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005			20260817162536.0
008			290798 th eng
035			_a.b10083807
099		9	_aAIT Thesis no. ST-88-19
100	0		_aNipon Rattanawangcharoen
245	1	0	_aAnalytical solution to general vibrations of two homogeneous elastic half spaces perfectly bonded together
260			_aBangkok : _bAsian Institute of Technology, _c1988
300			_a81, 26 p.
490	1		_aThesis ; _vno. ST-88-19
500			_aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology
502			_aThesis (M.Eng.) - Asian Institute of Technology, 1988
520			_aIn this study, two and three dimensional harmonic vibrations of two homogeneous elastic semi-infinite media perfectly bonded together are presented with the goal of developing shape functions in the far field of multilayered spaces for an infinite boundary element algorithm. In two dimensional problems, the vibrations caused by axisymmetric and asymmetric forces, and an anti-plane concentrated moment are considered. Vibrations due to axisymmetric and asymmetric forces, and pure torsion are considered in three dimensional problems. General solutions for different vibrations are formulated by the techniques of Fourier transforms with respect to the horizontal Cartesian coordinate in two dimensional problems, and Hankel transforms with respect to the cylindrical radial coordinate in three dimensional problems. The solutions in the forms of infinite integrals are determined by means of the residue theorem of the complex variables using a proper pair of contours in the complex plane. The complete solution ls obtained in the form of a single surface wave commonly lrnown as the Stoneley wave and continuous spectra of body waves. The integrals involved are evaluated numerically by means of the Simpson's rule. It is found that the displacement body waves may be composed of the contributions from the shear and pressure waves. Attempts are made to approximate each continuous spectrum of body waves by a finite number of discrete waves. For vibrations due to axisymmetric forces in a two and a three dimensional example problems, a shape function for each of such discrete waves is obtained.
650		0	_aVibration
650		0	_aHomogeneous spaces
700	1		_aKarasudhi, Pisidhi, _eChairperson
700	1		_aChauhan, Roshan Lal, _eExamination Committee
700	0		_aSritawat Kitipornchai, _eExamination Committee
710	2		_aThe Government of Australia, _eScholarship Donor
810	2		_aAsian Institute of Technology. _tThesis ; _vno. ST-88-19
856			_3Full-Text _uhttp://203.159.5.9/ait-thesis/detail.php?q=B18657
907			_a.b10083807 _bmnait _cs
902			_a240410
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