AI SearchBeam vibration with shear distortion
Yii, Sui Kui
Beam vibration with shear distortion - Bangkok : Asian Institute of Technology, 1973 - 35 p. - Thesis ; no. 564 . - Asian Institute of Technology. Thesis ; no. 564 .
A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand.
Thesis (M.Eng.) - Asian Institute of Technology,1973
The vibration of elastic beams is discussed and consideration is given to the effect of warping deformation due to the presence of shear stress. The elementary and Timoshenko beam theories assume that plane cross sections remain plane after deformation. In this study, the govern ing equation of transverse vibration is derived taking into consideration the out-of-plane deformation of cross sections caused by shear distortion. The governing equation of torsional vibration is similarly derived. Numerical examples are presented for beams with simply supported boundary condition. Narrow rectangular, thin-walled tube and box sections are used to illustrate transverse vibration, wide flange sections are used to illustrate torsional vibration.
Vibration
Shear (Mechanics)
Girders--Vibration
Beam vibration with shear distortion - Bangkok : Asian Institute of Technology, 1973 - 35 p. - Thesis ; no. 564 . - Asian Institute of Technology. Thesis ; no. 564 .
A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering of the Asian Institute of Technology, Bangkok, Thailand.
Thesis (M.Eng.) - Asian Institute of Technology,1973
The vibration of elastic beams is discussed and consideration is given to the effect of warping deformation due to the presence of shear stress. The elementary and Timoshenko beam theories assume that plane cross sections remain plane after deformation. In this study, the govern ing equation of transverse vibration is derived taking into consideration the out-of-plane deformation of cross sections caused by shear distortion. The governing equation of torsional vibration is similarly derived. Numerical examples are presented for beams with simply supported boundary condition. Narrow rectangular, thin-walled tube and box sections are used to illustrate transverse vibration, wide flange sections are used to illustrate torsional vibration.
Vibration
Shear (Mechanics)
Girders--Vibration