Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out

Autor: Anjibabu Merneedi, Nalluri Mohan Rao, L. Natrayan, L. Yuvaraj, Prabhu Paramasivam
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Advances in Materials Science and Engineering, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 1687-8434
1687-8442
DOI: 10.1155/2021/7212075
Popis: This research paper deals with a numerical method which is modified and applied, by the authors to derive an eigenvalue of a thick plate having cut-out in which geometries of plate and cut-outs are different, through a deflection matching condition by including shear deformation and rotary inertia effects, with less computational efforts and high accuracy. The modified Independent Coordinate Coupling Method (ICCM) is validated with FEM package (ANSYS) and applied to know the change in eigenvalues for a plate with cut-out by varying various parameters like aspect ratios, cut-out size, and thickness ratios. Trigonometric functions considered at the boundary level conditions of a simply supported plate should be satisfied. Free vibrational exploration on a thick isotropic plate with various aspect ratios and an elliptical plate with various sizes is carried out through the modified ICCM. Independent coordinates are applied for a plate domain and for a hole domain individually followed by equating the deflection condition of hole and plate, a reduced mass to express with cut-out from which eigenvalues can be obtained. The deflection matching condition facilitates the analysis even though the geometries of plate and cut-outs are different.
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