ABSTRACT
In the last two chapters, the development of WSFE method for one-dimensional structural waveguides has been explained for both time and frequency domain analysis of wave propagation. In this chapter, the extension of the method for modeling of two-dimensional waveguides is discussed. Here, apart from the temporal approximation, where Daubechies scaling functions were used, these functions are again used for approximation in one of the spatial dimensions. This reduces the governing differential partial wave equations to ODEs in terms of one spatial dimensions. These ODEs are solved in a way similar to that explained in Chapter 5. Even here due to the localized nature of the approximation bases, the formulated WSFE can model two-dimensional waveguides with finite dimensions. The method is explained first for isotropic plates and then for axisymmetric cylinders. Next the method is implemented to model structures of higher complexities like folded plate, bi-material cylinder, and anisotropic laminated composites.
