Polygonal action in chain drives

✍ Scribed by S. Mahalingam

• Book ID: 103082718
• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 232 KB
• Volume: 265
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90665-3

✦ Synopsis

The speed of a chain is subject to periodic fluctuations, even for a constant speed of the driving sprocket, due to the fact that a chain lying on a sprocket forms a polygon rather than a circle. It is shown that the dynamic loading of the chain due to this "polygonal action" is similar to that of a simple forced vibration where, beyond a certain critical speed, higher speeds produce lower dynamic loads. NOTATION R = radius of sprocket (to center of chain pin) T = number of teeth in sprocket n = mean speed of sprocket in rad. per sec. 27r r = period of tooth engagement nT p = circular frequency of tooth engagement = nT rad. per sec. l = length of chain I = moment of inertia of driven system about axis of rotation k = longitudinal stiffness of unsupported length of chain The suffixes 1 and 2 refer to the driving and driven system, respectively.