CAJ | 학술논문

不考虑润滑剂影响，针对理想渐开线直齿圆柱齿轮，研究存在齿面磨损时齿轮啮合刚度的计算方法。基于齿轮共轭啮合原理计算滚齿加工条件下的齿廓曲线。根据 Timoshinko 梁理论，考虑轮齿弯曲变形、剪切变形、压缩变形、齿轮基体变形和赫兹接触变形，计算齿轮啮合刚度。针对运行过程中的齿面磨损，提出轮齿等弧长离散方法，分析齿面磨损对离散微元短梁的截面面积、截面面积矩和实际接触齿宽的影响，计算分析存在均匀磨损、微点蚀和宏观点蚀等齿面磨损时的齿轮啮合刚度。结果表明，100μm深的均匀磨损导致的啮合刚度变化不到2‰；齿面产生15%的微点蚀时，啮合刚度变化在10%以内，啮合刚度对早期齿面磨损不敏感。本研究为计及齿面磨损的齿轮动力学建模提供了一条技术路径。
불고필윤활제영향，침대이상점개선직치원주치륜，연구존재치면마손시치륜교합강도적계산방법。기우치륜공액교합원리계산곤치가공조건하적치곽곡선。근거 Timoshinko 량이론，고필륜치만곡변형、전절변형、압축변형、치륜기체변형화혁자접촉변형，계산치륜교합강도。침대운행과정중적치면마손，제출륜치등호장리산방법，분석치면마손대리산미원단량적절면면적、절면면적구화실제접촉치관적영향，계산분석존재균균마손、미점식화굉관점식등치면마손시적치륜교합강도。결과표명，100μm심적균균마손도치적교합강도변화불도2‰；치면산생15%적미점식시，교합강도변화재10%이내，교합강도대조기치면마손불민감。본연구위계급치면마손적치륜동역학건모제공료일조기술로경。
Without considering the effect of lubricant, a computational method of mesh stiffness of a gear pair with tooth surface wear is developed for ideal cylindrical spur gear. The coordinates of tooth profile curves processed by a hobbing machine are obtained according to conjugate engagement theory. Based on the theory of Timoshenko beam, the mesh stiffness is calculated in consideration of bending, shearing and compressing, contacting and fillet-foundation deformation. Discrediting the tooth profile curve according to the equal-arc method is proposed aimed at wear of gear teeth in running process, and then effects of tooth wear on the cross-sectional area, area moment of inertia and real width of contact of a short discrete beam element are taken into account to calculate and analyze mesh stiffness with uniform wear, pitting and micro-pitting. The results show that the decrease of mesh stiffness caused by 100μm uniform wear is less than 2‰ and 15% micro-pitting results in a less than 10% variation of mesh stiffness. Mesh stiffness is not sensitive to early wear of gear teeth. This study is useful to improve the accuracy of dynamic modeling of a gear pair with tooth surface wear.