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No.000156 Dual Centering Mechanism
33
33
Two parallel hands using two-tier rack and pinion.
Relevant category
Linear Guide
| Product name | Linear Guides - Heavy Load |
|---|---|
| Part number | SX2R24-280 |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
It has the suitable radial clearance and accuracy.
Available sizes
■Linear Guides - Heavy Load
| Material | Hardness |
|---|---|
| Carbon Steel (Alloy Steel including SCM) | 58HRC- |
■Sizes and Dimensions
| Number of Blocks | Block Width | Block Length | Overall Height | Rail Length | |
|---|---|---|---|---|---|
| Standard | With Lubrication Units | ||||
| 1 | 34 | 57 | 66.6 | 24 | 100-1480 |
| 42 | 67 | 76.6 | 28 | 160-1960 | |
| 48 | 83 | 92.6 | 33 | 160-1960 | |
| 52 | 57 | 66.6 | 24 | 100-1480 | |
| 59 | 67 | 76.6 | 28 | 160-1960 | |
| 73 | 83 | 92.6 | 33 | 160-1960 | |
| 2 | 34 | 57 x 2 pcs. | 66.6 x 2pcs. | 24 | 160-1480 |
| 42 | 67 x 2 pcs. | 76.6 x 2pcs. | 28 | 220-1960 | |
| 48 | 83 x 2 pcs. | 92.6 x 2pcs. | 33 | 220-1960 | |
| 52 | 57 x 2 pcs. | 66.6 x 2pcs. | 24 | 160-1480 | |
| 59 | 67 x 2 pcs. | 76.6 x 2pcs. | 28 | 220-1960 | |
| 73 | 83 x 2 pcs. | 92.6 x 2pcs. | 33 | 220-1960 | |
* Please see the product pages for details of selectable sizes.
Selection Steps
■Miniature linear guide selection steps
- Determine Operating Conditions.
- (Moving mass, feed rate, motion pattern, life).
↓
- Temporary selection of linear guide specifications.
- (Temporarily select block type,
Interim selection of overall height and rail length is made.)
↓
- Basic safety check
-
- Allowable Load
- Operating Life
- Preload
Accuracy Info
■Preload and accuracy standards (Normal clearance type)
Normal Clearance Type.
| Overall Height | Radial Clearance (µm) |
|---|---|
| 24 | -4－+2 |
| 28 | -5－+2 |
| 33 | -6－+3 |
| Dimensional Accuracy (µm) | Standard Grade | High Grade | |
|---|---|---|---|
| H Dimension Tolerance | ±100 | ±40 | |
| Pair variation of H | 20 | 15 | |
| Tolerance of dims. W2 | ±100 | ±20 | |
| Pair variation of W2 | H24・28 | 20 | 15 |
| H33 | 30 | ||
■Running Parallelism
(μm）
| Rail Length(mm) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| 81-250 | 251-400 | 401-500 | 501-630 | 631-800 | 801-1000 | 1001-1250 | 1251-1600 | 1600-2000 | |
| High Grade | 7 | 8 | 9 | 11 | 13 | 14.5 | 16 | － | － |
| Standard Grade | 7 | 12 | 14 | 18 | 21 | 23 | 25 | 27 | 28.5 |
*The slight clearance type has clearances (play) between the rail and blocks.
Performance info.
■Rated Load of Linear Guides for Heavy Load (Normal Clearance Type)
| Overall Height | Basic Load Rating | Allowable Static Moment | ||
|---|---|---|---|---|
| C (Dynamic) kN | C 0 (Static) kN | MA・MB N・m | Mc N・m | |
| 24 | 8.6 | 14.2 | 69.0 | 98.0 |
| 28 | 12.5 | 21.3 | 155.0 | 232.0 |
| 33 | 20.2 | 34.5 | 275.0 | 393.0 |
Technical Calculations
Operating Life Calculation for Linear Guides.
- Operating Life.
- When the linear system is in motion with applied load, the rolling surfaces and races are subject to repeated stress. This stress can cause scale-like flaking due to material fatigue. The total run distance until the flaking appears in the "Life" of the linear system.
- Rated Life.
- Rated life is the total travel distance that 90% of linear guides of the same type can reach, under the same conditions, with no occurrence of flaking damage. Rated life can be calculated with the basic dynamic load rating and the actual load applied on the linear guides, as shown below.
-
- Load must be calculated before actually using linear guides. To obtain loads during linear reciprocating motion, it is necessary to fully consider vibrations and impacts during motion as well as distribution condition of the load applied to linear guides. So, it is not easy to calculate the loads. Operating temperature also critically affects the life. Considering these conditions, the above-mentioned calculation formula will be as follows.
-
- L: Rated Life (Km)
- fH: Hardness Factor (See Fig.1)
- fT: Temperature Factor (See Fig.2)
- fC: Contact Factor (See Table-1)
- fW: Load Factor (See Table-2)
- C: Basic Dynamic Load Rating (N)
- P: Applied Load (N)
- Hardness factor (fH)
-
For linear applications, the shafts and ball bearings must have sufficient hardness. If they do not, the load rating decreases and the life will be reduced.
Please correct the rated life with the hardness factor.
- Temperature factor (fT)
-
When the temperature of the linear system exceeds 100 degrees C, the hardness will decrease and as a result, the allowable load and life will reduced.
Please correct the rated life with the temperature factor.
* Please use linear guides within temperature shown on product pages.
- Contact factor (fC)
-
Table-1. Contact Factor
Number of blocks per rail Contact factor fC
1 1.00 2 0.81 3 0.72 4 0.66 5 0.61 In general, it is common to use two or more blocks on one rack. In these cases, the load on each block will vary depending on the machining precision and will not have equally distributed loads. As a result, the allowable load per block will vary depending on the number of blocks used on rail. Please correct the rated life with the contact factors on Table-1.
- Load Factor (fW)
-
Table-2. Load Factor
Condition of Use fw No shocks / vibrations,
low speed: 15 m/min. or less1.0-1.5 No significant shocks / vibrations,
medium speed: 60 m/min. or less1.5-20 With shocks / vibrations,
high speed: 60 m/min. or more2.0-3.5 To calculate the load applied to the linear guides, in addition to the object weight, the inertia force attributed to the motion velocity, moment loads and the variations of each over time must be obtained. However, for reciprocating motion applications, it is difficult to obtain accurate calculations due to effects of the vibrations and shocks. Therefor, use Table 2 to simplify the life calculations.
- Applied Load P Calculation Method
- When moment load is applied to each block, convert the moment load into applied load using the following formula.
-
- P: Applied Load (N)
- F: Downward Load (N)
- C0: Static Load Rating (N)
- MA: Allowable Static Moment - Pitching Direction (N·m)
- MC: Allowable Static Moment - Rolling Direction (N·m)
- Lp: Load Point Distance (m) in Pitching Direction
- Lr: Load Point Distance (m) in Rolling Direction
Stopper Bolts
| Product name | Stopper Bolts- Hexagon Socket, Fine Thread |
|---|---|
| Part number | STRC8-35 |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Prevent the linear guide from overrunning.
Available sizes
■Stopper Bolts- Hexagon Socket, Fine Thread
| Material | Hardness | Surface Treatment |
|---|---|---|
| 4137 Alloy Steel | 40-45HRC | Black Oxide |
| Electroless Nickel Plating | ||
| 410 Stainless Steel | − |
■Sizes and Dimensions
| Screw Dia. (Coarse) | Screw Dia. (Fine) | Length in 5 mm increments |
|---|---|---|
| M3x0.5 | ― | 10－30 |
| M4x0.7 | M4x0.5 | 15－60 |
| M5x0.8 | M5x0.5 | 15－60 |
| M6x0.75 | M6x0.75 | 20－60 |
| M8x1.25 | M8x0.75 | 25－60 |
| M10x1.5 | M10x1.0 | 30－70 |
| M12x1.75 | M12x1.0 | 35－80 |
IDEA NOTE Anti-backlash Design
Elongated holes are made on one side and tapped holes are made on the other side in order to change the rotation speed slightly to reduce backlash.
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Application Overview
Purpose
- The mechanism centers the workpieces using parallel hands operated by a rack and pinion set.
Both sets of hands have a drive source and are operated independently. (Each workpiece placed/removed from the table by a robot)
Target workpiece
- Shape: Nylon gear
Size：φ141mm
Weight: 1kg
Design Specifications
Operating Conditions or Design Requirements
- Movable range of the hands: 60mm
- External dimensions:w428×D575×H179mm
Required Performance
- Weight of workpiece: 10N
Weight of hands: 80N
Selection Criteria for Main Components
- The maximum friction coefficient of the centering table is 0.2. Select a cylinder whose output is 100N or more to move the hands and the workpiece on the table.
Design Evaluation
Verification of main components
- Compare and validate the load output and cylinder output
- Calculation of the load output:
Workpiece 10N×0.2 (friction coefficient)=2N
Hands 80N×0.1 (friction coefficient)=8N, Total: 10N
Cylinder out (=100N or more) > 10N=load output
- Calculation of the load output:
Other Design Consideration
- Design the two-tier pinion mechanism so it can be supported by one shaft.
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