Vibration Analysis of Frame Structures Using Wavelet Finite Elements
Mutinda Musuva, Cristinel Mares · Journal of Physics Conference Series · 2012
The recently developed Wavelet Finite Element Method (WFEM) involves combining the versatile wavelet analysis with conventional Finite Element Method (FEM) by utilizing the wavelet and scaling functions as interpolating functions, providing an alternative to the conventional polynomial interpolation functions used in FEM. In this paper, the B-Spline Wavelet on bounded Interval (BSWI) wavelets are utilized in the construction of the wavelet based finite elements for the dynamic analysis of a Vierendeel frame structure subjected to a moving load. The numerical results for these WFEM formulations are compared with the classical Euler Bernoulli elements.