Flat Wave Gear Tooth Profile Design for Zero Backlash
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Solution Overview
Problem
Current flat wave gear devices face challenges in achieving zero backlash and optimal ratcheting torque when the flexible externally toothed gear and rigid internally toothed gear have the same number of teeth, with limited research on suitable tooth profiles for this configuration.
Innovation Solution
A method is developed to determine the tooth profile of a rigid internally toothed gear by analyzing the movement locus of the flexible externally toothed gear, using an arcuate tooth profile and calculating the contact point between the gears, which allows for accurate meshing with zero backlash and increased ratcheting torque.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If conventional tooth profiles are used in flat wave gear devices with same-number-of-teeth gears, then the device structure is simple, but zero backlash cannot be achieved and ratcheting torque is insufficient
Solution Approach 1:
The invention changes the tooth profile parameters by deriving a specific mathematical relationship between the flexible gear tooth profile and the rigid gear tooth profile. This involves calculating the movement locus of the flexible gear teeth and using it to determine the optimal rigid gear tooth profile, thereby achieving zero backlash through precise parameter matching rather than conventional standardized profiles.
Solution Approach 2:
The invention performs preliminary calculation and design of the tooth profiles before manufacturing. The movement locus of the flexible gear teeth is calculated in advance, and based on this pre-calculated locus, the rigid gear tooth profile is determined to ensure perfect meshing and zero backlash from the outset, eliminating the need for post-adjustment.
2Force
If conventional tooth profiles are used in flat wave gear devices with same-number-of-teeth gears, then manufacturing is easier, but ratcheting torque is insufficient
Solution Approach 1:
The invention optimizes the tooth profile parameters to maximize the meshing area and contact between gears. By deriving the tooth profile based on the actual movement locus, the design ensures optimal load distribution and maximizes ratcheting torque while maintaining manufacturability through precise mathematical definitions.
Solution Approach 2:
The invention employs curved tooth profiles rather than straight or conventional profiles. The tooth profiles are designed with specific curvatures that match the movement locus of the flexible gear, creating optimal contact conditions that enhance load capacity and ratcheting torque while ensuring smooth engagement.
3Adaptability or versatility
If the flexible externally toothed gear and rigid internally toothed gear have the same number of teeth, then the device structure is simplified, but adequate tooth profile proposals are lacking
Solution Approach 1:
The invention segments the tooth profile design into two distinct but coordinated parts: the flexible gear tooth profile and the rigid gear tooth profile. Each profile is designed independently based on the movement locus analysis, allowing precise control over the meshing characteristics while maintaining the overall simplicity of the same-number-of-teeth configuration.
Solution Approach 2:
The invention establishes specific mathematical relationships and parameters for the tooth profiles that are tailored to the same-number-of-teeth configuration. By changing the design parameters to account for the unique kinematics of this configuration, the invention achieves both structural simplicity and manufacturing precision simultaneously.
Data Source
AI summary
In a flat wave gear device in which a flexible externally toothed gear and the rigid internally toothed gear have the same number of teeth, an arcuate tooth profile is imparted to a flexible externally toothed gear, a contact point C between tooth profiles of a flexible externally toothed gear and a D-side rigid internally toothed gear is determined from an arc center A of the arcuate tooth profile of the flexible externally toothed gear and from a momentary center S of relative movement between the gears, and a main part of a tooth profile to be formed in the D-side rigid internally toothed gear is calculated based on the contact point. The tooth profile of the D-side rigid internally toothed gear can be accurately designed; therefore, meshing between the gears can occur with zero backlash, ratcheting torque can be increased, and continuous meshing can occur across a wide range of the movement locus of the tooth profiles of both gears. The load capability of the flat wave gear device can accordingly be increased.