Wavelet Spectral Finite Elements for Wave Propagation in Composite Plates with Damages

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 24, 2010
Accession Number
ADA516535

Entities

People

  • S. Gopalakrishnan

Organizations

  • Kendriya Vidyalaya, IISc Bangalore

Tags

Communities of Interest

  • Biomedical
  • Space

DTIC Thesaurus Topics

  • Boundaries
  • Composite Materials
  • Composite Structures
  • Differential Equations
  • Dispersion Relations
  • Eigenvalues
  • Equations
  • Finite Element Analysis
  • Frequency
  • Frequency Domain
  • Materials
  • Materials Testing
  • Orientation (Direction)
  • Partial Differential Equations
  • Spatial Distribution
  • Two Dimensional
  • Wave Propagation

Readers

  • Image Processing and Computer Vision.
  • Structural Dynamics.