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Symbolic manipulation techniques for vibration analysis of laminated elliptic platesA computational scheme is presented for the free vibration analysis of laminated composite elliptic plates. The scheme is based on Hamilton's principle, the Rayleigh-Ritz technique and symmetry considerations and is implemented with the aid of the MACSYMA symbolic manipulation system. The MACYSMA system, through differentiation, integration, and simplification of analytic expressions, produces highly-efficient FORTRAN code for the evaluation of the stiffness and mass coefficients. Multiple use is made of this code to obtain not only the frequencies and mode shapes of the plate, but also the derivatives of the frequencies with respect to various material and geometric parameters.
Document ID
19770021822
Document Type
Conference Paper
Authors
Andersen, C. M. (College of William and Mary Williamsburg, VA, United States)
Noor, A. K. (George Washington Univ. Washington, DC, United States)
Date Acquired
August 8, 2013
Publication Date
January 1, 1977
Publication Information
Publication: NASA. Langley Res. Center Proc. of the 1977 MACSYMA Users' Conf. (NASA)
Subject Category
STRUCTURAL MECHANICS
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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IDRelationTitle19770021806Analytic PrimaryProceedings of the 1977 MACSYMA users' conference (NASA)