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Design and analysis of three-term cosine cam wave generators for harmonic reducers
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Wei WANG, Ruiliang ZHANG, Huaizhe XU, Yuxin WANG
Journal of Mechanical Transmission | 2026, 50(1) : 119 - 125
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Journal of Mechanical Transmission | 2026, 50(1): 119-125
Design·Calculation
Design and analysis of three-term cosine cam wave generators for harmonic reducers
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Wei WANG, Ruiliang ZHANG, Huaizhe XU, Yuxin WANG
Affiliations
  • Gear Research Institute, Taiyuan University of Technology, Taiyuan030024, China
Published: 2026-01-15 doi: 10.16578/j.issn.1004.2539.2026.01.015
Outline
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Objective

The wave generator, as the driving component, has its profile curve directly affecting the deformation and stress distribution of the flexible wheel. To reduce the stress on the flexible wheel and improve its fatigue performance, a design method for a three-term cosine cam wave generator was proposed.

Methods

The profile curve of the three-term cosine wave generator was composed of a constant term, represented by the base circle radius, and three cosine terms superimposed. By using the curvature variation coefficient at the major axis, the correction factor at the minor axis, and the clearance of the flexible bearing as variable parameters, the influence of these parameters on the performance of the wave generator was analyzed, and the optimization of a specific harmonic reducer model was validated. Finite element analysis was performed on the flexible wheel structure after incorporating the new cam structure under expansion, no-load, and loading conditions, and comparisons were made with the pre-optimized structure to analyze the stress distribution on the flexible wheel.

Results

The finite element results indicate that, compared to the traditional cosine wave generator, the flexible wheel under the three-term cosine wave generator exhibits superior stress performance under various working conditions and achieves longer fatigue life.

Harmonic reducer  /  Three-term cosine cam wave generator  /  Flexible bearing  /  Stress of flexible wheel
Wei WANG, Ruiliang ZHANG, Huaizhe XU, Yuxin WANG. Design and analysis of three-term cosine cam wave generators for harmonic reducers[J]. Journal of Mechanical Transmission, 2026 , 50 (1) : 119 -125 . DOI: 10.16578/j.issn.1004.2539.2026.01.015
Year 2026 volume 50 Issue 1
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Article Info
doi: 10.16578/j.issn.1004.2539.2026.01.015
  • Receive Date:2025-01-17
  • Online Date:2026-05-20
  • Published:2026-01-15
Article Data
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History
  • Received:2025-01-17
  • Revised:2025-03-21
Affiliations
    Gear Research Institute, Taiyuan University of Technology, Taiyuan030024, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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Genus
种数
Number of
species
占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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