02201nam a2200241   450000500170000000800410001703500150005810000370007324500710011026000520018130000100023349000230024350001620026650200580042852011450048665000230163170000380165470000440169270000500173671000530178681000550183985600650189420260818113843.02503980        th                  eng    a.b102806981 aSivagnanasampanthar, Jayakumaran10aFinite displacement theory for the vibration of Timoshenko's beams  aBangkok :bAsian Institute of Technology,c1978  a23 p.1 aThesis ;vno. 1326  aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand  aThesis (M.Eng.) - Asian Institute of Technology, 1978  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. 0aGirdersxVibration1 aKarasudhi, Pisidhi, eChairperson1 aUsami, Tsutomu, eExamination Committee0 aPichai Nimityongskul, eExamination Committee2 aKEIDANREN Foundation, Japan, eScholarship Donor2 aAsian Institute of Technology.tThesis ;vno. 1326  3Full-Textuhttp://203.159.5.9/ait-thesis/detail.php?q=B22923