Comparative analysis of root bending stress between spur gears with symmetric and asymmetric involutes
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摘要: 非對稱漸開線直齒圓柱齒輪作為一種新型的齒輪.無法通過現有的解析法對其齒根彎曲應力強度進行計算.通過分析其輪齒齒廓結構特點,以平截面法為基礎,建立了一種新的求解方法,推導出該類齒輪齒根彎曲應力解析法計算公式.以相同模數及齒數的對稱、非對稱齒輪為研究對象,在相同工作狀況下,分別通過解析法和有限元法,對對稱、非對稱漸開線直齒圓柱齒輪正向、反向旋轉過程中輪齒齒根的彎曲強度進行了研究.取嚙合齒輪對一個嚙合周期內的五個特殊位置點,對兩種齒輪輪齒兩側齒根彎曲應力進行了對比分析.最后通過階梯增載疲勞試驗法,對兩類齒輪進行了輪齒齒根的彎曲疲勞強度試驗,通過試驗數據對理論分析結果進行了驗證.Abstract: The spur gear with an asymmetric involute is a new kind of gear. Its bending stress could not be calculated by existing analytical methods. Through analyzing the tooth profile characteristics, a solving method of bending stress for the gear was proposed on the basis of the plane cross-section method, and an analytical formula was derived to calculate the root bending stress of tile gear. Spur gears with symmetric and asymmetric involutes, with the same module and teeth numbers, were as the research objects. In the same working conditions, the bending strengths of the two gears were studied by the analytical method and finite element method during forward and reverse rotation. Five special positions were selected during the meshing period and their bending stresses on both sides were analyzed comparatively. Finally, by the ladder loading fatigue test method, the two gears were tested in tooth root bending fatigue strength experiment. The experimental data verified the theoretical analysis result.
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Key words:
- gears /
- bending strength /
- stress analysis /
- analytical methods /
- finite element method /
- fatigue testing
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