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Annular and perforated plates constitute vital components in mechanical engineering, such as in nuclear reactors. Natural frequencies of components have attracted extensive interest when exploring the structural responses to various excitations; this preliminary involves high risk plants. Among perforated plates, annular plates have a particular importance, due to their axial symmetry. using annular plates in design and engineering of a mechanical system is a conventional approach having become quite pervasive in certain industries. Specific applications of this type of mechanical component include turbines, saw blades, computer magnetic recording disks, gears, phonograph records and percussion musical instruments. The prominent role of these components in engineering necessitates a comprehensive understanding of their mechanical behavior. In a pioneering work, Southwell investigated natural frequency for annular plates vibration in a vacuum. These plates are important elements of machines and structures, with many investigators having explored their vibration problems in detail. Narayana Raju, and Vogel and Skinner analyzed this problem, demonstrating various combinations of boundary conditions to facilitate mechanical design purposes.
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Based on Kwak's approach, this study thoroughly examines the annular plates placed on the fluid domain that is an annular aperture of an infinite rigid wall. The fluid is assumed to be an incompressible, inviscid and irrotational velocity potential. Nine boundary conditions, having non-dimensionally added virtual mass incremental factors for annular plates having contact with fluid on one side, are calculated entirely by the Mathematica software. Also, Ross's finite element method is employed to calculate natural frequencies of circular and annular plates in air and having contact with water on one or both sides. Both the proposed method and Ross's finite element method are compared with the experimental data, thereby yielding the mode's accurate applications. Moreover, the natural frequencies of a circular plate in fluid are also studied. Calculation results are appropriate for engineering design applications.
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