Lt kat lm e 813

LINE TECH Linear ModulesReady to built-in linear modules with drive

LINE TECH | 2

– Anodized profile, produced in extrusion molding method

– Linear rail guiding system (LM3–LM5)

– Actuation by ball screw, high-helix lead screw or toothed belt

– Optional inductive or mechanical limit switches

– AC servo drives or step motors, appropriate continuous or linear path control

LINE TECH Linear Modules

3 | LINE TECH

Table of content page/s

– Design fundamentals ___________________________________________________4

– Designation system with ball screw drive _________________________________6–7– Designation system with toothed belt drive _______________________________8–9

– Notices for the product selection: - Drives __________________________________________________________ 10–11 - Mounting conditions ______________________________________________ 12–13 - Limit switches, Cables and Mating plugs ____________________________ 14–15 - Tables for cable assembly / plug code___________________________________16

– Load rates ___________________________________________________________17

– Dimension drawings - LM3 (Size 65) ___________________________________________________ 18–21 - LM4 (Size 80) ___________________________________________________ 22–25 - LM5 (Size 110) __________________________________________________ 26–29

– Dimensions motor mount _______________________________________________30

– Grooves and sliding blocks, Profile cross-sections ______________________ 32–33

– Calculation guidelines ______________________________________________ 34–35


LINE TECH | 4


Design fundamentals


LINE TECH linear modules are of modular conception, ready to built-in linear car-riages with drive unit. A linear rail guide with two guiding carriages is used as guiding element. The drive unit preferably consists of ball screws or toothed belts. With little axial load, also high-helix lead screws “Speedy” can be used. The guidance as well as the actuation are protected by a steel strapping or by the drive belt against the intrusion of dirt, chipping etc.The housing as well as the cradle are made of colorless anodized aluminium bars, prefabricated in an extrusion mold-ing process. Additional, external mounted inductive proximity switches allow, in conjunction with servo drives or step motors and the control unit, for the perfect positioning and prevent from the carriage over run.

Lubrication

LINE TECH linear modules stand for a long lasting, maintenance free use. The guide system is therefore equipped with a specially developed device for continuous lubrication.Only the ball screws shall be lubricated approx. every 500 running hours through the provided grease point.

Service temperature

The permissible service temperature of 80° C is predetermined by the compos-ites in use. For the motors and controls refer to the values in the respective publications.

5 | LINE TECH


Notes

LINE TECH | 6

Design

LM = Linear module with linear rail guide

Linear module (Designation exsample)

Size (BxH)

… = 3 = size 65 x 85 mm4 = size 80 x 100 mm5 = size 110 x 129 mm

Stroke absolut [mm]

Protection

B = with steel strapping N = without protection

Drive

N = without drive (in conjunction with mounting condition „00“)R = rolled ball screw

Stroke length per revolution [mm]

LM3 LM4 LM5

rolled ball screw: 005, 010, 016 005, 010, 020 005, 010, 032 1)

1) not possible with ball screw with reduced axial play (preload „R“)

Construction

2 = standard version

Limit switch

0 = without limit switch1 = with 2 limit switches and reference position at front (drive mount)2 = with 2 limit switches and reference position at rear (drive mount opposite)3 = with 2 limit switches and additional reference switch at front (drive mount)4 = with 2 limit switches and additional reference switch at rear (drive mount opposite)

* seen from motor opposite towards motor** available for lateral drive mount only*** standard version


Designation system with ball screw drive

H

B

5 8 3 _ _ _L M 3 . 2 . 0500 B R 016 . 1 . 02 . 0 F - S 7 R L N N

7 | LINE TECH

583... = Drawing type

Mounting conditions

00 = without drive (in conjunction with drive type „N“)

01 = free shaft end02 = with coupling and intermediate flange03 = with crank and clamping04 = set up for lateral drive mount right *05 = set up for lateral drive mount left *06 = set up for lateral drive mount top07 = set up for lateral drive mount bottom08 = with crank, clamping and lateral millimeter scale

Reduction

0 = without reduction (1 : 1 ** by lateral drive mount)1 = reduction 1 : 2 **2 = reduction 1 : 2.5 **

Motor mount

N = without motor mount F = mounting plate for LINE TECH motorS = mounting plate for special motor

Material steel strapping

S = carbon steelR = stainless steelN = without steel strapping

Tolerance class ball screw 7 = 52 µm / 300 mm *** 5 = 23 µm / 300 mm N = without drive

Preload ball screw

V = preloadedR = reduced axial play (play < 0.02 mm) ***N = without drive

Position limit swiches / connector shell

N = without limit switchL = left * R = right *

Connector shell

N = without connector shell (loose cabel L = 2.0 m) ***S = with connector shell

Lateral linear guide N = without lateral linear guide L = lateral linear guide left * R = lateral linear guide right *


Designation system with ball screw drive

00 01 02

03 04 05

06 07 08

5 8 3 _ _ _L M 3 . 2 . 0500 B R 016 . 1 . 02 . 0 F - S 7 R L N N

LINE TECH | 8

LINE TECH-Linear Modules

Designation system with toothed belt drive

Design

LM = Linear module with linear rail guide

Linear Module (Designation exsample)

Size (BxH)

… = 3 = size 65 x 85 mm4 = size 80 x 100 mm5 = size 110 x 129 mm

Stroke absolut [mm]

Protection

B = with steel strapping N = without protection

Drive

N = without drive (in conjunction with mounting condition „00“)Z = toothed belt drive

Stroke per revolution [mm]

LM3 LM4 LM5

toothed belt drive: 155 205 296

Construction

2 = standard version

Limit switch

0 = without limit switch1 = with 2 limit switches and reference position at front (drive mount)2 = with 2 limit switches and reference position at rear (drive mount opposite)3 = with 2 limit switches and additional reference switch at front (drive mount)4 = with 2 limit switches and additional reference switch at rear (drive mount opposite)

* seen from motor opposite towards motor** available for lateral drive mount only*** standard version

H

B

L M 3 . 2 . 0500 B Z 155 . 1 . 12 . 0 F - S N N L N N 5 8 3 _ _ _

9 | LINE TECH

LINE TECH-Linear Modules

Designation system with toothed belt drive

583... = Drawing type

Mounting conditions

00 = without drive (in conjunction with drive type „N“)

11 = free shaft end right *12 = free shaft end left *13 = shaft end right with coupling and intermediate flange *14 = shaft end left with coupling and intermediate flange *17 = free shaft end on both sides (passing shaft)18 = shaft end on both sides, with coupling and intermediate flange right19 = shaft end on both sides, with coupling and intermediate flange left

25 = shaft end right with gear box mounting 26 = shaft end left with gear box mounting27 = shaft on both sides, right with gear box mounting28 = shaft on both sides, left with gear box mounting

Reduction

0 = without reductionX = i = _________ (reduction gear box in conjunction with gear box types „H“ or „S“

Motor mount

N = without motor mount F = motor mount for LINE TECH motorS = motor mount for special motor

Material steel strapping

N = without steel strappingS = carbon steelR = stainless steel

Gear box typeN = without gear box ***H = Servo gear box (AE)S = Standard gear box (FH)

Gear box mounting

N = without gear box D = top / rear H = front / top E = top / front K = front / bottom F = rear / bottom L = bottom / front G = rear / top M = bottom / rear

Position limit switches / Connector box

N = without limit switchL = left * R = right *

Connector box

N = without connector box (loose cable L = 2.0 m) ***S = with connector box

lateral linear guide N = without lateral linear guide L = lateral linear guide at left R = lateral linear guide at right

00 11 12

13 14 17

18 19 25

L M 3 . 2 . 0500 B Z 155 . 1 . 12 . 0 F - S N N L N N 5 8 3 _ _ _

26 27 28

LINE TECH | 10

Drive Size Execution 1) Stroke range Positioning Repeating Reversal Speed Acceleration Axial load rate diam. x pitch accuracy accuracy * backlash max. max. Cdyn C0 [mm] [mm] [µm/mm] [+/- mm] [mm] [m/s] [m/s2] [N]

Ball screw rolled rolled elective rolled normal backlash rolled

LM3 16x5, 16x10, 16x16 ≤ 2000 standard: 130/300 0.01 max. 0.04 3) 10 6950 3400

LM4 20x5, 20x20, 16x50 ≤ 3000 optional: 0.01 or 3) 10 8000 4300

52/300

LM5 32x5, 32x10, 32x32 ≤ 3000 23/300 0.01 pre-loaded 3) 10 25000 15000

High-helix lead screw «Speedy» LM3 16x25, 16x90 ≤ 2000 200/300 0.05 0.1 5) 3) 10 — 1500

LM4 24x40, 18x100 ≤ 3000 200/300 0.05 0.1 5) 3) 10 — 2300

LM5 30x50, 34x80 ≤ 3000 200/300 0.05 0.1 5) 3) 10 — 4200

Toothed belt, circumferential LM3 GT 5/25 155 mm/U ≤ 7600 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 1560 2)

LM4 GT 5/40 205 mm/U ≤ 7500 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 2200 2)

LM5 ST 8/50 296 mm/U ≤ 7400 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 5280 2)

1) additional executions on request 3) subject to screw length and critical RPM (speed) as well as thread pitch 4) no mechanical delimitation, depending on charge * without considering 2) max. strength of extension at 1.6 m/sec 5) special execution preloaded reversal backlash

Drive

In order to simplify the selection of the optimal drive, you’ll find hereafter the vari-ous drive solutions in line with the most important performance data.This allows for the comparison of the dif-ferent drives and the selection of the drive solution appropriate to the customers individual need.

In case of any specific or higher require-ments to the positioning system we ask you to get in contact with LINE TECH customer service.


Selection evidence

11 | LINE TECH

Drive Size Execution 1) Stroke range Positioning Repeating Reversal Speed Acceleration Axial load rate diam. x pitch accuracy accuracy * backlash max. max. Cdyn C0 [mm] [mm] [µm/mm] [+/- mm] [mm] [m/s] [m/s2] [N]

Ball screw rolled rolled elective rolled normal backlash rolled

LM3 16x5, 16x10, 16x16 ≤ 2000 standard: 130/300 0.01 max. 0.04 3) 10 6950 3400

LM4 20x5, 20x20, 16x50 ≤ 3000 optional: 0.01 or 3) 10 8000 4300

52/300

LM5 32x5, 32x10, 32x32 ≤ 3000 23/300 0.01 pre-loaded 3) 10 25000 15000

High-helix lead screw «Speedy» LM3 16x25, 16x90 ≤ 2000 200/300 0.05 0.1 5) 3) 10 — 1500

LM4 24x40, 18x100 ≤ 3000 200/300 0.05 0.1 5) 3) 10 — 2300

LM5 30x50, 34x80 ≤ 3000 200/300 0.05 0.1 5) 3) 10 — 4200

Toothed belt, circumferential LM3 GT 5/25 155 mm/U ≤ 7600 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 1560 2)

LM4 GT 5/40 205 mm/U ≤ 7500 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 2200 2)

LM5 ST 8/50 296 mm/U ≤ 7400 200/1000 0.1 zero backlash 1.6 (optional 5) 4) 5280 2)

1) additional executions on request 3) subject to screw length and critical RPM (speed) as well as thread pitch 4) no mechanical delimitation, depending on charge * without considering 2) max. strength of extension at 1.6 m/sec 5) special execution preloaded reversal backlash


Selection evidence

LINE TECH | 12

Mounting condition

The LINE TECH positioning systems can be purchased in various mounting condi-tions (picture 1 to 10). Depending on the drive selection there are different standard configurations available.

For the dimensions see page 30.


Selection evidence

Picture 2: Free shaft end right hand side(Mounting condition 11)

Picture 4: Screw drive with coupling and intermediate plate(Mounting condition 02)

Picture 3: Free shaft end left hand side(Mounting condition 12)

Picture 1: Free shaft end straight(Mounting condition 01)

13 | LINE TECH


Selection evidence

Picture 7: Screw drive with lateral drive mount bottom(Mounting condition 07)

Picture 8: Screw drive with lateral drive mount top(Mounting condition 06)

Picture 5: Screw drive with lateral drive mount left(Mounting condition 05)

Picture 6: Screw drive with lateral drive mount right(Mounting condition 04)

Picture 9: Belt drive left with coupling and intermediate plate(Mounting condition 14)

Picture 10: Belt drive right with coupling and intermediate plate(Mounting condition 13)

LINE TECH | 14

+ V

DC

0 V

(GN

D)

+ V

DC+ V

DC

0 V

(GN

D)

0 V

(GN

D)

1

4

2

5

3

+ V

DC

0 V

(GN

D)

+ V

DC

0 V

(GN

D)

1

4

2

5

3

Limit switches

The limit switches are used in conjunc-tion with a control unit to limit the stroke (prevent overrunning of the carriage) and to define the reference position. The widely used and LINE TECH stand-ard inductive limit switches are of the PNP-break contact type and show the following characteristics:

Supply: 10…30 VDCCurrent consumption off-load: < 10 mA Load: max. 200 mAMechanical switch-ratio: ≤ 0.4mm

On request the following non standard limit switches are available:– PNP-make type (PNP-NO)– NPN-break type (NPN-NC)– NPN-make type (NPN-NO)– Mechanical limit switch (micro switch) The LINE TECH product range includes continuous- and linear path control sys-tems as well as step motors, AC- and DC servo drives. The individual components are tuned together and complete LINE TECH elements to custom made posi-tioning systems.

Fitting of the limit switches

The fitting position of the limit switches is shown in picture 13a. The reference position can be allocated either to the plus (+) or to the minus (-) limit switch. Special applications often require a sepa-rate reference position switch which will be, upon customer definition, located between the plus and minus limit switch. The limit switch mounted closer to the drive (electrical motor) is named the front or forward limit switch.

Limit switch-counterplugs with cable are not included in the delivery. However they can be ordered ready-made at LINE TECH (picture 13b).

On request the limit switches can be con-nected to a connector shell (picture 13b).

The limit switch cable (article ES31.2P) is equipped with a plug on one side.


Limit switches

Plug connector

The plug pin assignment for standard limit switches is shown in Figs. 11 and 12. The individual pins are assigned as follows:

Pin 1 Minus (–) direction (load)Pin 2 0 V (GND)Pin 3 Plus (–) direction (load)Pin 4 +10...30 V DCPin 5 Reference (load)

Colour code legend for Figs. 11 and 12:Load = black+V DC = brown0 V (GND) = blue

– Direction + Direction

– Direction + DirectionReference

PNPOpener

PNPOpener

PNPOpener

PNPOpener

PNPOpener

Plug SFV50acc. to IEC 60130-9

Plug SFV50acc. to IEC 60130-9

Reference point bridge

Reference point in minus (–) directionFront (drive side)Bridge pin 1–5

Reference point in plus (+) directionRear (opposite drive side)Bridge pin 3–5

Load

Load

Load

Load

Load

Fig. 11: Plug connector with reference point bridge

Fig. 12: Plug connector with additional reference switch

15 | LINE TECH


Limit switches, Cables and Mating plugs

Pluslimit switch

at rearMinuslimit switch in front

Picture 13a: Fitting position of the limit switches

Drive motor

Control unit

Limit switch cable with connector (ES31.2P)Cable length 2 m

Picture 13b: Connector shell and cable

Fig. 14: Mating plug

CablesLINE TECH will assemble your cable to your specifications. Single cables can be obtained as per the following order reference:

LINE TECH can supply the following plug types for connecting limit switches:

- Straight socket Article no.: CFLKB05A

- Angle socket Article no.: CFLKB05B

Plug code feed side

according to table on next page

Plug code actor side


Cable K

Code cable assembly


Cable length

03 = 3 m 05 = 5 m 10 = 10 m(for intermediate lengths use next longer cable)

Use

A = AC motor cableB = Brake cableD = DC motor cableE = encoder cableL = Limit switch cableN = Power cableR = Resolver cableS = Stepper motor cable (3-phase)T = Stepper motor cable (2-phase)Z = Special cable

Sheath definition

Outer / inner

M = PUR / PVC (E-chain suitable) *N = PVC / PVC (E-chain suitable)R = PUR / PUR (E-chain suitable)

* standard

Mating plug for limit switch connection

Connector shell

K L 05 R . 001 . 000 . 103

CFLKB05BCFLKB05A

LINE TECH | 16


Tables for cable assembly / plug code

Cable assembly

Plug code

Code Cable type Use Code Cable type Use

001 5x0.25C11Y-S L, Z 011

002 7x0.25C11Y-S E, Z 012

003 4x2.0X0.25C11Y-S E, R 013

004 014

005 2x0.5x11Y-S B 015

006 016

007 4G0.75C11Y A, S, T 017

008 018

009 4G0.75+2x(2x0.75)C11Y-S A, D 019

010 4G1.5+2x(2x0.75)C11Y-S A, D 020

Code Plug designation Use Code Cable type Use

000 loose cable end all 200 9-pole SUB-D socket E, R

00… 201 9-pole SUB-D plug E, R

00… 202 15-pole SUB-D plug E, R

010 loose cable end for Servostar 300 203 12-pole M23 socket counter-rotating E, R

011 loose cable end for Servostar 400 204 12-pole M23 socket co-rotating E

012 loose cable end for Servostar 600 205 12-pole F-code M23 socket counter-rotating

E

013 loose cable end for Servostar 700 20…

01… 20…

0…… 2……

0…… 2……

101 5-pole DIN41524 M16 straight plug L 301 6-pole 20A 300V M23 plug A

102 5-pole DIN 41524 90° angle plug L 302 4+3+PE 9/26A 300/600 V M23 socket A

103 5-pole DIN 41524 M16 straight socket L 303 4+3+PE 7.5/11A 60/300 V M23 socket A

104 5-pole DIN 41524 90° angle socket L 304 6-pole 11A 380V M23 socket S

10… 30…

10… 30…

111 2-pole M16 straight plug B 3……

112 4-pole 90° angle socket B 3……

17 | LINE TECH

My0

Z

Y

Mz0

Mx0

Cz(1)

Cy(1) Cy(2)

Cz(2)


Load rates

Load rate

The load rate is given by the guiding sys-tem. Considering the requested life time we recommend to apply max. 20% of the dynamic load rate to the unit.

Torque

Also for the torque, the values are de-termined by the execution of the guiding system. The illustration at right (picture 15) shows the directions of possible torque application.

Area momentum

For positioning units the maximum al-lowed deflection angle is of 5’. This value being exceeded will have an impact on the unit’s life-cycle.

Type Drive Load rates dynamic Load rates static Torques static Area momentum Cy(1) Cy(2) Cz(1) Cz(2) Cy0 (1) Cy0 (2) Cz0 (1) Cz0 (2) Mx0 My0 Mz0 Iys Izs

[kN] [kN] [Nm] [cm4]

LM3 Screw drive 14.6 14.6 16.7 16.7 21.2 21.2 25.3 33.8 170 1’483 1’245 64.5 81.7

LM3 Toothed belt 14.6 14.6 16.7 16.7 21.2 21.2 25.3 33.8 170 1’330 1’117 66.9 82.4

LM4 Screw drive 20.5 20.5 23.4 23.4 29.6 29.6 35.2 47.0 320 1’827 1’535 106.5 152.7

LM4 Toothed belt 20.5 20.5 23.4 23.4 29.6 29.6 35.2 47.0 320 2’590 2’176 131.2 197.8

LM5 Screw drive 33.0 33.0 37.6 37.6 45.9 45.9 54.7 73.0 572 3’476 2’920 432.7 594.0

LM5 Toothed belt 33.0 33.0 37.6 37.6 45.9 45.9 54.7 73.0 572 5’803 4’874 451.9 623.9

Picture 15: Directions of possible torque application

LINE TECH | 18

LINE TECH Linear Module LM3

Size 65

Detailled table of content page(s)

– Dimension drawings LM3 (size 65): - LM3.2 with linear rail guiding system and screw drive ______________________19 - LM3.2 with linear rail guiding system and toothed belt drive ____________ 20–21

19 | LINE TECH

Stroke

Nominal size Dimensions Designation L LM Screw length Length steel strapping Weight [mm] [kg]

LM3.2.____ Stroke + 360 L – 58 L + 22 L – 22 4,6 kg + 0,65 kg/100 mm Stroke

LINE TECH Linear Module LM3.2

with linear rail guiding system and screw drive

LINE TECH | 20

33

6585

19,5206

190

19,58 52,5 85

4x M4x8

95 L M 95 L

40

43

26

ø 38 H7x1.5

1146

20 50 50 50

8x M5

ø 15

h9

33

4x M5x8

65


with linear rail guiding system and toothed belt drive (without protection)

Nominal size Dimensions Designation L LM Belt length Weight [mm] [kg]

LM3.2.____NZ Stroke + 435 L – 190 2 x Stroke + 730 4,5 kg + 0,60 kg/100 mm Stroke

Stroke

21 | LINE TECH

33ø 15

h9 33

6585

11

4395 L M95

L

28 52,5 85 4x M4x8

24619,5 19,5

ø 38 H7x1.5

4x M5x8

26

40

46

20 50 50 50190

8x M5

65

Nominal size Dimensions Designation L LM Belt length Length steel strapping Weight [mm] [kg]

LM3.2.____BZ Stroke + 475 L – 190 2 x Stroke + 810 L – 10 4,8 kg + 0,60 kg/100 mm Stroke


with linear rail guiding system and toothed belt drive (with steel strapping)

Stroke

LINE TECH | 22


Size 80



23 | LINE TECH

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LINE TECH | 24

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25 | LINE TECH

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LINE TECH | 26


Size 110



27 | LINE TECH

50 28 394 28 25

42 1104x M10x20

86

LM

L

310

55

ø22

h6

73

129

13

ø85

f8

60,6

25 86

42,5 75 75 75

85

8x M8x18





Stroke

Lubrication hole

LINE TECH | 28

L150 L M 150

110

9

129

88

50

4x M6x12

ø 64 H7x2.5

24,53218 110 85 4x M4x8

24,5

55

ø 19

h7

44

85

40 75 75 75305

8x M8x18

110

69,5

Stroke





29 | LINE TECH

42 110 85 4x M4x8

18,518,5

389

88

50

4x M6x12

ø 64 H7x2.569,5

150 L M150 L

911

012

9

55

ø 19

h7

44

85

40 75 75 75305

8x M8x18

110



Stroke



LINE TECH | 30

F

A1

E

D1

C

B

A2

D2

CG

E

B

Intermediate plate upon motor

Picture 17Screw drive with lateral drive mount right

Picture 19Belt drive right with coupling and intermediate plate

Picture 16Screw drive with coupling and intermediate plate

Picture 18Screw drive with lateral drive mount top

Dimensions motor mount

The basic dimensions for the drive mount are shown in this chapter. The dimen-sions shown in pictures 16 to 19 are also valid for the respective axially symmetric executions (drive mount left or bottom).The drive mount is likely to protrude above or below in most cases (depending on the size of the drive and the module respective.


Dimensions motor mount

Type Dimensions A1 A2 B C D1 D2 E F* G* [mm]

LM3 300 300 120 70 178 178 66 * *

LM4 300 300 120 70 178 178 66 * *

LM5 300 300 120 70 178 178 66 * *

* dimension depending on motor type

Intermediate plate upon motor

31 | LINE TECH


Notes

LINE TECH | 32

a


Grooves and sliding blocks, Profile cross-sections LM3

Grooves and sliding blocks

For all unit sizes the profiles, and often the carriages as well, come with grooves. The cradles of the linear modules LM4 and LM5 are not equipped with such. The fixing on those two types is made through threaded holes.The positions of the grooves as well as the maximum thread reach are shown in profile cross-sections.

According to the groove width, sliding blocks of the types NS5, NS6 and NS8 are suitable. The sliding blocks are available at LINE TECH. The order number must show type, material and thread size (e.q. NS5 St M5). The available types are shown in the chart beside.

Profile cross-sections

Groove Dimension „a“ Material Orderwidth number[mm] [mm]

5 M3 / M4 / M5 St / Inox NS5 __ __6 M4 / M5 / M6 St / Inox NS6 __ __8 M4 / M5 / M6 / M8 St / Inox NS8 __ __

Material Dim. „a“

Sample: NS5 St M5

LM3.2 with linear rail guiding system and toothed belt drive

M1:2

LM3.2 with linear rail guiding system and screw drive

M1:2

33 | LINE TECH


M1:2


M1:2


Profile cross-sections LM4/LM5


M1:2


M1:2

LINE TECH | 34

Concept

The determination of service life must be calculated based on the respective documents of the linear guide bar system and the ball screw drives. Also for the drive belts we shall refer to the specific literature.It is the guide bar or guide roller system which normally determines the service life. Therefore the following rules can be applied for a coarse definition.

Dynamic load

The nominal service life L10 is being calculated from the dynamic load factor Cdyn [N] and the applied load Fr [N]:

Cdyn 3

L10 = (––––) [105 m run] Fr

Static load

in case of only static load to be applied, the static index fS is being calculated in

order to show that a module with an ad-equate load capacity has been selected. Taking into account the static load factor C0 [N] and the load Fr [N] it results:

C0fS = –––– Fr

If fS ≥ 1, the safety margin is sufficient.If fS ≤ 1, contact LINE TECH for further advise.

Remark

The above formulas are applicable only in case all bearings are equally loaded, i.e. the load Fr F is applied at the center of the cradle. Especially in vertical ar-rangements of the linear modules, the drive (screw or belt) must be checked. LINE TECH disposes of different test programs. If you provide us all the necessary infor-mation, we’ll be pleased to assist you.

Definition of the drive motor

The drive motor forms the link between the control signal and the movement to be applied to a given load. Size and type of the drive motor primarily depend on the load, the required displacement speed and the acceleration factor. Cal-culation and choice of a positioning unit shall be based on the worst case service conditions. For the optimal drive unit configuration, LINE TECH offers you different types of step-motors, DC and AC motors together with the appropriate continuous- or linear path control.To allow you the determination of the adequate drive motor for any specific application, always use the formulas and examples shown hereafter.


Calculation guidelines

Key to the formulas at page 43:

d [mm] = screw diameterd1 [mm] = diameter driving wheeld2 [mm] = diameter driven geard3 [mm] = diameter pinion or belt pulleyFL [N] = feed poweri [–] = gear reductionJ [kgm2] = mass moment of inertiaJ1 [kgm2] = mass moment of inertia driving wheelJ2 [kgm2] = mass moment of inertia driven gearJM [kgm2] = mass moment of inertia drive motorJR [kgm2] = rotatory mass moment of inertia JT [kgm2] = translatory mass moment of inertial [mm] = screw lengthMB [Nm] = acceleration torque resp. breaking momentMd [Nm] = motor – continuous torque (see motor spec.) Meff [Nm] = motor – effective output torque

ML [Nm] = load momentMM [Nm] = motor torque (see motor spec.) Mmax [Nm] = motor torque peak mT [kg] = external load ( linear moving mass) nk [min-1] = critical speed for screw drivenM [min-1] = motor speedp [mm] = screw pitchPA [W] = power outputsB [mm] = acceleration / brake pathtB [s] = acceleration / braking periodtL [s] = running time under load momentt0 [s] = stop period unloadedv [m/s] = rate of feedη [–] = mechanical efficiency on motor shaft

35 | LINE TECH

MM

JM

nM J1

J2

p i =d1

d2

mT

vFL

JM

d3

i =d1

d2

MM, nM

mT

v

FL

J1

J2


Calculation guidelines

Motor speed [min-1]

Critical speed [min-1]

Load moment [Nm]

Power output [W]

Translatory mass momentof inertia

Rotatory mass momentof inertia (for steel)

Total of reduced mass momentsmass moments of inertia

Acceleration orBraking moment MB = f (nM)

Acceleration orBraking moment MB = f (sB)

Acceleration orBraking moment tB = f (nM)

Acceleration orBraking moment *tB = f (sB)

Speed reachedafter acceleration

Distance travelledduring acceleration

Sum of torques to beovercome by the motor

Effective value ofmotor output torque

(at gear reduction 1:2 => i = 0.5)

Drive motor Drive motor

(screw pitch)

[kgm2]

[kgm2]

[kgm2]

[Nm]

[Nm]

[s]

[s]

[min-1]

[mm]

[Nm]

[Nm]

nM = v · 6 · 104

p · inM =

v · 6 · 104

π · d3 · i

nK = 120 · 106 ·d

l2

JR = 7,7 · d4 · l · 10-13

J = JM + J1 + i2 (JR + JT + J2)

ML = p · iFL

2 000 · πML = d3 · i

FL

2 000

JT = mT · 10-6p

2 · πJT = mT · 10-6

d3

2

2 2

MB = nM · J

9.55 · tB

MB = 4 · π · sB · J

p · i · tB2

MB = 4 · sB · J

d3 · i · tB2

tB = nM · J

9.55 · MB

sB = nM · tB · p · i

120sB =

nM · tB · d3 · π · i

120

nM = 120 · sB

p · i · tBnM =

120 · sB

d3 · π · i · tB

MM = (ML + MB) 1

η

PA = MM · nM

9.55

Meff = · Md

∑ tB (MM/Md)2 + ∑ tL (ML/Md)

2

∑ tB + ∑ tL + t0

tB = 4 · π · sB · J

p · i · MB

tB = 4 · sB · J

d3 · i · MB

LINE TECH AGEuropastrasse 19CH-8152 GlattbruggPhone +41 43 211 68 68Fax +41 43 211 68 [email protected]

LINE TECH controls and drives are specifically designed for single-axle and multi-axle positioning units. The wide range of products includes continuous- and linear path control systems as well as step motors, DC and AC servo mo-tors and thus meeting any requirement of control systems.

Besides the manufacture of components, LINE TECH specializes in the develop-ment of system solutions. It goes without saying that this includes commissioning by LINE TECH customer service upon request.

The LINE TECH product range includes mechanical, electrical and electronic components which meet all the require-ments of modern handling technology and special purpose machine building.

Due to their superior design character-istics LINE TECH positioning units and LINE TECH linear modules – linear car-riages of modular design – are ideally suited to applications with high precision and performance requirements. Various sizes and a multitude of drives allow for application specific problem solving.

Your LINE TECH representative:

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