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Title:	Transverse vibration of a class of orthotropic plates
Author:	De Capua, Nicholas J.
View Online:	njit-etd1971-005 (x, 100 pages ~ 2.6 MB pdf)
Department:	Department of Mechanical Engineering
Degree:	Doctor of Engineering Science
Program:	Mechanical Engineering
Document Type:	Dissertation
Advisory Committee:	Sun, Benedict C. (Committee chair) Fox, P. A. (Committee member) Herman, Harry (Committee member) Martin, James L. (Committee member) Allentuch, Arnold (Committee member)
Date:	1971-03
Keywords:	Plates (Engineering)
Availability:	Unrestricted
Abstract:	This study determines the eigenvalues, eigenvectors, and nodal patterns of a class of orthotropic plates whose geometry is governed by the equation (x/a)α + (y/b)β = 1, where the parameters a, b, a, and a permit the plate geometry to vary over a range which includes the rhombus, circle, ellipse, square, and rectangle. Variable thickness, inplane forces, and mixed or discontinuous boundary conditions are also considered. The following assumptions have been employed: i). plate is thin with respect to other dimensions, ii). deflections are small, iii). rotary inertia and shear are neglected. The method of analysis employed is the Rayleigh-Ritz energy technique using xy-polynomials as the approximated deflection. Eigenvalues and eigenvectors were computed by the method of reductions, and the evaluation of double integrals was achieved by the numerical procedure of Gauss-Legendre quadratures. The validity of the analysis was checked by comparison with known solutions for rectangular orthotropic plates, and isotropic plates with variable thickness, in-plane forces, and mixed or discontinuous boundary conditions. It was found that the calculated frequencies and nodal patterns were in good agreement with existing data.