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    <subfield code="a">Rajaratnam, Praemachandran</subfield>
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    <subfield code="a">Far field shape functions for vibrations of elastic spaces</subfield>
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    <subfield code="a">Bangkok :</subfield>
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    <subfield code="c">1989</subfield>
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    <subfield code="v">no. ST-89-13</subfield>
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    <subfield code="a">A thesis submitted in partial fulfilment of the requirements  for the degree of Master of Engineering, School of Engineering and Technology</subfield>
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    <subfield code="a">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.</subfield>
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