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No.000156 Dual Centering Mechanism
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74
Two parallel hands using two-tier rack and pinion.
Related Category
Linear Guides
| 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
| 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 the app. Conditions
- (Moving body speed, feed rate, motion pattern, Life)
↓
- Temporary selection of linear guide specifications
- (Temporarily select block type, height,
rail length based on the application condition)
↓
- Confirming basic safety
-
- ●Load capacity
- ●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 | |
|---|---|---|---|
| Dimension tolerance of H | ±100 | ±40 | |
| Pair variation of H | 20 | 15 | |
| Dimension tolerance of 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 | Co (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
■Linear guide life calculations
- ●Life
- When linear guides operate in linear motion while supporting loads, repeated stresses apply on the rolling elements (balls) and raceways (rails), eventually causing scale-like flaking due to material fatigue. The total run distance until this flaking appears is defined as linear guide's "Life".
- ●Rated Life.
- Rated life is a total distance 90% of linear guides reach without flaking when a group of the same guides are run under the same condition. The rated life can be calculated with basic dynamic load rating and the load applied on the guides as follows.
-
- When using linear guides, load calculations are initially needed. It is not easy to calculate the loads during linear motion due to vibrations and shocks, as well as load distribution on the guides. Furthermore, operating environment temperature has large effect on life. When these conditions are taken in consideration, the calculations would 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)
-
In using linear guides, the shaft that balls contact must have sufficient hardness, If adequate hardness cannot be obtained, load rating decreases and life will be reduced as a result.
- ●Temperature factor (fT)
-
When the temperature of linear guides exceed 100°C, hardness of blocks and rails will be reduced, causing reduction of life. Please compensate the life rating with temperature factor.
* Please use linear guides within temperature shown on product pages.
- ●Contact factor (fC)
-
Table-1. Contact Factor
Number of blocks installed on one rail and 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 2 or more blocks on 1 rail. In such case, load applicable on each block would not be uniform due to machining variations. As the result, allowable load rating on each block would vary depending on the number of blocks used per rail. Please compensate the life rating with contact factor shown on Table-1.
- ●Load Factor (fW)
-
Table-2. Load Factor
Application condition fw No external shocks or vibrations and
speed is low 15m/min or less1.0-1.5 No significant shocks or vibration and
med. speed 60m/min or less1.5-20 External shocks and vibrations exist
and the speed is high 60m/min or over2.0-3.5 When calculating loads applicable on linear guides, other than the weight of the object, inertial force due to motion speeds, moment loads, and variations of each over time must also be obtained accurately. However, accurate calculation would be difficult due to repeated starts and stops and various shocks and vibrations. Therefore, the Load Factors shown in Table-2 are used to simplify the life calculations.
- ●Applicable load calculation method
- When moment loads apply a block, use the following formula to convert the moment load to applicable load.
-
- P: Applied Load (N)
- F: Downward Load (N)
- Co: 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
| Material | Hardness | Surface Treatment |
|---|---|---|
| EN 1.7220 Equiv. | 40-45HRC | Black Oxide |
| Electroless Nickel Plating | ||
| EN 1.4006 Equiv. | - |
■Sizes and Dimensions
| Thread Dia. (Coarse) | Thread Dia. (Fine) | Length in 5 mm increments |
|---|---|---|
| M3 x 0.5 | - | 10-30 |
| M4 x 0.7 | M4 x 0.5 | 15-60 |
| M5 x 0.8 | M5 x 0.5 | 15-60 |
| M6 x 0.75 | M6 x 0.75 | 20-60 |
| M8 x 1.25 | M8 x 0.75 | 25-60 |
| M10 x 1.5 | M10 x 1.0 | 30-70 |
| M12 x 1.75 | M12 x 1.0 | 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: Ø141mm
Weight: 1kg
Design Specifications
Operating Conditions or Design Requirements
- Movable range of the hands: 60mm
- External dimensions:w428 x D575 x 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 x 0.2 (friction coefficient) = 2N
Hands 80N x 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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