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PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
The Spectral-Dynamic Stiffness Method: A Novel Approach for Exact Free Vibration Analysis of Plate-Like Structures
X. Liu and J.R. Banerjee
School of Mathematics, Computer Science and Engineering, City University London, United Kingdom
X. Liu, J.R. Banerjee, "The Spectral-Dynamic Stiffness Method: A Novel Approach for Exact Free Vibration Analysis of Plate-Like Structures", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 111, 2015. doi:10.4203/ccp.108.111
Keywords: spectral-dynamic stiffness method, exact free vibration analysis, plate-like structures, enhanced Wittrick-Williams algorithm.
A novel method named spectral-dynamic stiffness method (S-DSM) is presented in this paper for exact free vibration analysis of plate-like structures made of both isotropic and composite materials. The method has no restriction and is completely general to handle any boundary conditions within any frequency range. The S-DSM integrates the spectral method into the dynamic stiffness method (DSM) by using a number of novel techniques. Exact free vibration analysis is then carried out by applying the Wittrick-Williams algorithm with enhancements. The present S-DSM is superior to other methods such as the finite element or boundary element methods in terms of computational efficiency, accuracy and robustness of results.
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