The First Year Progress Report on WAVELET SPECTRAL FINITE ELEMENTS FOR WAVE PROPAGATION IN COMPOSITE PLATES WITH DAMAGES
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Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. 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 wavenumber 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.
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