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

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 e...

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Autores principales:	Anjibabu Merneedi, Nalluri Mohan Rao, L. Natrayan, L. Yuvaraj, Prabhu Paramasivam
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Materials of engineering and construction. Mechanics of materials TA401-492
Acceso en línea:	https://doaj.org/article/8d75a07c7bf647989a4b9c140efee069
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spelling	oai:doaj.org-article:8d75a07c7bf647989a4b9c140efee0692021-11-15T01:20:05ZFree Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out1687-844210.1155/2021/7212075https://doaj.org/article/8d75a07c7bf647989a4b9c140efee0692021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7212075https://doaj.org/toc/1687-8442This 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.Anjibabu MerneediNalluri Mohan RaoL. NatrayanL. YuvarajPrabhu ParamasivamHindawi LimitedarticleMaterials of engineering and construction. Mechanics of materialsTA401-492ENAdvances in Materials Science and Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Materials of engineering and construction. Mechanics of materials TA401-492
spellingShingle	Materials of engineering and construction. Mechanics of materials TA401-492 Anjibabu Merneedi Nalluri Mohan Rao L. Natrayan L. Yuvaraj Prabhu Paramasivam Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
description	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.
format	article
author	Anjibabu Merneedi Nalluri Mohan Rao L. Natrayan L. Yuvaraj Prabhu Paramasivam
author_facet	Anjibabu Merneedi Nalluri Mohan Rao L. Natrayan L. Yuvaraj Prabhu Paramasivam
author_sort	Anjibabu Merneedi
title	Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
title_short	Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
title_full	Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
title_fullStr	Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
title_full_unstemmed	Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out
title_sort	free vibration analysis of thick rectangular and elliptical plates with concentric cut-out
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/8d75a07c7bf647989a4b9c140efee069
work_keys_str_mv	AT anjibabumerneedi freevibrationanalysisofthickrectangularandellipticalplateswithconcentriccutout AT nallurimohanrao freevibrationanalysisofthickrectangularandellipticalplateswithconcentriccutout AT lnatrayan freevibrationanalysisofthickrectangularandellipticalplateswithconcentriccutout AT lyuvaraj freevibrationanalysisofthickrectangularandellipticalplateswithconcentriccutout AT prabhuparamasivam freevibrationanalysisofthickrectangularandellipticalplateswithconcentriccutout
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Free Vibration Analysis of Thick Rectangular and Elliptical Plates with Concentric Cut-Out

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