kisssoft tut 008 e cylindrical gearpair

7/27/2019 Kisssoft Tut 008 E Cylindrical Gearpair

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KISSsoft 03/2012 Tutorial 8Verify ing a cylindrical gear pair

KISSsoft AG

Uetzikon 4

8634 Hombrechtikon

Switzerland

Tel: +41 55 254 20 50

Fax: +41 55 254 20 51

[email protected]

www.KISSsoft.AG


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Contents

1 Task ......................................................................................................................................................... 31.1 Input data ........................................................................................................................................ 3

1.1.1 Power data ................................................................................................................................. 31.1.2 Geometry .................................................................................................................................... 31.1.3 Reference profile ........................................................................................................................ 31.1.4 Additional data ............................................................................................................................ 3

2 Solution .................................................................................................................................................... 52.1 Starting the software ....................................................................................................................... 52.2 Selecting a calculation .................................................................................................................... 52.3 Gear Pair Geometry ....................................................................................................................... 62.4 Defining the power data and calculation method ............................................................................ 72.5 Material and lubrication .................................................................................................................. 82.6 Reference profile ............................................................................................................................ 92.7 Tolerances ...................................................................................................................................... 92.8 Lubrication .................................................................................................................................... 102.9 Calculate ....................................................................................................................................... 112.10 Report ........................................................................................................................................... 12


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1 Task

This tutorial explains how to input data you already know for cylindrical gear pairs in the KISSsoft system.

You must therefore perform the following steps for an existing cylindrical gear pair:

Input the necessary data in KISSsoft

Analyze it according to DIN 3990

Document the results

1.1 Input data

The method you use to input the following data is described at the end of section 0 in this tutorial:

1.1.1 Power data

Power [P] 3.5 kW

Speed [n] at drive 2500 1/min (Gear1 driving)

Application factor [KA] 1.35

Service life [H] 750 h

1.1.2 Geometry

Normal module [mn] 1.5 mm

Helix angle at reference circle [] 25

Pressure angle at normal section [n] 20

Number of teeth [z] Gear1/Gear2 16 / 43

Face width [b] Gear1/Gear2 14 / 14.5 mm

Center distance [a] 48.9 0.03 mm

Profile shift coefficient [x] Gear 1 (pinion) 0.3215

1.1.3 Reference profile

Dedendum coefficient [h*FP] Root radius coefficient [*fP] Addendum coefficient [h*aP]

Gear 1 (pinion) 1.25 0.3 1.0

Gear 2 1.25 0.3 1.0

1.1.4 Addi tional data

Material:

Material Hardness data Flim Hlim

Gear 1 (pinion) 15 CrNi 6 case-hardened HRC 60 430 N/mm2

1500 N/mm2

Gear 2 15 CrNi 6 case-hardened HRC 60 430 N/mm2

1500 N/mm2

Lubrication:

Grease lubrication Microlube GB 00 80 C


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Base tangent length allowances:

No. of teeth spanned [k] Max. base tangent length

[Wkmax]

Min. base tangent length [Wkmin]

Gear 1 (pinion) 3 11.782 mm 11.758 mm

Gear 2 6 25.214 mm 25.183 mm

Quality [Q] (DIN 3961) 8 / 8

Tooth trace modification End relief

Contact pattern not verified or inappropriate

Type of pinion shaft

ISO 6336 Figure 13a;l = 53 mm; s = 5.9 mm; dsh = 14 mm

Load case for the pinion shaft


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2 Solution

2.1 Starting the software

You can call KISSsoft as soon as the software has been installed and activated. Usually you start the

program by clicking "StartProgram FilesKISSsoft 03-2012KISSsoft". This opens the following

KISSsoft user interface:

Figure 1. Starting KISSsoft, initial window

2.2 Selecting a calculation

In the Modules tree window, select the "Modules" tab to call the calculation for cylindrical gear pairs:

Figure 2. Calling the cylindrical gear calculation


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The KISSsoft input window then opens:

Figure 3. KISSsoft Cylindrical gear calculation input window

The following sections describe how to input parameters for the gear pair.

2.3 Gear Pair GeometryInput the normal module (1.5 mm), pressure angle (20), helix angle (25), center distance (48.9 mm),

number of teeth (16/43), tooth widths (14/14.5 mm), profile shift coefficient (0.3215/...) and the quality (8/8)

in the input window in the "Basic data" tab; "Geometry" group. You cannot input a value for the profile shift

of gear 2 directly because this value is calculated from the center distance and profile shift of the first gear.

However, you can click the Sizing button to size the value to match your requirements. You can set the

quality to suit you, no matter which calculation method is in use.

Figure 4. Module-specific settings. Quality does not depend on calculation method.


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Figure 5. Input window "Basic data" tab, "Geometry" group

Click the Convert button to the right of the input fields to enter additional data for each field, or to input

other data for these particular values. If you need to input an angle, right-click in the input field to open

another window in which you can enter the angle, minutes and seconds:

Figure 6. Additional entries, normal module, angle

2.4 Defining the power data and calculation method

Now, go to the input window in the "Rating" tab, group "Strength" and input the kinematics, the required

service life (750 h) and the application factor (1.35). In this example, the torque is defined by inputting the

power (3.5 kW) and speed (2500 1/min). However, in a different example, if you want to input the torque

and calculate the power, simply set the "Selection" button to the right of the input field from torque to

power. Under Details you can now input even more parameters about strength.

It is also important that you set the reference gear correctly (first gear - gear 1) for the load.

Input the calculation method in the drop-down list you see on the top left. In this case, you must also switch

to DIN 3990 method B.

Figure 7. Input window "Basic data" tab, group: Strength

In the input window in the "Factors" tab, group Face load factor/contact analysis, you can input face load

factor KH either directly (by setting the flag in the checkbox) or define it by clicking the Plus button nextto the input field.


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Figure 8. Define the face load factor

To calculate the load coefficients, you must enter:

The tooth trace modification (in this caseFigure 9).

Possible shaft configurations. To do this, click the Info button to the right of the "Type of pinion shaft"

field in the "Info window" . See the selection on the right-hand side of the next figure. This example

corresponds to Figure A in Figure 9. You can then input the distances l and s as soon as the flag is set in

the checkbox to the right of the corresponding input fields.

You must also select the Position of contact pattern, which is not verified, from the appropriate drop-down

list.

Figure 9. Define face load factor

Note:

You need the shaft configuration to calculate face load factor KH. ISO 6336 (or DIN 3990) provides 5

different configurations from which you can select the one you require. These examples are listed A to E in

the figure at the top, on the right.

Face load factor KH shows the non-linear distribution of the load across the face width. You can request

special instructions from KISSsoft AG about this: see document: "KISSSOFT-anl-072-e.-Contact analysis-

Cylindrical gear calculation.pdf".

2.5 Material and lubr ication

In the "Basic data" tab, "Material and lubrication" group input window you select the gear materials from a

drop-down list. 15 Cr Ni 6, case-carburized steel is used in this example.

You can also select the lubrication as well as the lubrication type.

Figure 10. Input window "Basic data" tab, "Material and Lubrication" group


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Click the Plus button on the far bottom right to define the lubricant temperature.

2.6 Reference profi le

In the "Reference profile" tab you can now input further data, such as the reference profile, the dedendum

coefficient, the root radius factor and the addendum coefficient for Gear 1 and Gear 2.

Figure 11. Input window "Reference profile" tab

2.7 Tolerances

You define the tooth thickness deviation in the "Tolerances" tab. In a verification example, it is often the

case that only the effective tolerances of base tangent length and the number of teeth spanned are

specified. If you input these values, the KISSsoft system will then calculate the correct tooth thicknesstolerances for the tooth form.

In this case, you can also input the center distance tolerances either by selecting them from the drop-down

list or by inputting your own values as shown in the example.

Figure 12. Input window "Tolerances" tab

To input the base tangent lengths, click the "Tolerances" tab, "Deviation" group, and then click the Sizing

button next to the tooth thickness deviation input window (middle markings).


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Figure 13. Calculating the base tangent lengths

You can now input the number of teeth spanned and the base tangent length (min/max). Then click

Calculate . Then click "Accept" to transfer the values to the main screen.

Attention: You cannot input a deviation until profile shifts have been specified for both gears. Otherwise you

will receive incorrect values and you must repeat the sizing process.

Note: You can change the number of teeth spanned between steps 2 and 3. To do this, set the flag in the

checkbox next to the "Number of teeth spanned" field in the input window in the "Settings" group in the

"Tolerances" tab and then change the Number of teeth spanned either in the "Settings" group or in the

calculation screen.

Figure 14. Input window "Tolerances" tab, "Settings" group

2.8 Lubrication

The input window in the "Material and lubrication" group in the "Basic data" tab is only designed to hold the

input value for lubricant temperature for the various types of lubricant that can be used. You can select

other lubrication types and grease types in the appropriate drop-down list when you input the temperature

as a numerical value.

The "Lubricant temperature" input field for oil or grease lubrication defines the basic temperature of the

gear body. For this reason, the "Lubricant temperature" is also important for calculating the effectivelubricant viscosity. The "Ambient temperature" does not affect the calculation (see also 2.5 Material and

lubrication).

The "Ambient temperature" field only defines the base temperature during a dry run. In this case, the

temperature of the gear body does influence the calculation.

Exceptions:

Worm gears: the "Ambient temperature" is an input value used to calculate the temperature

safety coefficient.

Plastic gears: as the strength values of plastic gears depend greatly on the temperature of the gear

body you must input the corresponding temperatures here.


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Figure 15. Inputting the temperature for a dry run

Figure 16. Inputting the temperature for grease lubrication

2.9 CalculateClick in the tool bar or press "F5" to calculate the strength results. As the proof of the contact pattern is

missing, this message appears to tell you the KH value is too high.

Figure 17. Information window after "Calculation"

This means that the calculation for the value KH was performed with an unrealistic contact pattern. Whenyou test the contact pattern in the workshop, you can see whether this assumption was conservative or

realistic.

If you have worked through this tutorial correctly, the highlighted strength values should match Figure 18:


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Figure 18. End result of tutorial

2.10 Report

___ ___ ___ ___ __ ___ ___ ___ __ ___ ___ _KI SSsof t - Rel ease 03-2012____ __ __ ___ ___ __ ___ ___ ___ __ __KI SSsof t Cal cul ati on pr ogr ams f or machi ne desi gn

___ ___ ___ ___ __ ___ ___ ___ __ ___ ___ __ ___ ___ __Dat ei ___ ___ __ ___ ___ __ ___ ___ ___ __ ___ ___ ___ __ __Name : Tut ori al - 008Descri pt i on: KI SSsof t Tut ori alChanged by : sms on: 22. 02. 2012 at : 16: 31: 15

Important hint: At least one warning has occurred during the calculation: 1- > I ndi cat i on:Wi t h the set t i ng ' Posi t i on of t he cont act pat t er n: unf avor abl e'unr eal i st i c hi gh f ace l oad coef f i ci ent KHb i s gi ven for gear s wi t h toot h tr ace modi f i cat i ons.

CALCULATION OF A HELICAL GEAR PAIR

Dr awi ng or ar t i cl e number :Gear 1: 0. 000. 0

Gear 2: 0. 000. 0

Cal cul at i on met hod DI N 3990: 1987 Met hod B

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -

Power ( kW) [ P] 3. 500Speed ( 1/ mi n) [ n] 2500. 0 930. 2Tor que ( Nm) [ T] 13. 4 35. 9Appl i cat i on f actor [ KA] 1. 35Power di st r i but i on f act or [ Kgam] 1. 00Requi r ed ser vi ce l i f e [ H] 750. 00Gear dr i vi ng ( +) / dr i ven ( - ) + -


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1. TOOTH GEOMETRY AND MATERIAL

( geomet r y cal cul at i on accor di ng toI SO 21771: 2007)

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Cent er di st ance ( mm) [ a] 48. 900Cent r e di st ance al l owances ( mm) [ Aa. e/ i ] 0. 030 / - 0. 030Nor mal modul e ( mm) [ mn] 1. 5000Pressur e angl e at normal sect i on ( ) [ al f n] 20. 0000Hel i x angl e at r ef er ence ci r cl e ( ) [ bet a] 25. 0000Number of t eeth [ z] 16 43Facewi dth ( mm) [ b] 14. 00 14. 50Hand of gear r i ght l eftAccur acy grade [ Q- DI N 3961: 1978] 8 8I nner di ameter ( mm) [ di ] 0. 00 0. 00I nner di amet er of gear r i m ( mm) [ dbi ] 0. 00 0. 00

Mater i alGear 1: 15 Cr Ni 6, Case- carbur i zed st eel , case- har dened

I SO 6336- 5 Fi gur e 9/ 10 ( MQ) , cor e st r ength >=25HRC J omi nyJ =12mm=25HRC J omi nyJ =12mm


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Type of prof i l e modi f i cat i on:none ( onl y r unni ng- i n)

Ti p r el i ef ( m) [ Ca] 2. 0 2. 0

Lubr i cat i on t ype Gr ease l ubr i cat i onType of grease Gr ease: Mi cr ol ube GB 00Lubr i cant base Mi ner al - oi l baseKi nem. vi scosi t y base oi l at 40 C ( mm / s) [ nu40] 700. 00Ki nem. vi scosi t y base oi l at 100 C ( mm / s) [ nu100] 35. 00FZG- Test A/ 8. 3/ 90 st ep [ FZGt estA] 12Speci f i c densi t y at 15 C ( kg/ dm ) [ r oOi l ] 0. 900Gr ease t emper ature ( C) [ TS] 80. 000

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Over al l t r ansmi ssi on rati o [ i t ot ] - 2. 688Gear r ati o [ u] 2. 688Tr ansver se modul e ( mm) [ mt ] 1. 655Pressur e angl e at pi t ch ci rcl e ( ) [ al f t ] 21. 880Worki ng t r ansver se pr essur e angl e ( ) [ al f wt ] 22. 100

[ al f wt . e/ i ] 22. 186 / 22. 013Worki ng pr essur e angl e at normal sect i on ( ) [ al f wn] 20. 199Hel i x angl e at oper at i ng pi t ch ci r cl e ( )

[ bet aw] 25. 034Base hel i x angl e ( ) [ bet ab] 23. 399Ref erence cent r e di st ance ( mm) [ ad] 48. 824Sum of pr ofi l e shi f t coef f i ci ent s [ Summexi ] 0. 0506

Prof i l e shi f t coef f i ci ent [ x] 0. 3215 - 0. 2709Toot h t hi ckness ( Arc) ( modul e) [ sn* ] 1. 8048 1. 3736

Ti p al t erat i on ( mm) [ k*mn] 0. 000 0. 000Ref erence di amet er ( mm) [ d] 26. 481 71. 168Base di amet er ( mm) [ db] 24. 573 66. 041Ti p di amet er ( mm) [ da] 30. 446 73. 355

( mm) [ da. e/ i ] 30. 446 / 30. 436 73. 355 / 73. 345Ti p di amet er al l owances ( mm) [ Ada. e/ i ] 0. 000 / - 0. 010 0. 000 / - 0. 010Ti p chamf er / t i p r oundi ng ( mm) [ hK] 0. 000 0. 000Ti p f or m di amet er ( mm) [ dFa] 30. 446 73. 355

( mm) [ dFa. e/ i ] 30. 446 / 30. 436 73. 355 / 73. 345Act i ve t i p di ameter ( mm) [ dNa. e/ i ] 30. 446 / 30. 436 73. 355 / 73. 345Oper at i ng pi t ch di amet er ( mm) [ dw] 26. 522 71. 278

( mm) [ dw. e/ i ] 26. 538 / 26. 506 71. 322 / 71. 234Root di amet er ( mm) [ df ] 23. 696 66. 605

Gener at i ng Profi l e shi f t coef f i ci ent [ xE. e/ i ] 0. 2601 / 0. 2367 - 0. 3275 / - 0. 3577Manufactur ed r oot di ameter wi t h xE ( mm) [ df . e/ i ] 23. 511 / 23. 441 66. 436 / 66. 345Theoret i cal t i p cl earance ( mm) [ c] 0. 375 0. 375Ef f ect i ve t i p cl earance ( mm) [ c. e/ i ] 0. 540 / 0. 429 0. 537 / 0. 437Act i ve r oot di ameter ( mm) [ dNf ] 25. 050 68. 670

( mm) [ dNf . e/ i ] 25. 086 / 25. 020 68. 719 / 68. 627Root f orm di ameter ( mm) [ dFf ] 24. 894 67. 921

( mm) [ dFf . e/ i ] 24. 820 / 24. 794 67. 816 / 67. 761Reserve ( dNf - dFf ) / 2 ( mm) [ cF. e/ i ] 0. 146 / 0. 100 0. 479 / 0. 405Addendum( mm) [ ha = mn * ( haP*+x) ] 1. 982 1. 094

( mm) [ ha. e/ i ] 1. 982 / 1. 977 1. 094 / 1. 089Dedendum ( mm) [ hf = mn * ( hf P*- x) ] 1. 393 2. 281

( mm) [ hf . e/ i ] 1. 485 / 1. 520 2. 366 / 2. 411Rol l angl e at dFa ( ) [ xsi _dFa. e/ i ] 41. 909 / 41. 870 27. 702 / 27. 682Rol l angl e t o dNa ( ) [ xsi _dNa. e/ i ] 41. 909 / 41. 870 27. 702 / 27. 682Rol l angl e t o dNf ( ) [ xsi _dNf . e/ i ] 11. 766 / 10. 969 16. 480 / 16. 189Rol l angl e at dFf ( ) [ xsi _dFf . e/ i ] 8. 135 / 7. 696 13. 371 / 13. 160

Toot h hei ght ( mm) [ H] 3. 375 3. 375Vi r t ual gear no. of t eet h [ zn] 20. 960 56. 329Normal t oot h t hi ckness at t i p cyl . ( mm) [ san] 0. 874 1. 225

( mm) [ san. e/ i ] 0. 806 / 0. 771 1. 166 / 1. 127Normal spacewi dth at r oot cyl i nder ( mm) [ ef n] 0. 000 1. 352

( mm) [ef n. e/ i ] 0. 000 / 0. 000 1. 388 / 1. 409Max. sl i di ng vel oci t y at t i p ( m/ s) [ vga] 1. 436 0. 919Speci f i c sl i di ng at t he t i p [ zet aa] 0. 610 0. 591Speci f i c sl i di ng at t he root [ zet af ] - 1. 443 - 1. 567Sl i di ng f actor on t i p [ Kga] 0. 414 0. 265Sl i di ng f actor on r oot [ Kgf ] - 0. 265 - 0. 414Pi t ch on r ef er ence ci r cl e ( mm) [ pt ] 5. 200Base pi t ch ( mm) [ pbt ] 4. 825Tr ansver se pi t ch on cont act - path ( mm) [ pet ] 4. 825Lead hei ght ( mm) [ pz] 178. 408 479. 470Axi al pi t ch ( mm) [ px] 11. 150

Length of path of cont act ( mm) [ ga, e/ i ] 6. 555 ( 6. 635 / 6. 456)Length T1- A, T2- A ( mm) [ T1A, T2A] 2. 432( 2. 352/ 2. 523) 15. 965(15. 965/ 15. 954)


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Length T1- B ( mm) [ T1B, T2B] 4. 162( 4. 162/ 4. 154) 14. 235(14. 155/ 14. 323)Length T1- C ( mm) [ T1C, T2C] 4. 989( 4. 967/ 5. 011) 13. 408(13. 350/ 13. 466)Length T1- D ( mm) [ T1D, T2D] 7. 257( 7. 177/ 7. 348) 11. 140(11. 140/ 11. 129)Length T1- E ( mm) [ T1E, T2E] 8. 987( 8. 987/ 8. 979) 9. 410( 9. 330/ 9. 498)Lengt h T1- T2 ( mm) [ T1T2] 18. 397 ( 18. 317 / 18. 477)Di ameter of si ngl e cont act poi nt B ( mm)

[ d- B] 25. 945(25. 945/ 25. 940) 71. 916(71. 853/ 71. 986)Di ameter of si ngl e cont act poi nt D ( mm)

[ d- D] 28. 540(28. 459/ 28. 633) 69. 698(69. 698/ 69. 691)Addendumcontact r ati o [ eps] 0. 829( 0. 833/ 0. 822) 0. 530( 0. 542/ 0. 516)Mi ni mal l ength of cont act l i ne ( mm) [ Lmi n] 19. 611

Tr ansver se cont act r at i o [ eps_a] 1. 359Tr ansver se cont act r at i o wi t h al l owances [ eps_a. e/ m/ i ] 1. 375 / 1. 357 / 1. 338Over l ap r ati o [ eps_b] 1. 256Tot al cont act r at i o [ eps_g] 2. 614Tot al cont act r at i o wi t h al l owances [ eps_g. e/ m/ i ] 2. 631 / 2. 612 / 2. 594

2. FACTORS OF GENERAL INFLUENCE

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Nomi nal ci r cum. f orce at pi t ch ci r cl e ( N)

[ Ft] 1009. 7Axi al f or ce ( N) [ Fa] 470. 8Radi al f or ce ( N) [ Fr] 405. 5

Normal f orce ( N) [ Fnor m] 1185. 6Tangent . l oad at p. c. d. per mm ( N/ mm) ( N/ mm)

[ w] 72. 12Onl y as i nf ormat i on: For ces at oper at i ng pi t ch ci r cl e:Nomi nal ci r cumf er ent i al f orce ( N) [ Ft w] 1008. 1Axi al f orce ( N) [ Faw] 470. 8Radi al f orce ( N) [ Frw] 409. 4Ci r cumf er ent i al speed pi t ch d. . ( m/ sec) [ v] 3. 47

Runni ng- i n val ue ( m) [ yp] 1. 1Runni ng- i n val ue ( m) [ yf ] 0. 9Cor r ecti on coef f i ci ent [ CM] 0. 800Gear body coef f i ci ent [ CR] 1. 000Ref er ence pr of i l e coef f i ci ent [ CBS] 0. 975Mat eri al coef f i ci ent [ E/ Est] 1. 000Si ngul ar t oot h st i f f ness ( N/ mm/ m) [c' ] 11. 915

Meshi ng st i f f ness ( N/ mm/ m) [ cg] 15. 120Reduced mass ( kg/ mm) [ mRed] 0. 00235Resonance speed ( mi n- 1) [ nE1] 47834Runni ng- i n val ue ( m) [ ya] 1. 1Bear i ng di st ance l of pi ni on shaft ( mm) [ l ] 53. 000Di st ance s of pi ni on shaf t ( mm) [ s] 5. 900Out si de di ameter of pi ni on shaf t ( mm) [ dsh] 14. 000Load accordi ng t o

DI N 3990- 1: 1987 Bi l d 6. 8 [ - ] 0( 0: 6. 8a, 1: 6. 8b, 2: 6. 8c, 3: 6. 8d, 4: 6. 8e)Factor K' f ol l owi ng

DI N 3990- 1: 1987 Bi l d 6. 8 [ K' ] 0. 80Wi t hout suppor t ef f ectToot h t r ace devi at i on ( act i ve) ( m) [ Fby] 12. 41

f r omdef ormat i on of shaf t ( m) [ f sh*B1] 2. 56Toot h t r ace: wi t h end r el i efPosi t i on of Cont act pat t er n: not ver i f i ed or i nappr opr i at e

f r omproduct i on t ol erances ( m) [ f ma*B2] 11. 20Toot h t r ace devi at i on, t heoret i cal ( m) [ Fbx] 14. 60Runni ng- i n val ue ( m) [ yb] 2. 2

Dynami c f act or [ KV] 1. 049

Face l oad f act or - f l ank [ KHb] 1. 919- Tooth r oot [ KFb] 1. 644- Scuf f i ng [ KBb] 1. 919

Tr ansver se l oad f act or - f l ank [ KHa] 1. 344- Tooth r oot [ KFa] 1. 344- Scuf f i ng [ KBa] 1. 344

Hel i cal l oad f actor scuf f i ng [ Kbg] 1. 242

Number of l oad cycl es ( i n mi o. ) [ NL] 112. 500 41. 860


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3. TOOTH ROOT STRENGTH

Cal cul ati on of Tooth for m coeff i ci ent s accor di ng method: B( Cal cul ate t oot h f orm f act or YF wi t h manuf actur i ng addendum mod. xE. e)

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Toot h f or m f act or [ YF] 1. 37 1. 67St r ess cor r ecti on f actor [ YS] 2. 15 1. 84Worki ng angl e ( ) [ al f en] 21. 64 18. 97Bendi ng l ever arm ( mm) [ hF] 1. 52 1. 84Toot h t hi ckness at r oot ( mm) [ sFn] 3. 14 3. 15Toot h r oot r adi us ( mm) [ r oF] 0. 65 0. 82( hF* = 1. 012/ 1. 225 sFn* = 2. 093/ 2. 102 r oF* = 0. 431/ 0. 545 dsFn = 24. 00/ 67. 03 al f sFn =30. 00/ 30. 00)

Cont act r at i o f actor [ Yeps] 1. 000Hel i cal l oad f actor [ Ybet ] 0. 792Ef f ecti ve f acewi dt h ( mm) [ bef f ] 14. 00 14. 50Nomi nal shear s t r ess at t ooth r oot ( N/ mm )

[ si gF0] 112. 30 113. 33Toot h r oot st r ess ( N/ mm ) [ si gF] 351. 41 354. 63

Per mi ssi bl e bendi ng st r ess at r oot of Test - gearSupport f act or [ Ydr el T] 0. 999 0. 994Sur f ace f act or [ YRr el T] 0. 957 0. 957Si ze coef f i ci ent ( Tooth r oot ) [ YX] 1. 000 1. 000Fi ni t e l i f e f actor [ YNT] 1. 000 1. 000

[ Ydr el T*YRr el T*YX*YNT] 0. 956 0. 951Al t ernat i ng bendi ng coeff i ci ent [ YM] 1. 000 1. 000St ress cor rect i on f actor [ Yst] 2. 00Li mi t st r ength t oot h r oot ( N/ mm ) [ si gFG] 822. 21 818. 14Per mi ssi bl e t oot h r oot st r ess (N/ mm )

[ si gFP=si gFG/ SFmi n] 632. 47 629. 34Requi r ed saf ety [ SFmi n] 1. 30 1. 30Saf ety f or Tooth r oot st r ess [ SF=si gFG/ si gF] 2. 34 2. 31Tr ansmi t t abl e power ( kW) [ kWRat i ng] 6. 30 6. 21

4. SAFETY AGAINST PITTING (TOOTH FLANK)

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Zone f actor [ ZH] 2. 291

El ast i ci t y coef f i ci ent ( N . 5/ mm) [ ZE] 189. 812Cont act r ati o f act or [ Zeps] 0. 858Hel i x angl e f act or [ Zbet] 0. 952Ef f ect i ve f acewi dt h ( mm) [ bef f ] 14. 00Nomi nal f l ank pressure ( N/ mm ) [ si gH0] 686. 65Sur f ace pr essur e at operat i ng pi t ch ci r cl e ( N/ mm )

[ si gHw] 1312. 18Si ngl e t oot h cont act f act or [ ZB, ZD] 1. 00 1. 00Fl ank pressure ( N/ mm ) [ si gH] 1312. 18 1312. 18

Lubr i cat i on f act or [ ZL] 1. 096 1. 093Speed f actor [ ZV] 0. 974 0. 975Roughness f actor [ ZR] 0. 945 0. 946Mater i al mati ng f actor [ ZW] 1. 000 1. 000Fi ni t e l i f e f actor [ ZNT] 1. 000 1. 014

[ ZL*ZV*ZR*ZNT] 1. 009 1. 022Smal l amount of pi t t i ng permi ssi bl e ( 0=no, 1=yes) 0 0

Si ze coef f i ci ent ( f l ank) [ ZX] 1. 000 1. 000Li mi t st r ength pi t t i ng ( N/ mm ) [ si gHG] 1513. 28 1533. 36Per mi ssi bl e sur f ace pressure ( N/ mm ) [ si gHP=si gHG/ SHmi n] 1592. 92 1614. 07

Saf et y f or sur f ace pr essur e at oper at i ng pi t ch ci r cl e[ SHw] 1. 15 1. 17

Requi r ed saf ety [ SHmi n] 0. 95 0. 95Tr ansmi t t abl e power ( kW) [ kWRat i ng] 5. 16 5. 30Saf et y f or st r ess at si ngl e t oot h cont act

[ SHBD=si gHG/ si gH] 1. 15 1. 17( Saf ety r egardi ng nomi nal t orque) [ ( SHBD) 2] 1. 33 1. 37

4b. MICROPITTING ACCORDING TO ISO TR 15144-1:2010

Cal cul ati on di d not r un. ( Lubr i cant : Load st age mi cr opi t t i ng t est i s unknown


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5. STRENGTH AGAINST SCUFFING

Cal cul ati on method accordi ng toDI N 3990: 1987

The cal cul at i on of l oad capaci t y f or scuf f i ng does not cover grease.The FZG- Test st age [ FZGt est A] i s onl y est i mat ed f or grease.The cal cul at i on can onl y ser ve as a r ough gui de. !

Lubr i cat i on coef f i ci ent ( f or l ubri cat i on t ype)[ XS] 1. 200

Rel at i ve str ucture coef f i ci ent ( Scuf f i ng)[ XWr el T] 1. 000

Thermal cont act f act or ( N/ mm/ s . 5/ K) [ BM] 13. 780 13. 780Rel evant t i p r el i ef ( m) [ Ca] 2. 00 2. 00Opt i mal t i p r el i ef ( m) [ Cef f ] 6. 44Ef f ect i ve f acewi dt h ( mm) [ bef f ] 14. 000Appl i cabl e ci r cumf er ent i al f orce/ f acewi dt h ( N/ mm)

[ wBt ] 327. 144Pressur e angl e f act or ( eps1:

0. 829, eps2: 0. 530) [ Xal f bet] 0. 990

Fl ash t emper at ur e- cri t er i aToot h mass t emperat ure ( C) [ t heM- B] 116. 53

t heM- B = t heoi l + XS*0. 47*t hef l amax [ t hefl amax] 64. 76Scuf f i ng t emperat ure ( C) [ t heS] 398. 47

Coordi nat e gamma ( poi nt of hi ghest t emp. ) [ Gamma] 0. 455[ Gamma. A] = - 0. 513 [ Gamma. E]= 0. 801

Hi ghest cont act t emp. ( C) [ t heB] 181. 29Fl ash f act or ( K*N - . 75*s . 5*m - . 5*mm) [ XM] 50. 058Geometr y f actor [ XB] 0. 215Load shar i ng f actor [ XGam] 1. 000Dynami c vi scosi t y ( mPa*s) [ etaM] 17. 93Coef f i ci ent of f r i cti on [ mym] 0. 112Requi r ed saf ety [ SBmi n] 2. 000Saf et y f actor f or scuf f i ng ( f l ash- t emp) [ SB] 3. 144

I nt egral t emper at ure- cri t eri aToot h mass t emperat ure ( C) [ t heM- C] 100. 52

t heM- C = t heoi l + XS*0. 70*thef l ai nt [ t hef l ai nt ] 24. 42I nt egr al scuf f i ng t emperature ( C) [ t heSi nt ] 398. 47Fl ash f act or ( K*N - . 75*s . 5*m - . 5*mm) [ XM] 50. 058

Cont act r ati o f act or [ Xeps] 0. 282Dynami c vi scosi t y ( mPa*s) [ etaOi l ] 63. 62Aver aged coeff i ci ent of f r i ct i on [ mym] 0. 089Geometr y f actor [ XBE] 0. 364Meshi ng f actor [ XQ] 1. 000Ti p r el i ef f act or [ XCa] 1. 000I nt egr al t ooth f l ank t emper at ur e ( C) [ t hei nt ] 137. 15Requi r ed saf ety [ SSmi n] 1. 800Saf et y f actor f or scuf f i ng ( i nt g. - t emp. ) [ SSi nt ] 2. 905Saf et y r ef er r i ng t o t r ansf er r ed t orque [ SSL] 5. 573

6. MEASUREMENTS FOR TOOTH THICKNESS

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -Toot h t hi ckness devi at i on Own I nput Own I nputToot h t hi ckness al l owance ( normal sect i on) ( mm)

[ As. e/ i ] - 0. 067 / - 0. 093 - 0. 062 / - 0. 095

Number of t eeth spanned [ k] 3. 000 6. 000Base t angent l ength ( no backl ash) ( mm) [ Wk] 11. 845 25. 272Act ual base t angent l engt h ( ' span' ) ( mm) [ Wk. e/ i ] 11. 782 / 11. 758 25. 214 / 25. 183Di ameter of contact poi nt ( mm) [ dMWk. m] 26. 843 69. 973

Theoret i cal di amet er of bal l / pi n ( mm) [ DM] 2. 789 2. 496Ef f . Di ameter of bal l / pi n ( mm) [ DMef f ] 3. 000 2. 500Theor. di m. cent r e t o bal l ( mm) [ Mr K] 16. 053 36. 846Act ual di mensi on cent r e t o bal l ( mm) [ Mr K. e/ i ] 15. 989 / 15. 964 36. 760 / 36. 714Di ameter of contact poi nt ( mm) [ dMMr . m] 27. 596 70. 166Di amet r al measurement over t wo bal l s wi t hout cl earance ( mm)

[ MdK] 32. 107 73. 644Act ual di mensi on over bal l s ( mm) [ MdK. e/ i ] 31. 978 / 31. 929 73. 473 / 73. 381Di ametr al measurement over r ol l s wi t hout cl ear ance ( mm)

[ MdR] 32. 107 73. 691Act ual di mensi on over r ol l s ( mm) [ MdR. e/ i ] 31. 978 / 31. 929 73. 520 / 73. 428


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Di mensi ons over 3 rol l s wi t hout cl ear ance (mm)[ Md3R] 0. 000 73. 691

Act ual di mensi ons over 3 r ol l s ( mm) [ Md3R. e/ i ] 0. 000 / 0. 000 73. 520 / 73. 428

Chor dal t ooth t hi ckness ( no backl ash) ( mm)[ ' sn] 2. 704 2. 060

Act ual chordal t oot h t hi ckness ( mm) [ ' sn. e/ i ] 2. 637 / 2. 611 1. 998 / 1. 965Reference chordal hei ght f r omda. m ( mm) [ ha] 2. 037 1. 103Toot h t hi ckness ( Arc) ( mm) [ sn] 2. 707 2. 060

( mm) [ sn. e/ i ] 2. 640 / 2. 615 1. 999 / 1. 966

Backl ash f r ee cent er di st ance ( mm) [ aCont r ol . e/ i ] 48. 723 / 48. 641Backl ash f r ee cent er di st ance, al l owances (mm)

[j ta] - 0. 177 / - 0. 259Cent r e di st ance al l owances ( mm) [ Aa. e/ i ] 0. 030 / - 0. 030Ci r cumf er ent i al backl ash f r om Aa ( mm) [ j t _Aa. e/ i ] 0. 024 / - 0. 024Radi al cl ear ance ( mm) [ j r ] 0. 289 / 0. 147Ci r cumf erent i al backl ash ( t r ansver se secti on) ( mm)

[ j t ] 0. 231 / 0. 118Tor si onal angl e f or f i xed gear 1 ( ) 0. 3725 / 0. 1899Normal backl ash ( mm) [ j n] 0. 197 / 0. 100

7. GEAR ACCURACY

- - - - - - - GEAR 1 - - - - - - - - GEAR 2 - -

Accordi ng t oDI N 3961: 1978:

Accur acy grade [ Q- DI N3961] 8 8Prof i l e f orm devi at i on ( m) [ f f ] 12. 00 12. 00Prof i l e sl ope devi at i on ( m) [ f Ha] 10. 00 10. 00Tot al prof i l e devi at i on ( m) [ Ff ] 16. 00 16. 00Hel i x f or m devi at i on ( m) [ f f b] 8. 00 8. 00Hel i x sl ope devi at i on ( m) [ f Hb] 16. 00 16. 00Tot al hel i x devi at i on ( m) [ Fb] 18. 00 18. 00Normal base pi t ch devi ati on ( m) [ f pe] 13. 00 14. 00Si ngl e pi t ch devi ati on ( m) [ f p] 13. 00 14. 00Di f f erence bet ween adj acent pi t ches ( m) [ f u] 17. 00 18. 00Tot al cumul at i ve pi t ch devi at i on ( m) [ Fp] 38. 00 49. 00Cumul at i ve ci r cul ar pi t ch devi at i on over z/ 8 pi t ches (m)

[ Fpz/ 8] 24. 00 31. 00Concent r i ci t y devi at i on ( m) [ Fr] 27. 00 32. 00

Toot h Thi ckness Var i at i on ( m) [ Rs] 15. 00 19. 00Tot al r adi al composi t e devi at i on ( m) [ Fi " ] 33. 00 40. 00Radi al t oot h- t o- t oot h composi t e devi ati on ( m)

[ f i "] 13. 00 16. 00Tot al t angent i al composi t e devi at i on ( m)

[ Fi ' ] 44. 00 52. 00Tangent i al t oot h- t o- t oot h composi t e devi at i on ( m)

[f i ' ] 21. 00 21. 00

Accordi ng t oDI N 58405: 1972 ( Fei nwerkt echni k) :

Toot h- t o- t oot h composi t e er r or ( m) [ f i " ] 14. 00 16. 00Composi t e err or ( m) [ Fi " ] 40. 00 45. 00Axi s al i gnment err or ( m) [ f p] 13. 69 13. 69Fl ank di r ecti on er r or ( m) [ f bet a] 9. 00 9. 00Concent r i ci t y devi at i on ( m) [ Trk, Fr] 56. 00 65. 00

Axi s al i gnment t ol erances ( r ecommendat i on acc. I SO TR 10064: 1992, Qual i t y8)

Maxi mum val ue f or devi ati on err or of axi s ( m)[ f Si gbet] 39. 75 ( Fb=21. 00)

Maxi mum val ue f or i ncl i nat i on er r or of axes ( m)[ f Si gdel ] 79. 50

8. ADDITIONAL DATA

Maxi mal possi bl e cent r e di st ance ( eps_a=1. 0)[ aMAX] 49. 577

Tor si onal st i f f ness ( MNm/ r ad) [ cr ] 0. 0 0. 2Mean coef f . of f r i ct i on ( acc. Ni emann) [ mum] 0. 098Wear sl i di ng coef . by Ni emann [ zet w] 0. 819Power l oss f r omgear l oad ( kW) [ PVZ] 0. 061

( Meshi ng eff i ci ency ( %) [ etaz] 98. 253)Wei ght - cal cul ated wi t h da ( g) [ Mass] 79. 80 479. 82


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Tot al wei ght ( g) [ Mass] 559. 63Moment of i ner t i a (Syst emr ef erenced t o wheel 1) :cal cul at i on wi t hout consi der at i on of t he exact t oot h shape

si ngl e gear s ( ( da+df ) / 2. . . di ) ( kg*m ) ( kg*m )[ Tr aeghMom] 5. 684e- 006 0. 0002656

Syst em ( ( da+df ) / 2. . . di ) ( kg*m ) ( kg*m )[ Tr aeghMom] 4. 246e- 005

I ndi cat i ons f or t he manuf act ur i ng by wi r e cut t i ng:Devi at i on f r omt heoret i cal t oot h t r ace ( m) [ Wi r eEr r ] 400. 3 149. 6Per mi ssi bl e devi ati on ( m) [ Fb/ 2] 9. 0 9. 0

9. DETERMINATION OF TOOTHFORM

Dat a f or t he t oot h f orm cal cul at i on :Dat a not avai l abl e.

REMARKS:- Speci f i cat i ons wi t h [ . e/ i ] i mpl y: Maxi mum [ e] and Mi ni mal val ue [ i ] wi t h

consi der at i on of al l t ol er ancesSpeci f i cat i ons wi t h [ . m] i mpl y: Mean val ue wi t hi n t ol erance

- For t he backl ash tol erance, t he cent er di st ance tol erances and the t oot h thi cknessdevi at i on are taken i nto account . Shown i s t he maxi mal and the mi ni mal backl ash cor r espondi ng

t he l argest r esp. t he smal l est al l owancesThe cal cul at i on i s done f or t he Operat i ng pi t ch ci r cl e. .- Detai l s of cal cul at i on met hod:

cg accordi ng t o met hod BKV accor di ng t o met hod BKHb, KFb accor di ng met hod CKHa, KFa accor di ng to met hod B

End r eport l i nes: 516

kisssoft tut 008 e cylindrical gearpair

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