Abstract
The curve-face gear pair is a new type of gear pair with variable transmission ratio for spatial finite helical motion. In this paper, mathematical models of a new developed curve-face gear were simplified and obtained directly by the standard shaper. The subsequent studies on the curve-face gear compound transmission characteristics were further analyzed by the combinations of the principle of space gearing and screw theory. Firstly, the conjugate tooth surface geometry as well the point contact traces of curve-face gears were derived. Secondly, the geometric relationships between gear pair and the corresponding meshing characteristics were evaluated by several basic geometric elements, including instantaneous screw, axodes, striction curve, and conjugate pitch surface. Based on that analysis, it was found that the tooth contact normal was reciprocal to the instantaneous twist, which demonstrated that the conjugate motion with the desired transmission ratio could be realized in current curve-face gear compound transmission. Moreover, the time-varying slip characteristics of the curve-face gear pair were also revealed, that is, rolling and sliding action coexist at all contact on the tooth surfaces. In brief, this work provided the theoretical basis for following researches on machining curve-face gear with standard shaper.
Highlights
Space optical remote sensing camera is one of the important means to obtain terrestrial remote sensing images
The curve-face gear compound transmission pair is regard as a space three link 1-dof mechanism, space vector and gear geometry would be the important means for the geometry analysis of tooth surface, as well the principle of spatial gearing and screw theory can be the main tools for the characteristics analysis of conjugate action in mesh
Tooth surface of curve-face gear was determined as the envelope to the family of standard shaper surface, rather than the simulation processing by non-circular (a) Transmissionshtaesptepr.laAtnfodrmthen, the tooth surface geom(bet)rCyoanntdacktinreesmualttsicosfotfhceutrovoet-hfascuergfaeacer compound Figure 1t8ra
Summary
Space optical remote sensing camera is one of the important means to obtain terrestrial remote sensing images. Due to the complexity in geometry of tooth surface, tooth surface model of curve-face gear was usually obtained through simulating the process of generation by the non-circular shaper in previous researches [5]. The curve-face gear compound transmission pair is regard as a space three link 1-dof mechanism, space vector and gear geometry would be the important means for the geometry analysis of tooth surface, as well the principle of spatial gearing and screw theory can be the main tools for the characteristics analysis of conjugate action in mesh. Based on meshing of general curve-face gear pair in line contact [42], the contact and slip characteristics of tooth surface, and the motion characteristics of compound transmission are analyzed. This work provides a theoretical basis for the subsequent processing of curve-face surface gear by standard shaper and the design of the spatial finite helical motion of the curve-face gear compound transmission with variable transmission ratio
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