An Analytical Model to Determine Fundamental Frequency of Free Vibration of Perforated Plate by Using Greatest Integer Functions to Express Non Homogeneity

Kiran D. Mali; Pravin M. Singru

doi:10.4028/www.scientific.net/AMR.622-623.600

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 622-623An Analytical Model to Determine Fundamental...

An Analytical Model to Determine Fundamental Frequency of Free Vibration of Perforated Plate by Using Greatest Integer Functions to Express Non Homogeneity

Abstract:

This paper aims at determining the fundamental frequency of square perforated plate with square perforation pattern of square holes. Rayleigh’s method is used for the solution of this problem. Non homogeneity in Young’s modulus and density at the perforation is expressed by using greatest integer function i.e. floor function. Boundary condition considered is clamped on all edges. Perforated plate is considered as plate with uniformly distributed mass and holes are considered as non homogeneous patches. The deflected surface of the plate is approximated by a function which satisfies the boundary conditions. Finite Element Method (FEM) modal analysis is carried out to validate the results of the proposed approach.

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Periodical:

Advanced Materials Research (Volumes 622-623)

Pages:

600-604

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.622-623.600

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Online since:

December 2012

Authors:

Kiran D. Mali, Pravin M. Singru

Keywords:

Greatest Integer Function, Non-Homogeneous Plate, Perforated Plate, Rayleigh’s Method, Vibration of Plate

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