03802nam a2200445 4500 20260817162536.0 290798 th eng .b10083807 AIT Thesis no. ST-88-19 Nipon Rattanawangcharoen Analytical solution to general vibrations of two homogeneous elastic half spaces perfectly bonded together Bangkok : Asian Institute of Technology, 1988 81, 26 p. Thesis ; no. ST-88-19 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology Thesis (M.Eng.) - Asian Institute of Technology, 1988 In 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. Vibration Homogeneous spaces Karasudhi, Pisidhi, Chairperson Chauhan, Roshan Lal, Examination Committee Sritawat Kitipornchai, Examination Committee The Government of Australia, Scholarship Donor Asian Institute of Technology. Thesis ; no. ST-88-19 Full-Text http://203.159.5.9/ait-thesis/detail.php?q=B18657 .b10083807 mnait s 240410 2 951012 m a s 0 mnait mnait mnarc mnarc 20 40 Barcode : 30050003063897 CREATED : 1995-10-13 RECORD # : i10086687 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050003063871 CREATED : 1995-10-13 RECORD # : i10086699 LPATRON : 1010924 LCHKIN : 2003-10-04 # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 1 TOT RENEW : 0 Barcode : 30050160011424 CREATED : 2016-07-04 RECORD # : i12928161 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050121016710 CREATED : 2020-06-08 RECORD # : i13287370 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 5365 5365 0 0 0 0 MAIN MAIN mnait 2026-08-17 10.00 0 AIT Thesis no. ST-88-19 30050003063897 2026-08-17 16:25:36 1 2026-08-17 20 0 0 0 0 MAIN MAIN mnait 2026-08-17 10.00 0 AIT Thesis no. ST-88-19 30050003063871 2026-08-17 16:25:36 2 2026-08-17 20 0 0 0 0 MAIN MAIN mnarc 2026-08-17 0 AIT Thesis no. ST-88-19 30050160011424 2026-08-17 16:25:36 1 2026-08-17 40 0 0 0 0 MAIN MAIN mnarc 2026-08-17 0 AIT Thesis no. ST-88-19 30050121016710 2026-08-17 16:25:36 3 2026-08-17 20