A thesis submitted in partial fulfilment of the requirements for the degree of Master of Engineering, School of Engineering and Technology

Thesis (M.Eng.) - Asian Institute of Technology, 1989

In this study the far field shape functions in the three different model of half spaces such as homogeneous half space a homogeneous full space and two homogeneous half spaces bonded together for the case of two dimensional a nd three dimensional problems are considered. The models are subjected to various harmonic vibrations such as inplane axisymmetric , asymmetric and antiplant axisymmetric , antisymmetric harmonic vibration for the case of two dimensional problem. In the case of three dimensional problem, the vibration cases considered are axisymmetric , asymmetric point load and pure torsion. For radiating element the shape functions are derived as the combination of above cases. It is found that the body wave solution can be separated into pressure and shear waves with the oscillating circular functions whose periods of oscillation are constant, which depends on underlying a nd overlying media pressure and shear wave nondimensionalized numbers. To get the approximate shape function in intermediate field, a calibration technique is suggested.