The generalized reflection-transmission coefficient matrix method for synthetic seismograms;

For arbitrarily spatial elastic curved rod elements with circular cross-section, a set of displacement functions fully reflecting the rigid body modes is derived using the classical elasticity theory and mathematic theories of the differential geometry and matrix methods.

3-D rigid--plastic FEM and matrix method are adopted to calculate plastic deformation of strip and elasticdeformation of rolls respectively.

Considering the mechanical and electrical boundary conditions of AlN/GaN structures,determinantal equation which is used to solve the phase velocity of surface acoustic wave(SAW) is given from the basic principle of matrix methods.

The complex beam parameters in spherical resonators with an aperture is analyzed by matrix methods.

In this thesis, the propagating properties of surface acoustic wave (SAW) in AlN/GaN structures were researched by the Adler matrix methods.

By analysis the process for people to identify the type of any wear debris on a ferrogram,a new method,the method of matrix series,was put forward and the concrete procedure to apply the method of matrix series was also given.