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  HomeContents of Chinese Journal of Mechanical Engineering 2001 No.5STUDY ON THE METHOD OF COMPUTING THE RATIO FUNCTION OF NONCIRCULAR CHAIN (BAND)
STUDY ON THE METHOD OF COMPUTING THE RATIO FUNCTION OF NONCIRCULAR CHAIN (BAND)

 

Cao Lixin  Liu Jian

(Dalian University of Technology)

 

Abstract: Based on cesaro method of differential geometry, successive and dispersed mapping models are established. These models have good effect on the investigation of the rolling character, ratio function and “polygonal” effect. Instantaneous centers, pitch curves and cycloid are discussed in detail. The study shows, though the pitch curves of the sprockets 1, 2 purely rolling on the pitch line of the chain, however their instantaneous arc-length does not in general equal. In order to shed a light on “polygonal” effect to ratio function, numerical examples are given.

Key words: Noncircular sprocket (band wheel)  Pitch curve  Cycloid  Ratio function
CLC No: TH132
重庆大学机械传动国家重点实验室开放基金资助项目. Received 20000314, received in revised form 20001023

 

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