Group Link Gear Locus Modeling Based on Motion Relativity

Abstract

In order to solve the comprehensive analysis problem of the mechanism link locus and motion, this paper bring forward the parameter calculation of locus based on motion relativity and differential geometry theory. The problem of point-group calculation is thus solved, and the comprehensive analysis of motion and position is realized. Moreover, the method is simplified and the calculation accuracy is also improved. In the paper, a moving frame of axes is set up by using the lever axes to describe the complex structure of linkage. Motion relativity theory is adopted to study the overall motion rule of the structure. By using the calculation result of the linkage axes, the calculation model is set up to analyze its motion, which simplifies the point-group motion calculation. The point-groups form the same component have the same angle velocity, angle acceleration velocity, base point, and calculation model, which makes the calculation procedure modularized and the program shortened. Owning to complete digital analysis, the characteristic parameter calculations of locus are very accurate, the data-base is easy to establish, the transfer and analysis of data become convenient. This also makes it easy to establish the shape chart of the linkage locus and to analyze their resemblance. It’s a useful method to analyze the locus and motion of the link gear comprehensively.