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No.000031 High accuracy XY table unit
307
307
XY table with overrun protection
Related Category
Rolled Ball Screw
| Product name | Rolled Ball Screws/Compact Nut/Shaft Dia. 15/Lead 5/10 |
|---|---|
| Part number | BSS1505-500 |
| Features | Smallest Nut Outer Diameter |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Suitable for med. accuracy linear motion drive.
Available sizes
■Precision Ball Screws
| Screw shaft | Nut | |||||
|---|---|---|---|---|---|---|
| Material | Hardness | Screw DIA.(mm) | Lead(mm) | Overall length(mm) | Material | Hardness |
| EN 1.7242 Equiv. | Carburized 58 ~ 62HRC | Ø8 | 2 | 100-210 | EN 1.7264 Equiv. | Carburized 58 ~ 62HRC |
| Ø10 | 2 | 100-315 | ||||
| 4150 Alloy Steel | Induction hardened 58 ~ 62HRC | 4 | 150-380 | |||
| 10 | 150-450 | |||||
| EN 1.7242 Equiv. | Carburized 58 ~ 62HRC | Ø12 | 2 | 150-445 | ||
| 4150 Alloy Steel | Induction hardened 58 ~ 62HRC | 4 | 150-400 | |||
| 5 | 150-450 | |||||
| 10 | 200-600 | |||||
| Ø15 | 5 | 150-1095 | ||||
| 10 | 200-1095 | |||||
| 20 | 230-1095 | |||||
| Ø20 | 5 | 200-1000 | ||||
| 10 | 250-1500 | |||||
| 20 | ||||||
| Ø25 | 5 | 300-995 | ||||
| 10 | 300-1500 | |||||
| 20 | ||||||
■Features of Compact nut
Compact nut O.D.
Suitable for limited space applications
Selection steps
■Ball screw selection steps
- Determine application conditions
- (Moving mass, feed rate, motion pattern, screw rotary speed, mounting orientation (horizontal or vertical), life, positioning accuracy)
↓
- Temporarily select ball screw specifications
- (Based on app. conditions, ball screw accuracy grade (C3~C10), screw shaft DIA., lead, screw shaft length are temporarily selected.)
↓
- Basic Safety Check
-
- ● Allowable axial load
- ● Allowable max. speed
- ● Life
↓
- Evaluate in accordance with the required performance
-
- ● Screw shaft rigidity
- ● Change in life due to temperature
Accuracy Info
■Ball screw accuracy
| Accuracy grade: C10 | (mm) |
| Screw shaft DIA. | Lead | Axial clearance | Twist direction | Nut pilot tolerance | (1) (2) | (3) | (4) (5) | (6) | (7) |
|---|---|---|---|---|---|---|---|---|---|
| Runout tolerance (Max.) | Runout tolerance (Max.) | Perpendicularity tolerance (Max.) | Perpendicularity tolerance (Max.) | Runout tolerance (Max.) | |||||
| Ø8 | 2 | 0.005 or less | Right | -0.007/-0.020 | 0.011 | 0.011 | 0.005 | 0.010 | 0.012 |
| Ø10 | 2 ･ 4 ･ 10 | ||||||||
| Ø12 | 2 ･ 4 ･ 5 ･ 10 | ||||||||
| Ø15 | 5 ･ 10 ･ 20 | -0.009/-0.025 | 0.012 | 0.012 | 0.011 | 0.015 | |||
| Ø20 | 5 ･ 10 ･ 20 | ||||||||
| Ø25 | 5 ･ 10 | 0.013 | 0.013 | 0.013 | 0.019 | ||||
| 20 | -0.010/-0.029 |
(mm)
| Screw shaft DIA. | (8) Runout tolerance (Max.) / Screw shaft length | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| -125 | 126-200 | 201-315 | 316-400 | 401-500 | 501-630 | 631-800 | 801-1000 | 1001-1250 | 1251- | |
| Ø8 | 0.035 | 0.050 | 0.065 | - | - | - | - | - | - | - |
| Ø10 | 0.040 | 0.055 | 0.065 | 0.080 | 0.090 | |||||
| Ø12 | ||||||||||
| Ø15 | - | 0.045 | 0.055 | 0.060 | 0.075 | 0.090 | 0.120 | 0.150 | 0.190 | |
| Ø20 | ||||||||||
| Ø25 | - | 0.040 | 0.045 | 0.050 | 0.060 | 0.070 | 0.085 | 0.100 | 0.130 | |
Performance info.
■Ball screw load ratings
| Screw shaft DIA. | Lead | Basic load ratings | |
|---|---|---|---|
| C (Dynamic) kN | Co (Static) kN | ||
| Ø8 | 2 | 1.95 | 2.6 |
| Ø10 | 2 | 2.25 | 3.3 |
| 4 | 3.35 | 5.9 | |
| 10 | 2.2 | 3.5 | |
| Ø12 | 2 | 2.45 | 4.1 |
| 4 | 3.6 | 6.75 | |
| 5 | 5.95 | 9.8 | |
| 10 | 3.85 | 5.9 | |
| Ø15 | 5 | 6.9 | 12.5 |
| 10 ･ 20 | 4.4 | 7.9 | |
| Ø20 | 5 | 8.35 | 17.5 |
| 10 | 13.5 | 25.1 | |
| 20 | 9.2 | 16.2 | |
| Ø25 | 5 | 9.4 | 22.2 |
| 10 | 16.1 | 33.4 | |
| 20 | 10.4 | 20.1 | |
Technical calculations
■Ball screw life calculations
Ball screw life time is calculated by the following formula.
- C: Basic dynamic load rating (N)
- Pm: Average axial load (N)
- Nm: Average rotational speed (min-1)
- fw: Operation factor
- Steady operation without impact fw = 1.0 ~ 1.2
- Normal operation fw = 1.2 ~ 1.5
- Operation with impacts fw = 1.5 ~ 2.0
- Definition of basic dynamic load rating -
Basic dynamic load rating is an axial load applied on ball screws where a group of the same ball screws
are operated and 90% of the specimen will reach 1,000,000 (10^6) rotations without showing any flaking.
- About average axial load and average rotational speed. -
This needs to be calculated based on the motion pattern.
While it is difficult to accurately obtain load condition, etc, we do know that the ball screws operating life is inversely proportional to the third power of the load.
- Motion pattern example - (T1 + T2 + T3 = 100%)
| Motion pattern | Axial load | Rotational speed | Time proportion |
|---|---|---|---|
| A | P1N | N1min＾-1 | t1% |
| B | P2N | N2min＾-1 | t2% |
| C | P3N | N3min＾-1 | t3% |
Ball Screw Stopper
| Product name | Stopper for Ball Screws |
|---|---|
| Part number | BSTS12 |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Urethane stopper for overrun protection
Available sizes
■Stopper for Ball Screws
(mm)
| Material | Hardness | Applicable ball screw DIA. | Stopper plate thickness | Ball screw shaft center height |
|---|---|---|---|---|
| Ether based polyurethane | Shore A90 | Ø8 | 15 | 17 |
| Ø10 | 18 | 22, 25 | ||
| Ø12 | 18 | 23, 25 | ||
| Ø15 | 20 | 26, 28, 30 | ||
| Ø20 | 20 | 30 | ||
| Ø25 | 20 | 35 |
Linear Guide
| Product name | Linear Guides for Medium Load |
|---|---|
| Part number | SV2R-MX24-520-WC |
| Features | Compliant with the industry standard specifications. |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Standard block, Medium load, normal clearance linear guide
Available sizes
■Linear Guides for Medium Load
| Material | Hardness | Overall height(mm) | Rail length(mm) |
|---|---|---|---|
| Carbon steel | 58HRC ~ | 24 | 160-1480 |
| 28 | 220-1960 | ||
| 33 | 220-1960 |
Selection steps
■Linear guide selection steps
- Determine application conditions
- (Mass of moving body, Feed rate, Motion pattern, Life)
↓
- Selection of linear guide specifications
- (Temporarily select linear guide load type, overall height,
rail length based on the application condition)
↓
- Safety Check
-
- ●Load capacity
- ●Life
- ●Preload
Accuracy Info
■Preload and accuracy reference Standards
(μm)
| Dimension tolerance of H | ±100 | |
|---|---|---|
| Pair variation of H | 20 | |
| Dimension tolerance of W2 | ±100 | |
| Pair variation of W2 | H24 ･ 28 | 20 |
| H33 | 30 | |
(μm)
| Rail length | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| -250 | 251-400 | 401-500 | 501-630 | 631-800 | 801-1000 | 1001-1250 | 1251-1600 | 1601-2000 | |
| Running Parallelism | 7 | 12 | 14 | 18 | 21 | 23 | 25 | 27 | 28.5 |
Performance info.
■Linear guide load ratings (For med. loads, Normal clearance, Standard grade)
| Overall height | Basic load rating | Allowable static moment | ||
|---|---|---|---|---|
| C (Dynamic) kN | C 0 (Static) kN | MA ･ MB N･m | Mc N･m | |
| 24 | 5.0 | 8.23 | 33 | 57 |
| 28 | 7.2 | 12.1 | 58 | 135 |
| 33 | 11.7 | 19.6 | 109 | 225 |
Technical calculations
■Linear guide life calculations
- ●Operating Life
- When a linear guide is loaded in linear reciprocating motion, scaly damage called flaking can appear. This is due to material fatigue because the stress works on the rolling elements and contact surfaces constantly. Total travel distance until the first flaking occurs is the life of the linear guide.
- ●Rated life
- Rated life is the total travel distance that 90% of same linear guides, under the same conditions, can reach with no occurrence of flaking damage. Rated life can be obtained from the Basic Dynamic Load Rating and the actual load applied on the linear blocks, as shown below.
-
- Load must be calculated before actually using a linear guide. To obtain load during linear reciprocating motion, it is necessary to consider vibration, impact during motion and the distribution status of the linear guides. The operating environment temperature also effects the life of these parts. when taking these conditions into considiration, the calculation will be:
-
- 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: Applicable load (N)
- ●Hardness Factor (fH)
-
For Linear Guide applications, sufficient hardness is required for ball contact shafts. Inappropriate hardness causes less allowable load, resulting in shorter life. Please correct the rated life according to the hardness factors.
- ●Temperature Factor (fT)
-
If the linear guide temperature exceeds 100°C, the linear guide and rail hardness decreases. This results in a lower allowable load and a shorter life when compared to an application at room temperature. Please correct the rated life according to the temperature factor.
*Please use linear guide under the allowable temperature shown on each product page.
- ●Contact Factor (fC)
-
Table-1. Contact factor
Number of Linear Guide Blocks on One Rail Contact Fator fC 1 1.00 2 0.81 3 0.72 4 0.66 5 0.61 For actual applications, more than 2 blocks are generally used per rail. In this case, load applied to each block varies depending on machining precision but is not uniformly distributed. As a result, the per-block allowable load varies depending on the number of blocks per rail. Please correct the rated life according to Table 1 : Contact Factor
- ●Load factor (fW)
-
Table-2. Load factor
Condition of Use 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 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 the vibrations and shocks. Therefor, use Table-2 in order to simplify the Life Calculations.
- ●Applicable load calculation method
- When load is applied to a block, convert moment load into applied load using the following formula:
-
- P: Applicable 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
-
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Application Overview
Purpose
- Dual axis positioning unit for printed circuit board assembly.
Points for use
- XY table unit operates with medium load and medium speed.
- Unit is used in class 100 clean room.
- The PC boards are manually loaded/unloaded.
Target workpiece
- PCB Tray
Size: W160 x D100 x H10mm
Weight: 430g
Design Specifications
Operating Conditions or Design Requirements
- X axis unit
Lower base size: W300 x L640mm
Stroke: 340mm - Y axis unit
Base size:W185 x L560mm
Stroke: 295mm - External dims. W300 x D690 x H128
Required Performance
- X axis unit
Positioning accuracy: ±0.05 / 500mm
Load: Product + Pallet + Y axis unit = 10kg - Y axis unit
Positioning accuracy: ±0.05 / 500mm
Moving section weight (Product + Pallet) = 2kg
Selection Criteria for Main Components
- Select ball screw type based on required positioning accuracy ±0.05 /500mm.
Design Evaluation
Verification of main components
- Select a motor based on applied load torque.
- Motor selection
- Load torque calculations for X axis.
- Operating conditions:
F = 0 N - External force
W = 10 kg - X axis unit weight
μ = 0.1 - Coefficient of friction (sliding surface)
g = 9.8 m/s² - Gravitational acceleration
P = 5 x 10-³ m - Ball screw lead - T = 1/(2π) x P(F + μWg)N･m
= 1/(2π) x 5 x 10⁻³(0 + 0.1 x 10 x 9.8)
= 7.7 x 10⁻³N･m - Select motor where motor rated torque > applied torque*safety factor.
- For Y axis calculated load torque is 0.19Nm .
Other Design Consideration
- PC Board fixture pallet should allow for accurate positioning of board during travel and loading/unloading.
- Ball screw stoppers are installed to prevent damage if overrun occurs.
- Since there are cables near the moving part, cable carriers should be utilized for protection.
- Provide safety measures (ball screw covers, etc.) on the moving components and install positioning sensors, etc. if needed.
- To avoid life span reduction of ball screw and linear guides, consult the accuracy guidance information for this parts.
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