ANALYSIS OF MECHANIC STRUCTURES BY WAVELET-LAPLACE METHOD
Adina C. Rusu, Constantin Filipescu, I. Cuza · 2009
Application of the wavelet functions in solid mechanics is presented. The objective of the paper is to derive a wavelet-Laplace method for the dynamic analysis of structures. Haar wavelet bases functions are used with the method of Laplace transform for studying the axial displacement, strain and stress of a uniaxial homogeneous embedded rod in the elastic regime. Based on the multi-resolution analysis properties of wavelet bases, the proposed method generates higher level approximate wavelet solution from the results of lower level calculations. This method may be advantageous when solutions exhibit abrupt changes. Comparison with finite difference method for numerical solution of partial differential equations is made.