Haar Wavelet Based Discretization Technique for Analysis and Design of Composite Structures
نویسنده
چکیده
A wavelet is a basis function used to construct a wavelet transform. The first known wavelet – Haar wavelet was proposed in 1909 by Alfred Haar. Wavelet theory has been applied to various problems including signal processing in communications, image compression-extraction, solution of the linear and nonlinear integral equations etc. Haar wavelet based discretization technique is adopted for solving some solid mechanics problems in [1-3]. However, unfoundedly few attention has been paid to solid mechanics problems. Recently the wavelet based approach has been introduced for solving composite plate/shell problems in [4-5]. In [4] the wavelet collocation method has been introduced for the static analysis of sandwich plates and in [5] for the static and vibration analysis of composite plates. The collocation method is based on Deslaurier – Dubuc interpolating basis in hierarchical form.
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