Screw analysis and experimental study of spatial noncircular gear compound transmission

Area of Science:

• Mechanical Engineering
• Robotics
• Kinematics and Dynamics

Background:

• Traditional gear transmissions have fixed shafts and constant transmission ratios.
• Spatial noncircular gear pairs (SNCGPs) offer compound motion with variable transmission ratios between intersecting axes.
• SNCGPs have broad engineering applications in speed reduction and speed increase.

Purpose of the Study:

• To propose a screw analysis method for spatial noncircular gear (SNCG) compound transmissions.
• To reflect compound motion characteristics, including rotation and axial movement.
• To verify the proposed method through experimental measurements.

Main Methods:

• Established a unified coordinate system for screw analysis.
• Discussed screw geometric characteristics: instant screw axis, axode, pitch surface, and normal equidistant surface.
• Derived SNCG tooth surfaces using the screw analysis method and generator motion.

Main Results:

• A screw analysis method was developed to directly and comprehensively analyze SNCG compound transmission.
• The method revealed the screw principle governing compound motion.
• Experimental validation through gear machining, tooth surface, transmission ratio, and axial displacement measurements confirmed the method's correctness.

Conclusions:

• The proposed screw analysis method accurately models spatial noncircular gear pair compound transmissions.
• This verification lays the foundation for further research and application of SNCGPs.
• The method enables precise design and analysis of complex gear mechanisms with variable ratios.