Strength Calculation of Planar Double-Enveloping Hourglass Worm Gears
-
摘要: 为了简化平面二次包络环面蜗杆传动承载能力的计算方法,基于 Hertz理论,应用线性回归法和插值 法,推导了平面二次包络环面蜗杆传动接触强度计算公式;考虑齿间载荷分配系数的影响,修正了普通圆柱蜗杆 传动弯曲强度计算公式;根据蜗杆副有限元网格模型,分析了轮齿应力分布.结果表明:解析式计算的平面二次 包络环面蜗杆传动接触强度(弯曲强度)比有限元分析结果大6%~16%,满足工程使用的要求;蜗轮齿面接触 应力沿接触线呈倾斜L型分布;蜗杆载荷从1Nm 增大至额定值时,5对齿啮合的最大齿间载荷分配从 32.4%降至27.5%.Abstract: In order to simplify the calculation method for bearing capacity of planar double enveloping hourglass worm gears, a contact stress analytic formula for the worm drive was proposed through regression analysis and interpolation method based on the Hertz theory. The bending strength calculation formula was improved by taking into consideration the load distribution coefficient among the meshing teeth. According to the contact finite element model of the worm-gears, three-dimensional stress distribution of the gears was obtained. The results show that the contact stress (or bending strength) obtained by the analysis formula is 6%—16% larger than that by the finite element method, and the analysis formula can meet the requirements for engineering use. The contact stress distribution is in a declining L shape along the contact line. As the load of the worm gear increased from 1 N·m to the rated value, the maximal load distribution coefficient among 5 pairs of meshing gears decreased from 32.4% to 27.5%.
-
Key words:
- worm gears /
- stress distribution /
- finite element method /
- bearing capacity
期刊类型引用(5)
1. 徐强,姚文斌,陈健云,张天然,曾祥兴. 考虑坝体材料参数随机性的拱坝易损性分析. 人民长江. 2023(12): 202-210+224 . 百度学术
2. 缪惠全,李杰. 基于物理机制的随机地震动场中供水管网抗震功能反应分析. 工程力学. 2022(07): 99-108+204 . 百度学术
3. 杨思昭,王宪杰. 基于材料参数更新的RC框架结构时变易损性分析. 建筑结构. 2021(15): 54-61 . 百度学术
4. 杨思昭,王宪杰,董艳秋,王希,龙诗琪,周潇凡. 一般大气环境下锈蚀钢筋混凝土梁的时变可靠度分析. 计算力学学报. 2020(04): 504-510 . 百度学术
5. 徐强,徐舒桐,陈健云,李静,贾启彬. 基于耐震时程法的重力坝失效概率密度演化分析. 工程科学与技术. 2019(02): 28-37 . 百度学术
其他类型引用(6)
-

计量
- 文章访问数: 1655
- HTML全文浏览量: 71
- PDF下载量: 852
- 被引次数: 11