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楼主: zengxiaodong
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[滚齿] 滚齿、插齿、顶切、根切、内外啮合传动————动画

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 楼主| 发表于 2023-1-26 17:16 | 显示全部楼层
在面齿轮传动中,圆柱齿轮的开线齿面具有等距性。传动过程中的安装误差在面齿轮传动过程中不会产生传递误差,但在锥齿轮传动中会有,这种优势对传动过程中运动的准确传递是非常有利的。但是安装误差的存在,会引起接触轨迹线的偏移,所以必须在面齿轮传动中采取将接触痕迹限制在局部的措施;面齿轮传动中将接触痕迹限制在局部后,可以实现大小齿轮齿面之间的点接触传动,这样的面齿轮传动仍可以在传动过程中保持传动比的恒定,传动过程中的噪声和振动都会大大降低。



端面齿轮接触线动画.gif





关于面齿轮的详尽讨论,请参见
http://www.gearbbs.net/forum.php?mod=viewthread&tid=19488&extra=&page=24
 楼主| 发表于 2023-1-27 08:34 | 显示全部楼层
斜齿轮与直齿条的啮合,是线接触而不是点接触,Why?这个问题仔细想想就能明白!



斜齿轮直齿条接触迹线动画.gif

 楼主| 发表于 2023-1-28 07:43 | 显示全部楼层
空间交错齿轮齿条传动,有很多的特殊性,其计算理论似乎也有待完善。这种传动在汽车转向系中用得很多,普通工业领域鲜有应用。

本论坛搜到2篇与此相关的帖子,供参考

http://www.gearbbs.net/forum.php?mod=viewthread&tid=399530

http://www.gearbbs.net/forum.php?mod=viewthread&tid=399463


3篇参考论文

齿轮齿条式转向器结构演变.pdf (263.23 KB, 下载次数: 5)
基于有限元法的斜齿轮齿条啮合接触分析.pdf (583.76 KB, 下载次数: 5)
交错轴变速比渐开线斜齿轮—齿条传动的啮合分析与加工.pdf (371.92 KB, 下载次数: 6)



 楼主| 发表于 2023-1-28 07:55 | 显示全部楼层
power skiving加工外齿轮动画



强力刮齿接触动画.gif
 楼主| 发表于 2023-1-28 14:44 | 显示全部楼层
顺便再补充一个斜齿轮内啮合传动的接触迹线动画


内啮合斜齿接触线动画.gif
发表于 2023-1-30 11:13 | 显示全部楼层
路过学习,都厉害
 楼主| 发表于 2023-1-30 12:26 | 显示全部楼层
zengxiaodong 发表于 2023-1-27 08:34
斜齿轮与直齿条的啮合,是线接触而不是点接触,Why?这个问题仔细想想就能明白!

空间交错的斜齿轮与齿条啮合,虽然仍是线接触,但是齿面间相对滑动速度增加了一个轴向分量,也就是相对滑动速度增加了。
 楼主| 发表于 2023-1-31 08:08 | 显示全部楼层
吴老师这个公众号提到的滚齿动画,在本帖1楼的rar文里面有
https://mp.weixin.qq.com/s/e65gR1NZc2cXfjh4qVeQtA



本帖所有本人原创动画,包括电机、齿轮方面的动画,我整理上传到百度云盘了,供大家参考指正。

链接:https://pan.baidu.com/s/1Or6BjPK9azuc4YvJIjEWwQ?pwd=8bf6
提取码:8bf6




 楼主| 发表于 2023-2-1 10:50 | 显示全部楼层
Worm Gear Generation and their Manufacturing Tools

The question will be answered considering the different possibilities in profile form, kind of mesh, and type of tools. Figure 1 contains the general nomenclature used to define the geometry parameters.

无标题.png


Worm gear drives can be separated in three categories:

Case A. Crossed helical worm gear drives
Case B. Cylindrical worm gear drives
Case C. Double-enveloping worm gear drives

无标题.png

Cylindrical worm gear drives “B” are the most common form. Their tooth profiles of the worms depend on the manufacturing method. The different profile forms according to DIN 3975 are:

ZI:
Tooth profile in face section is an involute; manufactured, for example, by hobbing,like a cylindrical pinion. The hob for the worm gear manufacturing is a “duplicate” of the worm (however serrated and considering clearance and backlash).

ZA:
Profile is a trapezoid in an axial section; manufactured, for example, by turning.

ZN:
Profile is a trapezoid in a normal section; manufactured, for example, by turning with cutting blade tilted to lead angle of worm.

ZK:
Profile with crowning. Tool is disk cutter with trapezoidal profile, which is tilted to lead angle of worm. Profile crown generated depending on disk cutter diameter.

ZH:
Disk cutter with convex cutting edges, causing hollow flank profiles in axial section on worm teeth. Disk cutter axis is parallel to worm axis (not tilted like ZK).


 楼主| 发表于 2023-2-1 11:08 | 显示全部楼层

We further subdivide the geometry of worm and wheel gearing by classifying the tooth form. We use a two-letter designator to define tooth form geometry. In addition to the various designations of contact, there are five active profile designations typically used worldwide. They are classified as ZA, ZK, ZC, ZN, and ZI. The various profiles are a function of both design application and manufacturing. The tooth form in part defines the interaction between the teeth. It is generally accepted that one would not mix any of the ‘Z’ designates with any other.


ZA: Worm gear with straight-line (trapezoidal) tooth profile in axial section. The tooth sides are slightly convex in the normal section; the cross-section results in the spiral of Archimedes. The elements in the axial section are usually standardized (i.e. mx=m, ax=a). The gearing is produced using lathes or thread-cutting machines (the worm resembles a motion screw with trapezoidal threads). A tool shaped as the basic profile is applied onto the workpiece in the axial plane. With larger γ angles, different cutting angles occur in the forming tool on the lateral edges, which results in unequal cutting-edge loading and blunting. The lateral worm areas can only be sharpened using a special form grinding wheel. Therefore, spiral gearing is used in worms with a low pitch angle (γ<10°) in those cases when tooth sides are not treated thermally and do not require regrinding.


ZN: Worm with a straight-line tooth profile in normal tooth section, namely;

a) On the mean helix of space.

b) On the mean helix of tooth.

In the axial section, tooth sides are slightly convex and the cross-section results in a general evolvent curve (in an extended or shortened evolvent). The elements in the normal plane are standardized, (i.e. mn=m, an=a). The gearing is worked in case with one and in case and with two forming in the normal plane. The cutting angles are identical with great angles γ. Thermally treated sides can be ground using a grinding wheel with straight-line bevel areas on thread grinding machines. This grinding process results in non-straight-line lateral areas which, however, rather approximate the theoretical ones. If also the screw milling cutter used to produce worm gear toothing is subject to this grinding process, the worm and the worm gear create a theoretically proper pair. The common gearing is also suitable for worms with greater angles γ and for worms with thermally treated tooth sides that require regrinding.


ZI: Worm with an evolvent profile (a straight-line tooth profile in a plane tangential to the main cylinder). The tooth sides are convex in both the centerline and normal sections and the cross-section results in an evolvent. The elements in the normal plane are standardized (i.e. mn=m, an=a). The gearing is worked using two tools applied onto the workpiece. The tool cutting edge lies in the tangent direction toward the helix on the main cylinder. The evolvent gearing is used in worms with a higher number of teeth (e.g. z1 > 4); the worm resembles a cylindrical gear with helical teeth. Tooth sides can be ground with the flat side of the grinding wheel. Special grinding machines must be used given the relatively small angle γ.


ZK: Profile formed by a cone ground using a wheel and / or shank tool.


ZH: Concave tooth profile (highest accuracy / precision and most expensive).


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