technical data linear actuator Linipower Jack Selection

Requirements

Machinery used: Table lifter, stage lifting device, conveyor line switching device, etc.

Layout... Interlocking pattern (4 units, 6 units, etc.), drive, coupling, etc.

Maximum load (W)..... Mass of load or workpiece N{kgf}

Screw shaft speed (V)..... Required speed of the jack m/min

Stroke: Actual stroke used mm

Screw type: Ball screw type (JWB), High lead ball screw type (JWH), Trapezoidal Screw type (JWM)

Mounting type: Basic type (for lifting or hanging, with or without anti-rotation device), traveling nut type (for lifting or hanging)

Installation condition..... Base fixed, shaft end clevis, etc. - Buckling consideration when compressive load is applied

Expected life..... Jack service life (JWB, JWH only)

Selection Procedure

1. Calculation of the correction load Ws

Considering the nature of the load, calculate the corrected load Ws by referring to Service factor (Table 1).

Corrected load Ws (N{kgf}) = Maximum load W (N{kgf}) × Service factor Sf

Table 1. Service factor Sf

Load Nature Usage example Service factor
Smooth operation without shock
Load inertia small
Valve opening and closing
Conveyor switching device
1.0~1.3
Operation with slight impact
Load inertia medium
Various moving devices
Various lifter lifting
1.3~1.5
Operation with large shocks and vibrations
Large load inertia
Transporting objects by cart, positioning and maintaining rolling rollers 1.5~3.0

Note: The above Service factor are general guidelines and should be determined taking into consideration the conditions of use.

2. Calculating the load W per jack

The load W per jack is calculated from the corrected load Ws. In the case of linked operation, refer to Multiple factor (Table 2) for calculation.

Load per jack W (N{kgf}) = Corrected load Ws (N{kgf}) Number of jacks used × Multiple factor fd

Table 2. Multiple factor fd

Number of linked units (units) 2 3 4 5~8
Multiple factor 0.95 0.9 0.85 0.8

3. Tentatively select the model number of Linipower Jack

Refer to the "Points to consider when tentatively selecting" to tentatively select the model number of the jack.

Points to consider when tentatively selecting a product

  • 1. The worm speed ratio is tentatively selected based on the screw shaft speed. If it is difficult to determine, consider speed ratio H.
  • 2. Select the stroke with a margin of safety in mind.
  • 3. Select options as needed.

4. Checking buckling and screw shaft rotation speed

  • 1. Consideration of allowable buckling load
    If a compressive load is applied, make sure that it is below the allowable buckling load. (Here reference)
    If the allowable value is exceeded, increase the size of the jack and recalculate.
  • 2. Allowable screw shaft rotation speed
    In the case of a traveling nut specification, check that the screw shaft rotation speed is below the allowable speed. (Here reference)
    If the allowable value is exceeded, increase the size of the jack and recalculate.

5. Check the required input rotation speed

The required input rotation speed of the jack is calculated from the required screw shaft speed.

N = V ×R

N: Input rotation speed r/min

V: Screw shaft speed m/min

ℓ: Screw lead m

R: Worm speed ratio

6. Check the required input torque

Calculate the required input torque.

T = W×ℓ π×R×η + To

T: Required input torque N・m{kgf・m}

W: Lifting load N{kgf}

ℓ: Screw lead m

π: Pi 3.14

R: Worm speed ratio

η: Overall jack efficiency

To: No-load idling torque N・m{kgf・m}

  • Note)
    Please refer to Major Specifications page for each product for screw lead, worm speed ratio, overall efficiency, and no-load idling torque.
    Please pay attention to the units of screw lead. Example) 8mm → 0.008m

7. Check the required input capacity

SI units P = T×N 9550

Gravity unit P = T×N 974

T: Required input torque N・m{kgf・m}

P: Required input capacity kW

N: Input rotation speed r/min

8. Consideration of allowable overhang load

When installing a sprocket, gear, belt, etc. on the input shaft, check that it is below the allowable overhang load (see here).

If it exceeds the allowable value, increase the size of the jack and recalculate.

9. Checking the lifespan (JWB and JWH types only)

Check whether the expected life span is met (see here).

If you want to increase the expected travel distance, increase the jack size and recalculate.

*Lifespan calculations cannot be performed for JWM (Trapezoidal Screw) types.

10. Deciding on options

Select the option according to your usage conditions.

  • ・Output options ・Mounting options
  • ・Control options ・Input options
  • ・Included options

(See Drawing Library for each product)

11. Deciding the jack body model number

The official model number of Linipower Jack body will be determined.

Selection of peripheral devices

Motor Selection

Calculate the required capacity Pt of the drive source for interlocking and select the drive source

1. Calculating the total required torque Tt of the drive source

Calculate the required torque T1 to T4 on the drive source side for each jack, and add them together to calculate the total required torque Tt for the drive source.

[Required torque per jack]

T 1 to 4 = T (gearbox efficiency) Number of gearboxes

[Total required torque of drive source]

Tt = T1 + T2 + T3 + T4

T 1 to 4: Required torque on the drive source side of each jack N・m{kgf・m}

T: Required input torque of the jack body N・m{kgf・m}

Gearbox efficiency: Generally taken as 0.9.

Tt: Total required torque of the drive source N・m{kgf・m}

When four units are connected (Figure 1), T 1 to 4 = T0.9 2.

Figure 1

4台連動

2. Check the allowable input shaft torque

Check that the required input torque of the jack is equal to or less than the allowable input torque of the selected jack.

example)
When the jacks are arranged in a straight line as shown in Figure 2, the required input torque of two jacks is transmitted to the input shaft of the jack on the drive side.
Check that the torque of these two units is below the allowable input shaft torque.

Figure 2

許容入力軸トルクの確認

Required torque for jack A only: T A

Required torque for jack B only: T B

Required torque of driving source T t = T A + T B < Allowable input shaft torque

3. Calculation of the required drive source capacity Pt

The required drive capacity Pt is calculated from the input rotation speed N and the total required torque Tt calculated in 1.

SI units Pt = Tt × N 9550

Gravity unit Pt = Tt×N 974

Pt: Required drive capacity kW

Tt: Total required torque of the drive source N・m{kgf・m}

N: Jack input rotation speed r/min

Selection of other equipment

gearbox

Select based on input rotation speed and allowable torque.

Please refer to the separate catalog for Tsubaki Miter Gear Box.

Coupling

Select based on the allowable torque and maximum shaft diameter.

Please refer to the Tsubaki Coupling catalog.

Linipower Jack selection example

example:

4-unit linked lifter (layout is the same as the 4-unit linked pattern in the diagram below) Factory temperature is normal, there is some dust

The guide is installed on the lifter device side to prevent lateral loads, and the base is fixed - shaft end is supported/fixed. The power supply is three-phase 220V/60Hz.

Frequency of use: 2 times/hour x 8 hours/day x 300 days/year x 3 years of use

  • (1) Maximum load: 98.0kN{10tf}/4 units
  • (2) Required speed: 5mm/s (0.3m/min)
  • (3) Stroke: 260mm

4-unit linked pattern

4-unit linked pattern

*See above for T1 to T4

SI units
  • 1. The corrected load Ws is calculated from the maximum load (Service factor Sf = 1.3).

    Ws = 98000×1.3 = 127400N

  • 2. The load W per jack is
    W = 127400 4×0.85 = 37470N
  • 3. Taking into consideration speed, efficiency, and drive source, the JWB050USH is tentatively selected.
  • 4. The stroke of the jack is set to 300mm, allowing for some leeway, based on the 260mm stroke used. There will be some dust, and considering the shaft end support/fixing (layout in the diagram above), the optional model number JWB050USH3JM is tentatively selected.
  • 5. As a compressive load is applied, the allowable buckling load is calculated using the graph (here) and the buckling calculation formula (here). (Safety factor Sf = 4) For details on the calculation, please see here.
    P CR = 20×10 4 × 31.3 2 637(*From product dimension table) 2 = 473073N
    Sf = 473073 37470 > 4 ... OK
  • 6. It is not a traveling nut specification, so there is no need to consider it.
    (For traveling nut specifications, consider the allowable screw shaft rotation speed.)
  • 7. Required input capacitance P is
    (1)N = 0.30 0.010 ×6 = 180r/min
    (2)T = 37470×0.010 2×3.14×6×0.64 + 1.37 = 16.9N・m
    From (1) and (2), P = 16.9 × 180 9550 = 0.32 kW

    The maximum allowable input capacity of the JWB050USH3 is 2.2kW, so P = 0.32kW < 2.2kW
    (If it does not fit, increase the frame number or reduce the screw shaft speed.
    Please reconsider.)

  • 8. No need to consider overhang load as there is no load.
    (If an overhang load is applied, consider the allowable overhang load.)
  • 9. Checking the lifespan of the JWB type

    Calculate the expected travel distance based on frequency of use (see here)

    Expected travel distance = 0.26 x 2 x 8 x 300 x 10-3 x 3 = 3.74 km

    The jack required from the intersection of expected travel distance and load is JWB050.
    ...OK

  • 10. Jack options

    ジャバラ付-->Dust present ---> Bellows included

    テーブル形先端金具付-->Shaft end shape (End fitting) ----> Table type End fitting fitting

    As a result of the above, the jack model number is determined to be JWB050USH3JM.

{gravity unit}
  • 1. The corrected load Ws is calculated from the maximum load (Service factor Sf = 1.3).

    Ws = 10000×1.3 = 13000kgf

  • 2. The load W per jack is
    W = 13000 4×0.85 = 3824kgf
  • 3. Taking into consideration speed, efficiency, and drive source, the JWB050USH is tentatively selected.
  • 4. The stroke of the jack is set to 300mm, allowing for some leeway, based on the 260mm stroke used. There will be some dust, and considering the shaft end support/fixing (layout in the diagram above), the optional model number JWB050USH3JM is tentatively selected.
  • 5. As a compressive load is applied, the allowable buckling load is calculated using the graph (here) and the buckling calculation formula (here). (Safety factor Sf = 4) For details on the calculation, please see here.
    P CR = 20×10 3 × 31.3 2 637(*From product dimension table) 2 = 47307kgf
    Sf = 47307 3824 > 4 ... OK
  • 6. It is not a traveling nut specification, so there is no need to consider it.
    (For traveling nut specifications, consider the allowable screw shaft rotation speed.)
  • 7. Required input capacitance P is
    (1)N = 0.30 0.010 ×6 = 180r/min
    (2)T = 3824×0.010 2×3.14×6×0.64 + 0.14 = 1.73kgf・m
    From (1) and (2), P = 1.73 × 180 974 = 0.32 kW

    The maximum allowable input capacity of the JWB050USH3 is 2.2kW, so P = 0.32kW < 2.2kW
    (If it does not fit, increase the frame number or reduce the screw shaft speed.
    Please reconsider.)

  • 8. No need to consider overhang load as there is no load.
    (If an overhang load is applied, consider the allowable overhang load.)
  • 9. Checking the lifespan of the JWB type

    Calculate the expected travel distance based on frequency of use (see here)

    Expected travel distance = 0.26 x 2 x 8 x 300 x 10-3 x 3 = 3.74 km

    The jack required from the intersection of expected travel distance and load is JWB050.
    ...OK

  • 10. Jack options

    ジャバラ付-->Dust present ---> Bellows included

    テーブル形先端金具付-->Shaft end shape (End fitting) ----> Table type End fitting fitting

    As a result of the above, the jack model number is determined to be JWB050USH3JM.

Peripheral device selection example

A. Determining the driving source

1. Required torque T1 (2.3.4) on the drive side of each jack

SI units T 1 = 16.9 0.9 2 = 20.9 N·m
Gravity unit T 1 = 1.57 0.9 2 = 2.13 kgf m

The dispersion path for all four jacks is the same.

SI units Tt = T 1 × 4 = 83.5 N m

Gravity unit Tt = T 1 ×4 = 8.52kgf・m

2. Consideration of the maximum allowable input shaft torque of the jack

In this linked pattern, there are no more than two jacks lined up in series, so there is no need to consider this.

3. Required drive capacity Pt

SI units Pt = 83.5 x 180 9550 = 1.57kW
Gravity unit Pt = 8.52 x 180 974 = 1.57 kW

Also, the input speed is 180 r/min.

1800 180 = 10

Based on the above, we select the 2.2kW Tsubaki GMTR221-42L10B Gear Motor with brake.
For details, please refer to the Tsubaki small gear motor catalog.

B.1. The gearbox has an input speed of 180 r/min.
The required input torque for the jack is 15.4N・m {1.57kgf・m }

1-1. The gearboxes on the left and right sides of the jack have the torque of two jacks.
20.9×2 0.9 = 46.4N・m 2.13×2 0.9 = 5.11kgf・m
We selected the ED4M gearbox, which meets the above requirements.

(However, please be careful of the direction of rotation of the gearbox.)

1-2. The gearbox on Gear Motor side is for four jacks, so the torque
20.9×4 0.9 2 = 103N・m 2.13×4 0.9 2 = 8.69kgf・m
The gearbox ED6M that clears this requirement is selected.

Jack side gear box

  • Left side: ED4M 1-LR-OY
  • Right side: ED4M 1-LR-Y

Gear Motor side gearbox

  • ED6M 1-LR-Y

(For details, please refer to the Tsubaki Miter Gear Box Catalog)

B.2. Please select various couplings according to the equipment conditions.
(For details, please refer to the Tsubaki Coupling Catalog)

The method of consideration is

2-1 For the jack-to-gearbox connection, please select the required jack input torque of 16.9 N・m {1.73 kg・fm}, jack input shaft diameter (Φ20 for JWB050USH), and gearbox shaft diameter (Φ19 for ED4M).

The required number is 2 x 2 x 2 = 8 pieces.

Between the 2-2 gearboxes, the torque is equivalent to two jacks.

20.9×2 0.9 = 50.1N・m  2.13×2 0.9 = 5.11kgf・m

Please also select from the jack side gearbox shaft diameter (Φ19 for ED4M) and Gear Motor side gearbox shaft diameter (Φ25 for ED6M).

The required number is 2 x 2 = 4.

Between the 2-3 gearbox and Gear Motor, the torque is equivalent to that of four jacks.

20.9×4 0.92 = 85.2N・m  2.13×4 0.92 = 8.69kgf・m

Please also select from the gearbox shaft diameter (Φ25 for ED6M) and Gear Motor output shaft diameter (Φ42 for GMTR221-42L10B). Two pieces are required.