重庆理工大学学报2026，Vol.40Issue(5)：91-97,7.DOI:10.3969/j.issn.1674-8425(z).2026.03.011
新型谐波减速器圆弧-抛物线齿廓设计及数学模型
Design and mathematical model of new harmonic reducer with circular-parabolic tooth profile
摘要
Abstract
As precision transmission devices,harmonic reducers are widely applied in industrial automation and robotics.However,traditional tooth profiles still have limitations in terms of load capacity and meshing performance.To improve the instantaneous meshing number and meshing stability,this paper proposes a new harmonic reducer with a circular-parabolic tooth profile.First,the mathematical model of the parabolic curve segment is derived based on the principle of harmonic drive and the coordinate transformation method.Then,a new method for designing the flexible tooth profile of the harmonic reducer is developed based on geometry and kinematics theories.The conjugate meshing relationship between the flexible and the rigid wheels is built and tooth profile equation of rigid wheel is further derived.Finally,the verification of interference-free contact of the conjugate tooth profiles is proposed.By integrating Matlab numerical calculation with UG modeling technology,the parameterized design and solid model construction of the flexible wheel,rigid wheel,and wave generator are completed.This paper may provide some insights into improving the load capacity of harmonic reducers.关键词
谐波减速器/圆弧齿廓/抛物线齿廓/参数化设计/实体模型Key words
harmonic reducer/circular-arc tooth profile/parabolic tooth profile/parametric design/solid models分类
机械制造引用本文复制引用
梁栋,刘博宇,孟胜,刘赟,徐向阳,陈仁祥..新型谐波减速器圆弧-抛物线齿廓设计及数学模型[J].重庆理工大学学报,2026,40(5):91-97,7.基金项目
国家自然科学基金项目(52175042) （52175042）
重庆市教委科学技术研究重大项目(KJZD-M202400705) （KJZD-M202400705）
重庆市技术创新与应用发展重大专项(CSTB2023TIAD-STX0038) （CSTB2023TIAD-STX0038）
重庆市自然科学基金创新发展联合基金重点项目(CSTB2023NSCQ-LZX0127) （CSTB2023NSCQ-LZX0127）
