur (H.P.), 177005, India

Abstract


Vibrations of circular plates in contact with inviscid liquid are studied. The wet dynamic displacement of the plate is approximated by combining the orthogonal modal functions of a dry circular plate with a clamped boundary condition. Various boundary conditions for the plate have been observed and the wet dynamic modal functions of the plate are derived by using a compatibility requirement along the contacting surface between the plate and the liquid. The kinetic energy and potential energy of the system is analytically evaluated for plate and incompressible liquid. Rayleigh–Ritz method is used to find the natural frequencies and mode shapes for symmetric and asymmetric modes.

Keywords


Free Vibration, Circular Plate, Velocity Potential, Rayleigh-Ritz Method, Eigen value.

References