﻿ 渐开线弧齿圆柱齿轮副抗偏载特性的研究 Anti-Bias Load Capacity Analysis of the Involute Arc Cylindrical Gear

Mechanical Engineering and Technology
Vol.04 No.03(2015), Article ID:16083,8 pages
10.12677/MET.2015.43023

Anti-Bias Load Capacity Analysis of the Involute Arc Cylindrical Gear

Zuqi Liu, Aiping Song, Yihan Zhang, Chao Luo

College of Mechanical Engineering, Yangzhou University, Yangzhou Yangzhou

Email: zqliu8@163.com

Received: Sep. 3rd, 2015; accepted: Sep. 16th, 2015; published: Sep. 23rd, 2015

ABSTRACT

The processing errors, installation errors and deformation often lead to Gears partial load during gear pair transmission process. The paper analyzes generating mechanism of partial load and limitations of gear modification about the spur gear pair as well as the Helical Gear Pair, proposing to use this new arc cylindrical gear to improve the carrying capacity and anti-bias load capacity of the auxiliary drive gear. The paper analyzed the principle of anti-bias arc cylindrical gear carrier based on the geometric characteristics of the arc cylindrical gear, using the finite element method to analyze the stress of straight teeth, Helical and arc tooth cylindrical gear pairs respectively, showed that the arc cylindrical gear pairs can significantly improve the stress state of tooth surface, with a clear anti-side load characteristics.

Keywords:Arc Cylindrical Gear, Anti-Bias Load Capacity, Finite Element Analysis

Email: zqliu8@163.com

1. 偏载的影响与减少方法

1.1. 偏载的影响

1.2. 减少偏载方法

1.3. 弧齿圆柱齿轮的提出

2. 齿轮偏载形成主要原因

2.1. 齿轮材料受载后的扭转弹性变形

Figure 1. The involute arc cylindrical gear

Figure 2. Load distribution of gear material

2.2. 齿轮轴、轴承及轴承座孔的中心轴线误差

3. 弧齿圆柱齿轮

3.1. 弧齿圆柱齿轮几何特征

3.2. 弧齿轮抗偏载几何特性分析根据弧齿圆柱齿轮的齿面方程可以推导出齿轮副的齿面接触线方程。

(a) (b)

Figure 3. Involute arc cylindrical gear tooth profile

(a) (b)

Figure 4. The meshing of involute arc cylindrical gears: (a) The gear pair meshing station; (b) The contact lines of tooth surface

4. 有限元分析验证

4.1. 理想啮合状态下接触面等效应力对比

(a) (b) (c)

Figure 5. The meshing line of the involute arc cylindrical gears: (a) The radius of tooth surface; (b) The meshing line of Rt slightly larger than rt; (C) The front view of Figure5 (b)

(a) (b)

Figure 6. The change of meshing line of the gear pair with 1 degrees of error in the vertical direction: (a) Helical cylindrical gear pair; (b) The involute arc cylindrical gear pair

4.2. 模拟实际工况下的啮合

(1) 弧齿圆柱齿轮因啮合时重合度大，等效应力比直齿圆柱齿轮、斜齿圆柱齿轮小。

(2) 弧齿圆柱齿轮能有效地降低齿轮偏载的影响，减小啮合面的应力集中。

Figure 7. Equivalent stress in the ideal meshing of helical cylindrical gear pair

Figure 8. Equivalent stress in the ideal meshing of spur cylindrical gear pair

Figure 9. Equivalent stress in the ideal meshing of involute arc cylindrical gear pair

Figure 10. Deviation installation of gear pair

Figure 11. Equivalent stress in deviation installation of involute arc cylindrical gear pair

Figure 12. Equivalent stress in deviation installation of helical cylindrical gear pair

Figure 13. Equivalent stress in deviation installation of spur cylindrical gear pair

Figure 14. Experimental apparatus to verify the anti-side load characteristics of the involute arc cylindrical

5. 结束语

Anti-Bias Load Capacity Analysis of the Involute Arc Cylindrical Gear. 机械工程与技术,03,209-217. doi: 10.12677/MET.2015.43023

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