WFS Mini Double Gearbox Harmonic Reducer-Fubao Mechanical

PRINCIPLE OF HARMONIC GEAR REDUCER

Harmonic drive was invented by American inventor C. Walt Musser in mid-1950s.

1. Composition of harmonic gearbox

harmonic gearbox has three basic components: a wave generator, a flex spline and a circular spline.

Wave generator: it is made up of a ball bearing and an elliptical cam.The wave generator is usually attached to the input end, the inner ring of the bearing is fixed around the cam causing the outer ring of the bearing deforms to an elliptical shape.

Flex spline: it is an elastic thin-walled component with gear teeth on outer surface . It is usually fitted to output end .

Circular spline: it is a rigid steel ring with internal teeth. It usually has two more teeth than the flex spline, and generally mounted onto a housing.

2. Principle of harmonic gearbox

As a reducer, the harmonic gearbox is often in a status as: the wave generator drives, the circular spline is fixed, the flex spline is output end.

When the wave generator is put inside of the flex spline, the flex spline is forced into an elliptical shape causing the flex spline teeth to engage with the tooth profile of the circular spline along the major axis of the ellipse, with the teeth completely disengaged across the minor axis of the ellipse.

The rotation of the wave generator makes the flex spline deform continuously, the teeth change operating state in the process of engagement and disengagement, thus the motion transmission between wave generator and flex spline is realized

3. Characteristics of harmonic gearbox

1. High accuracy: a good percentage of its teeth are meshed at all times, and are engaged at two zones 180 degrees apart. This means influences of tooth pitch errors and accumulated pitch errors on rotational accuracy are neutralized, which assures high positional and rotational accuracy.

2. High speed reduction ratio: a harmonic gearbox has high single-stage reduction ratios of 1/30-1/500.Three basic components along same axle without complex structures can provide high reduction ratios.

3. High torque capacity: each tooth is subjected to a negligible amount of force yet provides a high torque capacity because of the way the teeth come into contact with each other and because a good percentage of the teeth in the flex spline are engaged at all times.

4. Small-sized and light weight: while being less the size of conventional gearing mechanisms and less the weight, the harmonic gearbox provides the same levels of torque and speed reduction ratios as its conventional counterparts enabling machinery and equipment to be made smaller and lighter.

5. Superior efficiency and long life time.

6. Quiet and minimal vibration operation.

Wave generator

flex spline

Circular spline

characteristics of harmonic reducer gearbox

The flex spline is forced into an elliptical shape by the wave generator causing the flex spline teeth to engage with the tooth profile of the circular spline along the major axis of the ellipse, with the teeth completely disengaged across the minor axis of the ellipse.

As the wave generator rotates clockwise with the circular spline fixed, the flex spline is subjected to elastic deformation and its tooth engagement position moves turning relative to the circular spline.

As the wave generator rotates 180 degrees dock wise, the flex spline moves counterclockwise by one tooth relative to the circular spline.

For every one full rotation clockwise (360 degrees) of the wave generator, the flex spline moves counterclockwise by two teeth relative to the circular spline because the flex spline has two fewer teeth than there are on the circular spline. in general, this movement is treated as output performing.

Mesh tooth by tooth progress

Gear toothing capacity increased by 15%
Temperature rise decreased by 8-10 degrees
Reduced gear fatigue pitting contact area
Service time exceeded 15000 hours

About WS tooth profile

We have made some upgrades based on the traditional theoretical double arc profile. The tooth profile formed by the original two curve continuous arc curve is optimized as a continuous arc curve with multiple segments of curvature. To ensure that the gears of reducer are properly meshed, while protecting the risk of grease failure after grease is squeezed by reducing relative sliding friction.

Based on the δ tooth shape, the load capacity is increased by 15%, the temperature rise is reduced by 8-10 degrees, the gear fatigue pitting contact area is reduced by more than 30%, continuous running and service life is over 15000 hours, which improves the overall performance of the harmonic gearbox.

During development, the formation of the soft tooth profile can be determined by the radial displacement of the genera tor. Different gear reduction ratios can be fitted with various tooth profiles And the mesh backlash can be conveniently adjusted according to actual conditions. Keep the gearbox in the best working condition.

Different gear reduction ratios can be fitted with various tooth profiles

About Fubao Harmonic Reducer

Dongquan Fubao Motor Technology Co.,Ltd, is a specialized company engaged in the research and development of high-precision harmonic gearbox. The company has 30000 square meters of standard plant, using the world's top production and inspection equipment, and has strict quality control in all links from raw materials to finished products, so as to ensure the quality of products.

Completely independent development, the company's R& D center has been identified as the provincialR& D center of high-tech enterprises. In the field of harmonic drive, has a number of national invention patents and national utility model patents.

The precision harmonic gearbox developed and produced by our company has the characteristics of high reliability, high precision, high torque, long service life, large speed ratio, small volume, etc. the products are widely used in the fields of robot, aerospace equipment, CNC machine tools, semiconductor manufacturing equipment, precision machinery automation control, etc., and are committed to changing the world's automation pattern.

Naming Rules

WSS-

14-

100-

U/C-

I-

Series

Type

Reduction ratio (Note1)

Structure code
U: Completely unit
C: Component

I: Simple Standard Type
II: Simple Cross Slider Type

Style
Blank: Standard
M: Compact Mini

Series	Type	Reduction ratio(Note 1)					Structure Code		Style
WSS WSN WSG WSD WFS	11	50	80	100	null		U: Completely unit C: Component	I: Simple Standard Type II: Simple Cross Slider Type	Blank: Standard M: Compact Mini
	14	50	80	100	120
	17	50	80	100	120
	20	50	80	100	120	160
	25	50	80	100	120
	32	50	80	100	120
	40	50	80	100	120

* Note 1: Reduction ratio indicates of wave generator as inputting, fixing circular spline, and flex spline as outputting.

Seal Ring's Size Description

unit: mr

Series	Model	Circular spline		flex spline
Series	Model	Seal ring size	Slot size	Seal ring size	Slot size
WHT-I WUT-L	14	36.5*0.6	${φ36.5}_{0}^{-0.1}$ ${* φ38}_{+0.1}^{0}$ ${* 0.45}_{+0.1}^{0}$	53*1.5	${φ53}_{0}^{-0.1}$ ${* φ56.8}_{+0.1}^{0}$ ${* 1.15}_{+0.1}^{0}$
	17	45*1	${φ45.5}_{0}^{-0.1}$ ${* φ48}_{+0.1}^{+}$ ${* 0.75}_{+0.1}^{0}$	64*1	${φ64}_{0}^{-0.1}$ ${* φ66.6}_{+0.1}^{+}$ ${* 0.75}_{+0.1}^{+}$
	20	54*1	${φ53.8}_{0}^{-0.1}$ ${* φ56.2}_{+0.1}^{+}$ ${* 0.75}_{+0.1}^{+}$	73*1.5	${φ73}_{0}^{-0.1}$ ${* φ76.8}_{+0.1}^{+}$ ${* 1.15}_{+0.1}^{+}$
	25	68*1	${φ68}_{0}^{-0.1}$ ${* φ70.6}_{+0.1}^{+}$ ${* 0.75}_{+0.1}^{+}$	90*1.5	${φ90}_{0}^{-0.1}$ ${* φ94.2}_{+0.1}^{+}$ ${* 1.15}_{+0.1}^{+}$
	32	88*1.5	${φ88}_{0}^{-0.1}$ ${* φ92}_{+0.1}^{+}$ ${* 1.15}_{+0.1}^{+}$	119*1.5	${φ119}_{0}^{-0.1}$ ${* φ123.1}_{+0.1}^{+}$ ${* 1.15}_{+0.1}^{+}$
	40	108*1.75	${φ108}_{0}^{-0.1}$ ${* φ113}_{+0.1}^{+}$ ${* 1.5}_{+0.1}^{+}$	143*2	${φ142.6}_{0}^{-0.1}$ ${* φ148}_{+0.1}^{+}$ ${* 1.5}_{+0.1}^{+}$

* In order to give full play to the excellent performance of WHT-I/II, please ensure the recommended accuracy as shown in the figure.

Terms and Definitions

Starting torque: It is the minimum torque value applied to the input end at which the harmonic gearbox first starts to rotate with no load.

Backlash: The clearance between flex spline tooth profile and circular spline tooth profile.

Rated torque: It indicates allowable continuous output torque at rated input speed.

Permissible peak torque at start and stop: It's the maximum torque as a result of the moment of inertia of the output load during acceleration and deceleration.

Permissible maximum value for average load torque: It's the maximum torque when the harmonic gearbox keeps continuous operation.

Permissible maximum momentary torque: It is the momentary peak torque the harmonic gearbox may be subjected to the event of a collision or emergency stop.

Permissible maximum input rotational speed: Don't exceed the permissible rating.

Permissible average input rotational speed: It's the average value of input speed.

	At startup (MAX)	When stable	When stopped (MAX)	When emergency stop impact
Load torque (N_m)	T₁	T₂	T₃	T_em
Speed (r/min)	N₁	N₂	N₃	N_em
Time (sec)	t₁	t₂	t₃	t_em

The wave generator includes a structure of a European-style coupling with a self-aligning structure and an integrated type without an automatic self-aligning structure, and varies depending on the series. For details, please refer to the outline drawing of each series.

Basic structure and shape of wave generator shown as below

Cross sliding block typeUnibody

Structure of cross sliding block type-using European coupling structure

Holder of flexible bearing
Flexible baring
Wave generator
Cross sliding block
Gasket
Ring-shield
Power input shaft

Axial force and axial fixation of wave generator

The axial force on wave generator begins to work due to elastic deformation of flex spline.

When used as a reducer. the axial force moves towards to the inside of the flex spline.

When used as a speed increaser, the axial forces movement is opposite to the direction of the deceleration.

The design of prevent axial force of wave generator shall be adopted under any conditions of usage.

* Please make sure to consult with the authorized distributor when setting the stop screw and fixing it to the input axial on the wave generator.

Axial force direction during deceleration and decelerating

Maximum apperture size of the unibody wave generator

The standard aperture of the wave generator has shown in the outline drawing, the alteration can be

made within maximum size range shown in the table.

We suggest to use GB standard for keyway size. The key's effective length dimension should be designed to fully withstand the value of the transmitted torque.

Model	11	14	17	20	25	32	40
Standards size (H7)	5	6	8	9	11	14	14
Minimum size	-	3	4	5	6	6	10
Maximum size	-	8	10	13	15	15	20

* The aperture of the wave generator can be customized according to customer requirements. Please contact with the authorized distributor in case of any changes in the table

Maximum apperture size of the unibody wave generator

Installation Procedure

Installation of WSS series

Install the reducer as the arrow shows Installation of WSS series

Fill grease here

Seal between the input fixed end and circular Installation of WSS series

The first method of installation for WHT-I/II series reducer

The second method of installation for WHT-I/II series reducer

Install the reducer as the arrow shows The second method of installation for WHT-I/II series reducer

Fill grease here

Seal between the output end and flex spline Seal between the input fixed end and circular spline The second method of installation for WHT-I/II series reducer

Fill grease in the flex spline cavity

The connecting and fixing method of wave generator

1. Input shaft has a shaft shoulder, it can be connected with wave generator directly. As shown in the figure.

2. Input shaft has a shaft shoulder, but it's too long. You can add a space ring on the shaft (the parallelism of space ring should be within 0.01mm), then connect and fix the wave generator. As shown in the figure.

3. Input shaft has no shaft shoulder. Fix a connection gasket on the wave generator, then connect and fix with the input shaft. As shown in the figure.

4. The fixing method is suitable for small models, optical axis input. Input shaft inserted into the wave generator, then connect and fix it through the thimble screw on wave generator. As shown in the figure.

Assembly Considerations

Assembly procedure

Instals the circular spline and flex spline on the device, and then instal the wave generator. Otherwise it may cause stuffing damage to the gear teeth or improper eccentric gear mesh. Please pay close attention to it.

Correct assembly steps

flex spline/CRB outer ring

Wave generator

Circular spline/CRB inner ring

Wave generator

CRB: cross roller bearing

Precaution on wave generator

1. Please avoid applying undue force on the bearing on wave generator during assembly. We suggest to rotate the wave generator while inserting, it will case the process.

2. If the wave generator does not have an oldham coupling, extra care must be given to ensure that concentricity and inclination are within the specified limits.

Precautions on circular spline

1. Mounting surfaces need to have adequate flatness, smoothness, and no distortion.

2. Especially in the area of the screw holes, burrs or foreign matter should not be present.

3. Please make sure the chamfering and avoidance machining are performed on the housing assembly, to avoid the interference with the circular spline.

4. The circular spline should be rotatable within the housing. Be sure there is no interference and it does not catch on anything.

5. When mounting the bolt, make sure the bolt hole is correct and aligned Bolts should rotate freely when tightening and should not have any irregularity due to the bolt hole being misaligned or oblique.

6. Don't tighten the bolts with the specified torque all at once. Tighten the bolts temporarily with about half the specified torque, and then tighten them with the specified torque. Tighten them in an even, crisscross pattern.

7. Avoid pinning the circular spline if possible as it can reduce the rotational precision and smoothness of operation.

Precautions on flex spline

1. Mounting surfaces need to have adequate flatness, smoothness, and no distortion.

2. Especially in the area of the screw h oles, burrs or foreign matter should not be present.

3. Please make sure the chamfering and avoidance machining are performed on the housing assembly, to avoid the interference with the circular spline.

4. When mounting the bolt make sure the bolt hole is correct and aligned. Bolt ros should tate freely when tightening and should not have any irregularity due to the bolt hole being misaligned or oblique.

5. Don't tighten the bolts with the specified torque all at once. Tighten the bolts temporarily with about half the specified torque, and then tighten them with the specified torque. Tighten them in an even, crisscross pattern.

6. Avoid unilateral meshing and deviation when assembling with circular spline.

Rust prevention

The complete assembly unit has no rust prevention on surface. Please daub anti-rust if needed. Besides, if an anti-rust product is needed, please contact with the authorized distributor.

Assembly accuracy of WSS series

To make sure LSS series play its excellent performance when assemble, please make sure to use the following accuracy.

Recommended accuracy of the assembled housing

unit: mm

Symbol / Model	14	17	20	25	32
a	0.011	0.015	0.017	0.024	0.026
b	0.017	0.020	0.020	0.024	0.024
b	(0.008)	(0.010)	(0.010)	(0.012)	(0.012)
c	0.030	0.034	0.044	0.047	0.050
c	(0.016)	(0.018)	(0.019)	(0.022)	(0.022)

b.c is the value of the unibody generator (I series) and the cross slider generator (II series). The value in ( ) is the value of the unibody generator (I series)

Assembly accuracy of WHT series

To make sure LHT-I/II series play its excellent performance when assemble, please make sure to use the following accuracy.

unit: mm

Symbol / Model	14	17	20	25	32	40
a	0.011	0.015	0.017	0.024	0.026	0..026
b	0.017	0.020	0.020	0.024	0.024	0.032
b	(0.008)	(0.010)	(0.010)	(0.012)	(0.012)	(0.012)
c	0.030	0.034	0.044	0.047	0.050	(0.050)
c	(0.016)	(0.018)	(0.019)	(0.022)	(0.022)	(0.024)

b.c is the value of the unibody generator (I series) and the cross slider generator (II series). The value in ( ) is the value of the unibody generator (I series)