STABILIZED SOLUTION OF STRUCTURAL DYNAMICS IN WAVELET SPACES

A stabilized wavelet-based scheme is used to simulate vibration of structures. The method is a kind of projection scheme, where operators are projected to wavelet space. Derivatives with respect to time are directly projected to wavelet space; then the whole solution is captured in thewavelet space. Consequently the solution in time is attained by an inverse transform. Using a fewer number of initial sampling points in the simulation lead to a larger time steps in modeling. This feature will increase the speed of computation. In fact operators in the wavelet space aresparse and narrow banded. This means a cost effective computation, which is desirable in simulation, especially in the multi-degrees of freedom systems (a kind of semi modal analysis). Finally effectiveness and accuracy of the proposed method are demonstrated by some examples, including single degree of freedom systems.

کلیدواژه ها:

Adaptive Wavelet ، SDOF and MDOF Dynamical systems ، Numerical Solution