摘要
交叉滾子軸承廣泛應用在機器人關節、減速機、旋轉單元、加工中心轉台、醫療設備、精密轉台、測量裝置、製造設備和紡織機械等領域。大型交叉圓柱滾子轉盤軸承還應用於礦山機械、 建築工程機械等大型迴轉台上。本文建立了交叉滾子軸承的結構數學關係模型，對軸承的結構設計參數進行了設計計算。結果表明，通過改進軸承的內部結構可以顯著提高軸承的額定動載荷，從而提高軸承的額定壽命。首先，通過幾何關係式和經典Herz理論，對交叉滾子軸承的滾子與內、外圈接觸問題進行了研究，推導了接觸套圈的應力計算公式以及線接觸橢圓柱面應力分佈的一些重要公式。其次，基於以上理論，對軸承載荷分佈進行了研究，建立了軸承靜態徑向載荷和偏心軸向載荷分析模型。以節圓直徑為440mm軸承為例，分析了徑向和軸向載荷、力矩載荷以及滾子數目對軸承載荷分佈的影響規律。此外還建立了動態徑向載荷分析模型，得出了載荷分佈規律。其次，根據滾動軸承載荷分佈理論和賀茲接觸理論，推導了交叉滾子軸承的額定動負荷和額定靜負荷公式。依據Lundberg-palmgren疲勞壽命理論，建立了疲勞壽命計算模型，並結合工程用的交叉滾子軸承壽命計算模型，計算得出了不同結構參數和載荷參數對軸承疲勞壽命的影響規律。最後，利用優化設計理論，提出滾動軸承壽命優化的目標函數，並且根據理論和實際使用情況確定邊界條件，結合mathematica編寫數學模組，方便在實際設計工作時使用，得出優化結果，提高了軸承壽命。綜上所述，本文對交叉滾子軸承載荷分佈、疲勞壽命和結構優化三方面問題做了一定的研究，其結果具有較重要的理論意義和工程應用價值。
並列摘要
Cross roller bearings are widely used in robot joints, reducers, rotary units, machining center turntable, medical equipment, precision turntable, measuring devices, manufacturing equipment and textile machinery and other fields. Large cross-cylindrical roller slewing bearings are also used in mining machinery, construction machinery and other large rotary table. In this paper, the structural mathematical model of cross roller bearing is established, and the structural design parameters of the bearing are designed and calculated. The results show that by improving the internal structure of the bearing can significantly improve the bearing dynamic load rating, thereby enhancing the bearing life. Firstly, the problem of contact between roller and inner and outer ring of cross roller bearing is studied by means of geometrical relation and classical Herz theory. The stress calculation formula of contact ferrule and the stress distribution of line contact ellipse are deduced. formula. Secondly, based on the above theories, the bearing load distribution is studied, and the static radial load and eccentric axial load analysis model are established. The influence of radial and axial load, moment load and roller number on bearing load distribution is analyzed. In addition, a dynamic radial load analysis model is established, and the law of load distribution is obtained. Secondly, according to the theory of rolling bearing load distribution and Hertz contact theory, the formula of dynamic load and static load of cross roller bearing is deduced. Based on Lundberg-palmgren fatigue life theory, a fatigue life model was established. Combined with the cross-roller bearing life calculation model, the influence of different structural parameters and load parameters on the fatigue life was calculated. Finally, using the theory of optimal design, the objective function of rolling bearing life optimization is proposed. The boundary conditions are determined according to the theory and actual use. The mathematica is used to compile the mathematical module, which can be used in the actual design work, and the optimization result is obtained. . In conclusion, this paper studies the load distribution, fatigue life and structural optimization of cross roller bearings. The results are of important theoretical and engineering value.
參考文獻
延伸閱讀
- 林志明（2002）。滾珠軸承之剛度分析〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu200200561
- Xu, Y., Xia, X., & Nan, X. (2019). 用近代統計學評估滾動軸承工作性能. 中國機械工程學刊, 40(1), 63-72. https://www.airitilibrary.com/Article/Detail?DocID=02579731-201902-201904030008-201904030008-63-72
- Jian, C. W. C. (2008). 軸頸軸承與止推軸承支撐之轉子－軸承系統分岔分析. 中國機械工程學刊, 29(3), 207-214. https://doi.org/10.29979/JCSME.200806.0003
- 劉國堂（2017）。Strategy and practical analysis of rolling bearing damage〔碩士論文，中原大學〕。華藝線上圖書館。https://doi.org/10.6840/cycu201700901
- Yang, C. Y., Kao, W. C., Wang, Y. C., & Sung, C. K. (2019). Novel Design of a Self-Compensating Restrictor for Hydrostatic Bearings. 中國機械工程學刊, 40(6), 675-682. https://www.airitilibrary.com/Article/Detail?DocID=02579731-201912-202002210002-202002210002-675-682