Conjugate Cycloidal Harmonic Reducer for Precise Tooth Engagement
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Solution Overview
Problem
Existing harmonic gear transmissions face challenges in achieving high load capacity and precision due to differences between actual and theoretical engaging states of machined profiles, which are difficult to adjust for optimal performance.
Innovation Solution
A harmonic reducer with conjugate cycloidal profiles is designed, featuring a circular spline and a flexspline with profiles that are conjugate cycloidal under engagement, formed by hypocycloids and epicycloids, and a biarc cam wave generator to ensure complete conjugation and increased paired teeth engagement.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If complex tooth forms are calculated through engagement equations and approximated with simple curves to meet machining requirements, then ease of manufacture is improved, but manufacturing precision deteriorates due to differences between actual and theoretical engaging states
Solution Approach 1:
The patent changes the fundamental approach from approximating complex curves to using conjugate cycloidal profiles with defined mathematical parameters (rolling circle radius, pitch circle radius). This allows precise control of engagement characteristics while maintaining ease of generation through standardized cycloidal geometry, resolving the contradiction between manufacturing simplicity and engagement precision.
2Strength
If the number of engaged teeth is increased to improve load capacity, then bearing capacity is improved, but device complexity increases due to more intricate profile design
Solution Approach 1:
The patent employs conjugate cycloidal profiles which are inherently curved geometries generated by rolling circle motion. This curvature enables multiple teeth to engage simultaneously along the arc of contact, increasing the number of engaged teeth and bearing capacity without requiring complex non-circular profiles, thus resolving the contradiction between strength and device complexity.
Data Source
AI summary
The present disclosure discloses a harmonic reducer with conjugate cycloidal profiles, including a circular spline, a flexspline, a wave generator and a flexible bearing. A profile of the circular spline and a profile of the flexspline are conjugate cycloidal profiles. The profile of the circular spline and the profile of the flexspline are formed by hypocycloids and epicycloids formed by two rolling circles around a pitch circle of the circular spline and a pitch circle of the flexspline under an engaging state respectively. A sum of radii of the first rolling circle and the second rolling circle is equal to a difference between radii of the pitch circle of the circular spline and the pitch circle of the flexspline under the engaging state. The wave generator is a biarc cam wave generator, a cam curve is an arc within an angle of contact in the long axis direction.