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Characterizing the vibration of an elastically point supported rectangular plate using eigensensitivity analysis
AbstractNormalized frequencies are computed for a rectangular, isotropic plate resting on elastic supports. The normalized frequencies are determined using eigensensitivity analysis, which approximates the eigenparameters in a Mauclarin series, yielding an approximate closed-form expression. One benefit of the approximate closed-form expression is its computational efficiency and yet another is its application of re-analysis. Accuracy of the approximate expression is assessed by comparing results with the widely used Rayleigh–Ritz method using orthogonal polynomials and beam shape functions in both approaches. Consideration for a variety of edge conditions is given through a combination of simply supported, clamped and free boundary conditions. Results indicate that the accuracy of higher frequencies computed by the sensitivity approach is highly dependent upon choice of basis function.
Characterizing the vibration of an elastically point supported rectangular plate using eigensensitivity analysis
AbstractNormalized frequencies are computed for a rectangular, isotropic plate resting on elastic supports. The normalized frequencies are determined using eigensensitivity analysis, which approximates the eigenparameters in a Mauclarin series, yielding an approximate closed-form expression. One benefit of the approximate closed-form expression is its computational efficiency and yet another is its application of re-analysis. Accuracy of the approximate expression is assessed by comparing results with the widely used Rayleigh–Ritz method using orthogonal polynomials and beam shape functions in both approaches. Consideration for a variety of edge conditions is given through a combination of simply supported, clamped and free boundary conditions. Results indicate that the accuracy of higher frequencies computed by the sensitivity approach is highly dependent upon choice of basis function.
Characterizing the vibration of an elastically point supported rectangular plate using eigensensitivity analysis
Joseph Watkins, R. (Autor:in) / Barton, O. Jr. (Autor:in)
Thin-Walled Structures ; 48 ; 327-333
13.11.2009
7 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Vibration of Antisymmetric Laminated Plates Using Eigensensitivity Analysis
British Library Conference Proceedings | 1994
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