Free-Vibration Analysis and Material Constants Identification of Laminated Composite Sandwich Plates
Publication: Journal of Engineering Mechanics
Volume 133, Issue 8
Abstract
Free vibration of symmetrically laminated composite sandwich plates with elastic edge restraints is studied via the Rayleigh–Ritz approach. The proposed Rayleigh–Ritz method is constructed on the basis of the layer-wise linear displacement theory. The accuracy of the method in predicting natural frequencies of composite sandwich plates with different boundary conditions is verified by the results reported in the literature or the experimental data obtained in this study. The proposed method is then applied to the material constant identification of free composite sandwich plates using the first six theoretical natural frequencies of the plates. In the identification process, trial material constants are used in the present method to predict the theoretical natural frequencies, a frequency discrepancy function is established to measure the sum of the squared differences between the experimental and theoretical natural frequencies, and a stochastic global minimization algorithm is used to search for the best estimates of the material constants by making the frequency discrepancy function a global minimum. Applications of the material constant identification technique are demonstrated by means of several examples.
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Acknowledgments
This research work was supported by the National Science Council of the Republic of China under Grant No. NSC 94-2212-E-009-020. Its support is gratefully appreciated.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 133 • Issue 8 • August 2007
Pages: 874 - 886
Copyright
© 2007 ASCE.
History
Received: Apr 24, 2006
Accepted: Mar 7, 2007
Published online: Aug 1, 2007
Published in print: Aug 2007
Notes
Note. Associate Editor: Joel P. Conte
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