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超短筒谐波齿轮柔轮筒底负载应力研究
Research on Load Stress in Bottom of Ultra-short Flexsplines of Harmonic Drives
【摘要】 为了揭示负载状态下超短筒柔轮筒底应力的分布规律,提出了柔轮筒底负载等效应力的理论计算方法。将柔轮筒底简化为中心固支圆板,建立了波发生器作用下柔轮筒底的弯曲对称变形模型,求解由装配变形引起的弯曲正应力和剪应力及负载转矩作用下的剪应力;基于Mises屈服准则,获得柔轮筒底负载等效应力的理论表达式;建立有限元模型,对柔轮筒底装配和负载应力的理论解进行数值验证。研究表明,弯曲径向正应力为柔轮筒底装配应力的主要应力;额定转矩作用下的柔轮筒底剪应力在45°处最大;随着负载转矩的增大,最大剪应力逐渐过渡到固定端,等效应力在固定端均匀分布;在瞬时容许最大转矩时,剪应力为筒底负载等效应力的主要应力。研究可为柔轮筒底强度设计提供指导。
【Abstract】 In order to reveal the stress distribution law of a bottom of the ultra-short flexspline under load,a theoretical calculation method of the load equivalent stress of the bottom of the flexspline is proposed. The flexural and symmetrical deformation model of flexural cylinder under the action of wave generator is established,and the flexural normal stress and shear stress caused by assembly deformation and shear stress under the load torque are solved. Based on the Mises yield criterion, the theoretical expression of the load equivalent stress at the bottom of the flexspline is obtained. The finite element model is established and the theoretical solutions of the assembly and load stress at the bottom of the flexspline are verified numerically. The results show that the bending radial normal stress is the main stress of the assembly stress at the bottom of the flexspline cylinder; the maximum shear stress at the bottom of the flexspline under the rated torque is at 45°; with the increase of the load torque, the maximum shear stress gradually passes to the fixed end, and the equivalent stress is evenly distributed at the fixed end. The shear stress at the maximum instantaneous allowable torque is the principal stress of the equivalent stress at the bottom of the flexspline, which provides guidance for the strength design of the bottom of the flexspline.
【Key words】 Ultra-short flexspline; Load stress; Assembly stress; Finite element model of the shell element;
- 【文献出处】 机械传动 ,Journal of Mechanical Transmission , 编辑部邮箱 ,2024年02期
- 【分类号】TH132.43
- 【下载频次】17