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Wavelet Spectral Finite Elements for Wave Propagation in Composite Plates with Damages
Final progress rept. 31 Mar 2009-30 Mar 2010
INDIAN INST OF SCIENCE BANGALORE (INDIA)
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For the Current Year 2009-2010, a new spectral plate element SPE for laminated composite using Daubechies compactly supported wavelet basis functions is developed to analyze wave propagation in an anisotropic laminated composite media. The element is based on the Classical Laminated Plate Theory CLPT. The element is formulated using the recently developed methodology of spectral finite element formulation based on the solution of a Polynomial Eigenvalue Problem PEP. By virtue of its frequency wave number domain formulation, single element is sufficient to model large structures where conventional finite element method will incur heavy cost of computation. First the Wavelet spectral element procedure is outlined, which is followed by a section on wavenumber computation as a function of fiber directions is given. A number of numerical examples are provided to show the efficiency of the formulated element. In most cases, the results from the wavelet formulations is compared with the conventional finite elements to show the computational superiority of the formulated wavelet spectral element for certain class of problems.
APPROVED FOR PUBLIC RELEASE