@article{oai:nagoya.repo.nii.ac.jp:00030757,
 author = {Ota, Hiroshi and Kato, Masayoshi},
 issue = {1},
 journal = {Memoirs of the Faculty of Engineering, Nagoya University},
 month = {Oct},
 note = {A rotating shaft driven by a universal joint suffers an angular velocity fluctuation which is decided by an angle between the driven shaft and the drive shaft rotating with a constant speed. An existing shaft surely has some moment of inertia. Therefore the driven shaft needs a moment to make the angular velocity fluctuation even if it does not take frictions or external loads against its rotation. This moment evidently concerns a torsional vibration. Simultaneously the driven shaft gains a moment perpendicular to the shaft, a secondary moment. The secondary moment causes a lateral vibration in the driven shaft. The lateral vibration consists of components which vibrate with even multiple as large as the rotating speed of the drive shaft.  When an asymmetrical shaft is used as a shaft driven by a universal joint, the asymmetrical shaft experiences vibrations influenced by the angular velocity fluctuation of shaft. The vibrations consist of unstable vibrations and forced vibrations. The unstable vibrations occur not only at the major critical speed but also at a half of it. The forced vibrations appear when the asymmetrical shaft is horizontally assembled, and they occur not only at a half but also at a quarter of the major critical speed.},
 pages = {1--61},
 title = {On the lateral vibrations of a rotating shaft driven by a universal joint},
 volume = {39},
 year = {1987}
}