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No.000028 Vertical Feed Mechanism
159
159
Vertical feed with a linear motion gearhead and motor
Relevant category
Flanged Linear Bushing
| Product name | Flanged Linear Bushings |
|---|---|
| Part number | LHFRD16 |
| Features | Full Length is 1.5 times greater than the Single Length and has an Allowable Moment that is 4.3 times greater. Suitable when there is insufficient space for the Double Type |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Flanged type is suitable as a linear guide for this app. example.
Available sizes
■Flanged Linear Bushings
| Flange Shape | Outer cylinder | Ball | Retainer | Accessory Seal | Operating ambient temperature | ||
|---|---|---|---|---|---|---|---|
| Material | Hardness | Surface treatment | Material | Material | Material | ||
| Round flange ・Square flange ・Compact flange | 52100 Bearing Steel | 58HRC- | - | 52100 Bearing Steel | Resin (Duracon 90 equivalent) | Nitrile rubber | -20～80℃ |
| Electroless nickel plating | 440C Stainless Steel | ||||||
■Sizes and Dimensions
| (Shaft DIA.) | Outer cylinder diameter | Overall length | Flange | |
|---|---|---|---|---|
| Max. width | Thickness | |||
| φ6 | φ12 | 29 | 28 | 5 |
| φ8 | φ15 | 37 | 32 | |
| φ10 | φ19 | 47 | 40 | 6 |
| φ12 | φ21 | 42 | ||
| φ13 | φ23 | 43 | ||
| φ16 | φ28 | 56 | 48 | |
| φ20 | φ32 | 65 | 54 | 8 |
| φ25 | φ40 | 83 | 62 | |
| φ30 | φ45 | 90 | 74 | 10 |
Selection steps
■Linear bushing selection steps
Accuracy Info
■Accuracy info. of flanged linear bushing
| (Shaft DIA.) | Outer cylinder DIA. | Tolerance | Overall length tolerance | ||
|---|---|---|---|---|---|
| tolerance | No surface treatment | Surface treated | |||
| φ6 | 0/-0.010 | φ12 | 0/-0.013 | 0/-0.018 | ±0.3 |
| φ8 | φ15 | ||||
| φ10 | φ19 | 0/-0.016 | 0/-0.021 | ||
| φ12 | φ21 | ||||
| φ13 | φ23 | ||||
| φ16 | φ28 | ||||
| φ20 | 0/-0.012 | φ32 | 0/-0.019 | 0/-0.025 | |
| φ25 | φ40 | ||||
| φ30 | φ45 | ||||
Performance info.
■Load rating of flanged linear bushing
| (Shaft DIA.) | Basic load rating | Allowable static moment | |
|---|---|---|---|
| C (Dynamic) N | C0 (Static) N | (N・m) | |
| φ6 | 226 | 310 | 1.42 |
| φ8 | 310 | 452 | 2.12 |
| φ10 | 508 | 718 | 4.37 |
| φ12 | 634 | 814 | 6.2 |
| φ13 | 640 | 826 | 6.2 |
| φ16 | 1164 | 1448 | 13.1 |
| φ20 | 1554 | 2068 | 18.3 |
| φ25 | 1725 | 3068 | 25.3 |
| φ30 | 2440 | 3974 | 42.7 |
Technical calculations
■Life of Linear Bushing
When the linear systems are in motion with loads, rolling surfaces and races are subject to repeated stress and will show scale-flaking due to material fatigue. The total run distance until the flaking appear is the "Life" .
The rated life can be calculated with the following formula based on basic dynamic load rating and the load applied on the bushing.
- L: Rated life (km)
- fH: Hardness factor (See Fig.1)
- fT: Temperature factor (See Fig. 2)
- fC: Contact factor (See Table-3)
- fW: Load factor (See table-4)
- C: Basic dynamic load rating (N)
- P: Applicable load (N)
Hardness factor (fH)
For linear systems, the shaft that the balls contact must have sufficient hardness,If the shaft does not have sufficient hardness, the load rating decreases and life will be reduced as a result.
Fig.-1. Hardness factor
Temperature factor (fT)
When the temperature of linear systems exceed 100℃, hardness will be reduced and as a result, the allowable loads and life will be reduced.
Fig.-2. Temperature factor
Contact factor (fC)
In general, it is common to use 2 linear systems are used for 1 shaft, in general. In these cases, the load on each linear system will vary depending on machining accuracies and will not have equally distributed loads. As a result, the allowable load per linear system will very depending on the number of linear systems used on one shaft.
Table-3. Contact factor
| Number of bearings installed on one shaft. | Contact factor fC | |
|---|---|---|
| 1 | 1 | |
| 2 | 0.81 | |
| 3 | 0.72 | |
| 4 | 0.66 | |
| 5 | 0.61 | |
Load factor (fW)
To calculate load applied to the linear system, in addition to object weight, inertia force attributed to motion velocity, moment loads and variations of each over time must be obtained. However, for reciprocating motion applications, it is difficult to obtain accurate calculations due to the effects of vibrations and shocks. Therefor, use Table-2 below in order to simplify the Life Calculations.
| Application conditions | fw |
|---|---|
| No external shocks or vibrations and speed is low 15m/min or less | 1.0～1.5 |
| No significant shocks or vibration and med. speed 60m/min or less | 1.5～2.0 |
| External shocks and vibrations exist and the speed is high 60m/min or over | 2.0～3.5 |
Life in hours can be obtained by calculating travel distance per hour. When stroke length and stroke cycles are fixed, see the equation below.
- Lh: Life (Hr)
- L: Rated life (km)
- Ls: Stroke length (m)
- n1: Number of cycles per minute (cpm)
Shaft
| Product name | Precision Linear Shafts - Straight Type |
|---|---|
| Part number | PSFJ16-305 |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
An inexpensive option for a guide component
Available sizes
■Precision Linear Shafts - Straight Type
| Material | Hardness | Surface treatment | O.D. tolerance | ||
|---|---|---|---|---|---|
| g6 | h5 | f8 | |||
| 52100 Bearing Steel | Induction hardened 58HRC〜 | − | ○ | ○ | − |
| 440C Stainless Steel | Induction hardened 56HRC〜 | ○ | ○ | − | |
| 52100 Bearing Steel | Induction hardened 58HRC〜 | Hard chrome plating Plating hardness HV750~ Plating thickness 5μ or more | ○ | ○ | − |
| 440C Stainless Steel | Induction hardened 56HRC〜 | ○ | ○ | − | |
| 52100 Bearing Steel | Induction hardened 58HRC〜 | Low temperature black chrome plating | ○ | − | − |
| 1045 Carbon Steel | − | Hard chrome plating | − | − | ○ |
| Plating hardness HV750~ | |||||
| 304 Stainless Steel | Plating thickness 10μ or more | − | − | ○ | |
■Sizes
| O.D. tolerance | O.D. | Length |
|---|---|---|
| (Configure in 1mm increments) | ||
| g6・h5 | φ3 | 10〜 400 |
| φ4 | ||
| φ5 | ||
| φ6 | 20〜 600 | |
| φ8 | 20〜 800 | |
| φ10 | ||
| φ12 | 20〜1000 | |
| φ13 | 25〜1000 | |
| φ15 | ||
| φ16 | 30〜1200 | |
| φ18 | ||
| φ20 | ||
| φ25 | 35〜1200 | |
| φ30 | 35〜1500 | |
| φ35 | ||
| φ40 | 50〜1500 | |
| φ50 | 65〜1500 | |
| f8 | φ6 | 20〜 600 |
| φ8 | 20〜 800 | |
| φ10 | ||
| φ12 | 20〜1000 | |
| φ13 | 25〜1000 | |
| φ15 | ||
| φ16 | 30〜1200 | |
| φ18 | ||
| φ20 | ||
| φ25 | 35〜1200 | |
| φ30 | 35〜1500 | |
| φ35 | ||
| φ40 | 50〜1500 | |
| φ50 | 65〜1500 |
Accuracy Info
■O.D. tolerance table
| O.D. | O.D. tolerance | ||
|---|---|---|---|
| g6 | h5 | f8 | |
| φ3 | -0.002 -0.008 | 0 -0.004 | - |
| φ4 | -0.004 -0.012 | 0 -0.005 | |
| φ5 | |||
| φ6 | -0.010 -0.028 | ||
| φ8 | -0.005 -0.014 | 0 -0.006 | -0.013 -0.035 |
| φ10 | |||
| φ12 | -0.006 -0.017 | 0 -0.008 | -0.016 -0.043 |
| φ13 | |||
| φ15 | |||
| φ16 | |||
| φ18 | |||
| φ20 | -0.007 -0.020 | 0 -0.009 | -0.020 -0.053 |
| φ25 | |||
| φ30 | |||
| φ35 | -0.009 -0.025 | 0 -0.011 | -0.025 -0.064 |
| φ40 | |||
| φ50 | |||
IDEA NOTE Up/down pitch feed with a linear motion gearhead and motor
Up/down pitch feed mechanism with a linear motion gearhead and motor take out equally spaced apart workpieces loaded on a tray.
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Application Overview
Purpose
- Workpieces on platform can be raised to adjustable height.
- Self-locking type motor prevents falling.
Target workpiece
- Workpiece
- External dims.: W147 x D167 x H12
- Weight: 0.3kg
- Tray
- External dims.: W180 x D200 x H179
- Weight: 0.6kg
- Max. weight
(5 workpieces + 5 Trays)
(0.3 x 5) + (0.6 x 5) = 4.5kg
Design Specifications
Operating Conditions or Design Requirements
- Slide stroke: 116mm (Pitch 29mm x 4)
- External dims.: W480 x D350 x H537
Required Performance
- Total transferred mass: 16 kg or less
Selection Criteria for Main Components
- Motor
- Load retaining type is selected to prevent falling due to own weight.
- Linear motion gearhead
- Vertical motion type is selected to move the workpieces up/down.
- Sensor
- 2 output type sensor is selected for pitch feeding.
Design Evaluation
Verification of main components
- Verify the motor regarding required speed and load capacity.
- Rack speed
- Motor speed (Ns): 90~1600 r/min
- Reduction ratio of linear motion gearhead (i): 35.36
- Pitch circle DIA. of the pinion (Dp): 12mm
- Rack speed (V)
V = Ns × (1 / 60) × (1 / i) × π × Dp - Vmin = 90 × (1 / 60) × (1 / 35.36) × π × 12 = 1.6 mm/s
- Vmax = 1600 × (1 / 60) × (1 / 35.36) × π × 12 = 28.43 mm/s
- Assumed rack speed: 15mm/s, OK.
- Max. payload
- Motor torque Tm: 45N・m
- Reduction ratio of linear motion gearhead (i): 35.36
- Pitch circle DIA. of the pinion (Dp): 12mm
- Transmission efficiency by reduction ratio (η1) : 0.66
- Transmission efficiency of rack and pinion (η2): 0.9
- The maximum allowable load capacity (W):
W = Tm × I × η1 / (Dp / 2) × η2 / 9.8 = 45 × 35.36 × 0.66 / (12 / 2) × 0.9 / 9.8 = 16 kg
Total elevating mass: Workpiece + Tray + Base + Rack + Others = 4.5 + 1.3 + 1 + 2 ＝ 8.8 kg ＜ 16 kg
Other Design Consideration
- Pitch feeding is possible when using a photomicro sensor to detect the pitch.
- The lower most tray and the upper most tray are detected by a photoelectric switch.
- For detecting the lower most limit, another sensor and pitch detection plate are placed (Limit switch).
- For detecting the upper most limit, another sensor and a sensor flag are placed (Limit switch)
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