000			02834nam a2200385 4500
005			20260818113843.0
008			2503980 th eng
035			_a.b10280698
099		9	_aAIT Thesis no. 1326
100	1		_aSivagnanasampanthar, Jayakumaran
245	1	0	_aFinite displacement theory for the vibration of Timoshenko's beams
260			_aBangkok : _bAsian Institute of Technology, _c1978
300			_a23 p.
490	1		_aThesis ; _vno. 1326
500			_aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand
502			_aThesis (M.Eng.) - Asian Institute of Technology, 1978
520			_aIn this study, the undamped forced vibration of nonlinear Timoshenko's beams with axial force effects is analyzed by considering simply supported, homogeneous, isotropic beams. The basic equations have been formulated with the nonlinear terms in the expression for normal strain included. In order to uncouple the resulting nonlinear partial differential equations, the axial displacement function obtained from the small displacement theory and modified by satisfying the boundary conditions for the nonlinear case has been used. In the process of solving the basic equations the nonlinear terms are linearized by expanding them in a Fourier series in accordance with the technique used by CAUGHEY in his analysis of nonlinear systems. The results are plotted in the form of response curves of amplitude versus frequency ratio, for beams with different dimensional parameters. To exhibit the effect of axial force, response curves are also plotted for various values of the parameter corresponding to the axial force. In addition, a table is provided to show the trend of variation of the fundamental frequency with varying axial force.
650		0	_aGirders _xVibration
700	1		_aKarasudhi, Pisidhi, _eChairperson
700	1		_aUsami, Tsutomu, _eExamination Committee
700	0		_aPichai Nimityongskul, _eExamination Committee
710	2		_aKEIDANREN Foundation, Japan, _eScholarship Donor
810	2		_aAsian Institute of Technology. _tThesis ; _vno. 1326
856			_3Full-Text _uhttp://203.159.5.9/ait-thesis/detail.php?q=B22923
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