WAVELET ANALYSIS OF STRUCTURES - STATICS, DYNAMICS AND DAMAGE IDENTIFICATION

Applications of the wavelet transform in solid mechanics are presented herein. The analysis problem is addressed first where the objective i s to derive an adaptive wavelet-based method for the static and dynami c analysis of structures. This is done via a collocation scheme. The d amage identification problem is investigated next making use of the sp ace-localized properties of the wavelet transform: the regularity of t he solution is detected by looking at the amplitude of the coefficient s of the wavelet decomposition of the response. Open problems are fina lly outlined that will be the object of future work.