Xian Zhang, Changming Zhang, Peng Wang, Fan Yang, Chunlei Peng
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引用次数: 0
Abstract
Purpose
The purpose of this paper is to analyze the stiffness reliability of harmonic drive (HD) considering contact pairs wear.
Design/methodology/approach
In terms of theoretical calculation, the contact pairs wear of HD are calculated based on Archard wear formula and the relative motion characteristics of contact pairs. According to the motion trajectory of flexspline teeth, the teeth backlash and the number of meshing teeth, the meshing stiffness and overall stiffness of HD are analyzed considering the wear and its randomness of contact pairs. Combined with Monte Carlo Simulation, the stiffness reliability evaluation method considering contact pairs wear is proposed, and the result of this method is verified by the stiffness reliability result deduced from the stiffness degradation measurement data.
Findings
Considering contact pairs wear, during operation, the teeth backlash increases, the number of meshing teeth decreases, the meshing stiffness decreases, ultimately leading to a gradual decrease in the overall stiffness of HD. When only one type of contact pair wear is considered, the influence of flexspline and circular spline contact pair wear on HD stiffness reliability is greater. Compared with the stiffness reliability evaluation results obtained from the stiffness degradation data in the literature, the mathematic expectation of stiffness degradation failure life distribution obtained from the proposed method is relatively bigger.
Originality/value
The stiffness reliability evaluation method of HD considering contact pairs wear is firstly proposed. The stiffness reliability evaluation result from theoretical calculation is verified by the stiffness reliability results deduced from HD stiffness degradation measurement.
设计/方法/步骤在理论计算方面，根据 Archard 磨损公式和接触对的相对运动特性计算谐波传动（HD）的接触对磨损。根据挠性齿的运动轨迹、齿间隙和啮合齿数，考虑接触对的磨损及其随机性，分析了 HD 的啮合刚度和整体刚度。结合蒙特卡罗模拟，提出了考虑接触对磨损的刚度可靠性评估方法，并通过刚度退化测量数据推导出的刚度可靠性结果对该方法的结果进行了验证。研究结果考虑到接触对磨损，在运行过程中，齿背间隙增加，啮合齿数减少，啮合刚度降低，最终导致 HD 整体刚度逐渐降低。如果只考虑一种接触对磨损，则挠性花键和圆花键接触对磨损对 HD 刚度可靠性的影响更大。与文献中根据刚度退化数据得到的刚度可靠性评价结果相比，本文提出的方法得到的刚度退化失效寿命分布的数学期望值相对较大。 原创性/价值 首次提出了考虑接触对磨损的 HD 刚度可靠性评价方法。理论计算得出的刚度可靠性评估结果通过 HD 刚度退化测量推导出的刚度可靠性结果得到了验证。
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