Harmonic Actuator Spline Profile Mapping for Precise Gear Meshing

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Solution Overview

Problem

Existing harmonic gear systems in aircraft rotary actuators face challenges with mismatched teeth profiles leading to increased friction and reduced accuracy in motion control, particularly in high-torque applications like aircraft flight surfaces.

Innovation Solution

A method for developing spline and circular gear tooth profiles involves defining centroids, finding mid-points, and transforming them into a mapping to generate accurate tooth profiles, ensuring perfect fit with a tolerance of 1/10,000 of an inch, and adjusting pitch diameters to improve meshing accuracy.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If conventional tooth profiles are used in harmonic gears, then manufacturing is simpler, but friction increases and motion control accuracy deteriorates

Engineering Contradiction:
Improvemotion control accuracyVSAvoidfriction
Core Design Contradiction:
Measurement precisionVSLoss of energy

Solution Approach 1:

The patent applies parameter changes by modifying the tooth profile geometry through a systematic mathematical method. Centroids are defined based on gear ratio calculations, mid-points are found between centroids, and these are transformed into a mapping that generates the tooth profile. This changes the geometric parameters of the tooth profile to achieve perfect meshing with a tolerance of 1/10,000 of an inch, thereby reducing friction and improving motion control accuracy

Inventive Principle:
Principle #35Parameter changes

2Reliability

If tooth profiles are optimized for perfect meshing, then friction reduces and accuracy improves, but manufacturing complexity increases

Engineering Contradiction:
Improvemeshing accuracyVSAvoidtooth profile development complexity
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The tooth profile development method is segmented into distinct systematic steps: defining centroids based on gear ratio calculations, finding mid-points between centroids, transforming mid-points into a mapping, and generating the final tooth profile. This segmentation makes the complex development process more manageable and systematic, reducing the perceived complexity while achieving perfect meshing with 1/10,000 of an inch tolerance

Inventive Principle:
Principle #1Segmentation

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This method enhances the accuracy and reduces friction between teeth, enabling precise control and increased contact points, thereby improving the performance of harmonic actuators in aircraft systems.

Implementation Method 1

The flex spline is thin and made of elastic metal with external or internal teeth formed along an outer or inner circumference thereof

Methodology Applied
Scientific EffectElasticity: Elasticity

Data Source

PatentUS11092224B2Method of developing spline profile
Publication Date: 2021.08.17 HAMILTON SUNDSTRAND CORP
  • US11092224B2 patent drawing
  • US11092224B2 patent drawing
  • US11092224B2 patent drawing

AI summary

A method of developing a flex spline and circular gear tooth profile for a harmonic actuator is provided. The method includes defining circular gear and flex spline centroids based on gear ratio calculations, finding mid-points between the centroids of the circular gear and the centroids of the flex spline and transforming the mid-points into a mapping of the tooth profile for respective teeth of the circular gear and the flex spline.