小口径涡轮钻具减速器非对称齿轮弯曲强度分析

Bending strength analysis for the asymmetrical gear of the small diameter turbodrill reducer

摘要:

小口径涡轮钻具减速器是小井眼深井钻探钻具的重要部件，具有体积小、承载大的特点。采用非对称齿轮代替传统齿轮是提高减速器承载能力的有效手段。非对称齿轮两侧的齿根圆角半径和压力角是区别于对称齿轮的关键参数，通过改变齿轮的齿形结构进而影响了齿轮的齿根弯曲强度。为了进一步研究齿根圆角半径和工作侧压力角对齿根弯曲应力的影响规律，以φ127 mm涡轮钻具减速器中太阳轮为研究对象，建立非对称齿轮的受力模型，基于平截面法得到非对称齿轮齿根弯曲应力的理论计算公式，并通过有限元法对对称齿轮和非对称齿轮进行对比分析，仿真结果表明：增大齿根圆角半径能增大齿轮齿根过渡曲线的曲率半径，从而改善齿根处的应力集中；工作侧压力角的增大能有效降低齿根弯曲应力，但压力角超过一定值时，齿根弯曲应力逐渐趋于稳定。理论分析和仿真结果基本吻合，研究结果可以为优化减速器非对称齿轮的主要参数提供依据和参考。

Abstract:

The small diameter turbodrill reducer is an important part of the tool for deep hole drilling. Replacing traditional gears with asymmetric gears is an effective way to increase the load capacity of the reducer. The root radius and pressure angle on the working sides of the asymmetric gear are the key parameters of the symmetric gear. In order to further study the influence of the root radius and the pressure angle on the working side on the bending stress, the solar gear in the 127mm diameter turbodrill reducer is used as the research object to establish a force model of the asymmetric gear with the theoretical calculation formula for the bending stress of the asymmetric gear. established by the plane cross section method. Through the finite element method, the symmetrical gear and the asymmetric gear are compared and analyzed. The simulation results show that as the root radius increases, the radius of curvature of the gear root transition curve increases; thus, improving the bending stress concentration. Increasing the pressure angles on the working side can effectively reduce the bending stress; however, when the pressure angle exceeds a certain value, the bending stress gradually tends to be stable. The theoretical analysis is in good agreement with the simulation results, and the research conclusions can provide the basis and reference for optimizing the main parameters of the asymmetric gear.