1986 年 29 巻 247 号 p. 187-193
In this paper, the effects of the torsional moment on the free transverse vibration of circular bars are investigated with the condition that the axial elongation can be neglected. A differential equation on the non-planar motion of the bar is derived. Then the equation is solved by means of the perturbation method and the numerical one for the case in which both ends are clamped. The results show that the characteristic frequency decreases quadratically with an increase of the torsional momet, which is contrary to the case of tension. It is also confirmed that the non-planar vibration arises due to the torsional moment.
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 1, Solid mechanics, strength of materials
