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Civil-Comp Proceedings
ISSN 1759-3433
ISSN 1759-3433
CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS
ADVANCES IN COMPUTATIONAL MECHANICS
Edited by: M. Papadrakakis and B.H.V. Topping
Paper VIII.2
Vibration of Antisymmetric Laminated Plates using Eigensensitivity Analysis
O. Barton* and R. Reiss#
*Department of the Navy, United States Naval Academy, Annapolis, United States of America
#Department of Mechanical Engineering, Howard University, Washington, United States of America
Full Bibliographic Reference for this paper
O. Barton, R. Reiss, "Vibration of Antisymmetric Laminated Plates using Eigensensitivity Analysis", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 239-252, 1994. doi:10.4203/ccp.26.8.2
Abstract
Approximate closed-form expressions are developed to predict
the vibration of rectangular angle-ply antisymmetric laminated
composite plates. The set of partial differential equations is
first represented in abstract form and then converted into
discrete form using an Ritz approach. Sensitivity derivatives
are determined which are used to provide a Maclaurin series
representation of the laminate's frequency. A comparison of
numerical results calculated for various boundary conditions
using both the derived formula and the Rayleigh-Ritz method
validates the accuracy of the approximate formula.
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