Computation of the Leuven milling machine: status results of Eindhoven

(1)

Computation of the Leuven milling machine

Citation for published version (APA):

Bosma, W. D. G., Hijink, J. A. W., & van der Wolf, A. C. H. (1973). Computation of the Leuven milling machine:

status results of Eindhoven. (TH Eindhoven. Afd. Werktuigbouwkunde, Laboratorium voor mechanische

technologie en werkplaatstechniek : WT rapporten; Vol. WT0309). Technische Hogeschool Eindhoven.

Document status and date:

Published: 01/01/1973

Document Version:

Publisher’s PDF, also known as Version of Record (includes final page, issue and volume numbers)

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(2)

technische hogeschoo( eindhoven

laboratoriwm voar mechc'I1!sche technologie en werkplaotstechniek

van de seetie:

t,{T

COHPUTATION OF THE LEUVEN HIlLING f-1ACHINE

sornerwotti ng

prognose

• 'if"

D

(I Bo~,ma

Ir .. J.A.W. Hi

Profcdr"iro A .. C .. H. van del' Wolf

S'I'ATIC RESULTS.

z.

1 van

11 codering:

trefwoord:

datum:

jan"

'73

aantol biz.

geschikt vear

publicatie in:

(3)

C.I.R.P. GROUP Ma, CO-OPERATIVE WORK ON

COMPUTER AIDED DESIGN AND ANALYSIS

OF

MACHINE TOOL STRUCTURES

COMPUTATION

OF

THE LEUVEN MILLING MACHINE

STATIC RESULTS OF EINDHOVEN

UNIVERSITY

OF

TECHNOLOGY

JANUARY, 1973

W.D.G.

BOSMA

J.A.W.

HIJINK

(4)

2

PREFACE

This report deals with the results of two models.

The characteristic values of model 1 ,.Jere derived by just

looking at the drawings.

Because this model did not fit when comparing the computed

deflections with the measured ones, a second model was made

in which model 1 values of 1Y, 1Z and

J

were adapted on a

try and error base to match the measured deflections.

This meant that the column had to be stiffened considerably

and the support made much more flexible.

Also the stiff element nr. 33 between column and support was

shortened.

(5)

3

12

@

36

11

TOLERANTIES VLGS Nl:N 2365 PROjECTlE BENAMING

_{MATHEMATICAL MODEL}

FOR

b.v.8 :l:: 0.15 8':'

~:~ ~_

300 10' :l:: 30"

AM

STATIC CALCULATIONS OF

lEUVEN

MILLING

MACHINE

?ASSINGfN VLGS N SOL

I

RUWHE1DSWAARDEN VlGS NEN 630

I

AANTAI. MATERIAAl

-I:~

TECHNISCHE HOGESCHOOl EINDHOVEN

SCHAAl. DATUM TEKENINGNR.

AFDEl.Il'>IG:

W

_GET.: _{'~7:~'~//{tt~}/./1

A4

(6)

4

CHARACTERISTICS OF ELEMENTS FROM DRAWINGS (model

1 )

ELEMENT

L(m)

A(m2)

IY(m4)

IZ(m4)

J(m4)

1

0.195 0.10E-t

0.48E-5

0.47E-4

0.52E-4

2

0.195 O. 10E-l

O.48E-5

0.47E-4

0.52E-4

3

0.280 0.16E-l

0.90E-5

0.10E-4

0.98E-4

4

0.280 0.16E-l

0.90E-5

0.IOE-4

0.98E-4

5

0.120 0.90E-i

0.10E-Z

0.10E-2

0.20E-2

6

0.189 0.10E-l

0.38E-4

0.35E-4

0.46E-4

7 O. 136

0.12E-I

0.59E-4

0.45E-4

0.68E-4

8

0.127 O.13E-i

0.93E-4

0.62E-4

0.10E-3

9

0.180 0.17E-l

0.40E-3

0.IOE-2

0.10E-3

10

0.217 0.19E-i

0.46E-4

0.45E-4

0.40E-5

11

0.622 0.23E-l

0.40E-3

0.] OE-2

0.10E-3

12

0.135 O.20E-I

O.5IE-4

O.35E-4

0.80E-4

13

0.100 O.20E-l

0.50E-4

O.30E-4

O.70E-4

14

0.175 0.21E-I

0.50E-4

0.30E-4

0.80E-4

15 O. 148

0.27E-)

0.61E-3

O. 25E- 3

0.56E-3

16 x)

0.348 O.35E-2

0.10E-5

O.10E-5

0.20E-5

17

0.120 0.24E-1

0.43E-3

0.I6E-3

0.42E-3

18 _x)

0.315 0.80E-3

0.52E-7

0.10E-6

19 x)

0.113 0.80E-3

0.52E-7

0.10E-6

20

0.430 0.90E-2

0.1 0.27E-4

0.29E-4

2]

0.065 0.50E-2

o

.12E-4

0.34E-5

0.1

22

0.055 0.2SE-2

0.29E-5

0.36E-6

0.40E-5

23

0.010

24

0.050

25

0.148

26 O. ]88

27

0.050

28

0.188

29

0.160

30

0.030

31

0.030

32

0.087

33

0.213

34

0.243

35

0.325 L

=

length

A

=

beam cross sectional area

IY, 1Z

=

second moment of area about Y- and Z- axis respectively

J

=

effective second polar moment of area

E

=

0.90E+ll N/m2

G

=

O.35E+ll N/m2

x) E

=

2.06E+ll N/m2

(7)

Load +lOOON at 37 and -1000N at 20 in the X-direction (model 1)

displac0,menc rotation rotation

(m) (rad) Crad)

joint in X-direction a:,out Y-axis about Z-axis

1 +.135£-4 +.507;::-4 .485£-5 2 +.135E-4 +.507E-4 -.4851'-5 3 +.120£-4 + ~ 507 E-!+ - .l.85E-S 4 +.1 +.507£-4 - .48.3E-5 5 ~. I +.507£-4 - ./,85E-5 6 +.590£-5 +. .485£-5 7 +.329E-S +.5021':-4 .[,85E-5

8 +.357E-6 +.197 E-4 .396E-S

9 0.0 0.0 0.0 10 -.242E-7 .935::-7 -.219£-11 II +.129£-15 " J99E-7 -.131 E-It, J 2 -.152E-5 .211 £-4 +. 13 0.0 0.0 0.0 14 -.435E-5 -.349E-4 + ./,23£-4 15 -.120:::-4 -.502£-4 +.720E-4 16 -.524[-5 -. 507~:-4 +.756E-4 ! 7 -.19L..E-4 +.756E-4 I -.315£-4 +.873£-4 19 .2S0E-4 .503E-4 +.790£-4 -.897£-/, -.507£-4 -.278£-4 21 +.728[-5 +.101 E-3 22 -.833E-4 -.507T::-4 +.738E-4 23 -.816E-/, + .1 ISE-l, + 53£-4 21, .83')1::-4 + .161 +.738£-4 25 .810E-4 +.728£-5 +.10IE-3 26 -.825£-4 +.IISE-4 +.953E-4

27 -.397E-4 .503E-I, +.790E-4

28 -.132[-4 -.503E-4 +.798E-4 29 -.255E-4 -.503E-4 +.7901:-4 30 -.S24E-5 -.507£-4 +. 31 -.315£--4 -.507E-4 +.756£-4 32 +.135£-4 +.507l::-L, -.485E-5 33 +.135£-4 +.507E-4 .485E-5 34 +.153E-5 +.502E-4 .485,,-5 35 -.242E-7 -.9351'-7 -.21')£-11 36 -.969£-8 .399£-7 -.13IE-14 37 +.284E-4 +.507F.-4 -.4851::-5

--

----r--_

I ~---...

---...

---....

TOL£RANT~ES VlGS N~N 2165 +010

A

b.'I, a::f: 0.1S Ii -0:15

L-L

JOO 10' ±-30"

PRorECTIE B~NAMlNG

AM

!\UWHEtDSWAAF\OEN VlGS N£N 4JQ AfDElING; W GI\OEP: WT LOAD

--.

----...

I

/

I

(

Iff

I / /

'/-I N X - 01 RECT'/-I ON (mode! 1 )

(8)

Load +j OOON nt 37 and -IOOON at 20 in the Y-dircction (model 1)

displacement displacement rotation

(m) (m) (rad)

joint in Y-d iree t ion in Z-direction nbout X-,:1xis

I +.580[-5 -.256E-S -.227E-4

2 +.580£-5 -.256E-5 .227E-4

3 +.512E-5 -.256E-5 -.227E-4

4 +.512E-3 -.256£-5 .227£-4

5 +. i 2E-5 .256E-5 .227E-4

6 + .. 242E-5 .256E-S .22110-4 7 +. H7'3t:-6 .672£-5 -.221£-4 8 +.14JE-6 -~503[.-6 -.835E-S 0.0 0.0 0.0 10 -.654£-8 +.1 +.543£-7 11 -.344E-15 +.1 +.185£-8 12 -.10'3£-5 +.1 +.1'-5E-4 13 0.0 0.0 0.0 -.291£-5 +.149E-9 +.228E-4 15 +.149E-9 +.319L:-4 I -.604E-5 +.3:: 1 E~t~ 17 .12SE-4 +.111-91:-9 +.32IE-4 18 .. 125[-4 +.514£-5 +.321£-4 19 -.180£-4 +.1491::-9 +.321 20 -.1~5E-4 +.1 +. 1 E-4

21 -.lHOE-4 +.186};-I, +.32IE-4

-.1 +.lS~JL-4 +.32IE-4 23 -.1 +.186E-4 +.32IE-4 24 .125E-4 +. ]89£-£, +.32IE-4 25 -.16!..:;:-4 +.186£-4 + .. 321E-4 26 .143£-4 +.189£-4 +.32IE-4 0 -~I -.180£-4 +.475E-5 +.321£-4 28 .180E-4 -.604£-5 +.321E-4 29 -.164£-4 +.149£-9 +.32IE-4 3D -.1 .604E-S +.321 E-4 31 +.514E-5 +.321E-4 +. .256E-5 -.227E-4 33 +.5801~-5 -.256£-5 - .227£-4 34 +.497£-6 -.256£-5 -.221E-4 35 -.654E-8 +.117E-7 +.543£-7 36 -.450£-9 +.149E-9 +.185£-8 37 +.125E-4 -.256£-5 -.227E-4 TOt.£I\ANr~ES V\.GS Nf;N 1365 +0,10

A

,_

'

b,v.8 ± 0,15 , _ 1),25 ~ _- 10'":t 3(1' PROJECTIE SENAMING

AM

RlJWHEIOSWAARC£N VLGS NEN 410 ... ANTAL

AFOHlNG: W

GRO[P: WT

~CHAAL

--

--lOAD IN y. DIRECTION (mod"l , ) MATEl't,IA.4,1.

(9)

LOJd -IOOON at 37 and +IOOON at 20 in the Z-direction (model I) displacement displacement rotat ion

(m) (m) _(rad)

joint in Y-d iree ~ ion in Z-direetion about X-axis

+.118[-5 .793[-6 -.475£-5

2 +.IISE-5 -.79JE-6 .475E-5

3 +.104£-5 .7931::-6 -.475E-5 4 +.IO!,£-5 .793E-6 -.475l::-5 5 +.10/,£-5 -.793E-6 -.475E-5 6 +.470£-6 .7781::-6 -.475£-5 7 +. I 38"-6 -.1671':-5 .475£-5 8 +.820E-8 -.2131::-6 -.'302£-5 ':I C.O 0.0 0.0 10 +.20%-14 -.IY,E-16 .131+£-13 II +.81lE-16 -.741£-16 .9991::-15 12 -.943£-6 +.750£-7 +. I/,OE-4 13 0.0 0.0 0.0 14 - .. 287£-5 +.131£-6 +.245E-4 15 -.8781::-5 +.223::-6 +.430£-4 16 -.152[-4 -.804E-5 +.44J£-4 17 -.152[-4 +.284E-6 + . 18 . !52E-4 +.737L-S +.565£-1, 19 -.229£-4 +.328E-6 +.456£-l, 20 .152E-4 +.564 £-4 -.722£-4

21 .229E-4 +.423E-4 +.957E-4

22 -.1521::-4 +.435E-4 -.6lJ7E-6

23 -.1221:-4 +. ~ 2/t [-4 +,,865E-4

-. 983i:- 5 +.435E-4 .607E-b

25 -.181 E-4 +.L.2JE-Q +.957£-4

2fj -~122E-4 +.433E-4 +.865E-4

21 -.229i;-4 +.707£-5 +.456E-4 28 -.229[-4 -.82!,E-S +.456£-4 29 -.206£-4 +.328E-6 +.456£-4 30 -.152[-4 .804£-S +.4!+3E-4 31 -.152£-4 +.737E-S +.4431'-4 32 +.118;:-5 -.793[-6 -.47512-5 33 +.118E-5 -.793£-6 .475£-5 34 +.570f:-7 -.778£-6 -.475£-5

35 +.209E-14 .288E-14 -.13I,.E-13

36 +.324[-15 -.74IE-16 .999£-15 37 +.258E-5 -.793£-6 -.475E-5

---,

TOLEAANT~ES VLGS NEN lJ6.S

\

,

\

\j

li

_i

•.•. S"O.1S

B':'::~ ~

lQO\O'"",," F'l<.OJECr-U:

AM

"ASSINGfN VLGS N 001

J_

~~WHE1PSWAAROEN VLGS NfN ,10

I~

TECHNISCHE HOGESCHOOl EINDHOVEN

AFOEUNG: W

CROeP: _WT

8ENAMING

LOAD IN Z· DIRECTION (model 1 )

AANTA'.. MATERIAAL

SCHAAL DAtUM Ti:K£NINCNP..

GET. : /);;

(ire. , - f _I

WllllG."".l

I

!

1 I

J

(10)

8

CHARACTERISTICS OF ELEMENTS ADAPTED TO MEASUREMENTS (model 2)

ELEMENT

L(m)

A(m2)

IY(m4)

IZ(m4)

J(m4)

1

O. J

95 O.lOE-l

O.48E-5

0.47E-4

0.52E-4

2

0.195 O.IOE-I

0.48E-5

0.47E-4

0.52E-4

3

0.280 0.16E-1

0.90E-5

0.10E-4

0.98E-4

4

0.280 0.16E-1

0.90E-5

0.IOE-4

0.98E-4

5

0.120 0.90E-l

0.25E-3

O.18E-3

0.40E-3

6

0.189 O.lOE-I

0.38E-4

O.35E-4

0.46E-4

7

0.136 0.12E-l

0.30E-4

0.12E-4

0.60E-4

8

0.250 0.13E-1

0.35E-4

0.15E-4

0.85E-4

9

0.180 0.17E-l

0.40E-3

O.10E-2

0.10E-3

10

0.217 0.19E-j

0.46E-4

0.45E-4

0.40E-5

11

0.622 0.23E-]

0.40E-3

0.10E-2

0.10E-3

12

0.135 O.20E-]

0.35E-3

0.25E-3

0.30E-3

13

0.100 0.20E-I

0.25E-3

0.35E-3

14

0.175 0.21E-I

0.25E-3

0.30E-3

15

0.148 0.27E-I

0.99E-3

0.35E-3

0.25E-2

16 x)

0.348 0.35E-2

0.IOE-5

0.10E-5

0.20E-5

17

0.120 0.24E-I

0.43E-3

0.28E-3

0.8SE-3

18 x)

0.315 0.80E-3

O. 0.45E-7

0.10E-6

19 x)

0.113 0.80E-3

O.45E-7

0.45E-7

0.IOE-6

20

0.430 0.90E-2

O.60E-S

0.11 E-4

0.22E-4

21

0.065 0.50E-2

o

.12E-4

0.34E-5

0.15E-4

22

0.055 O.25E-2

0.29E-5

0.36E-6

0.40E-5

23

0.010

24

0.050

25

0.148

26

0.188

27

0.050

28

0.188

29

0.160

30

0.030

31

0.030

32

0.087

33

0.090

34

0.243

35

0.325 L

=

lenght

A

=

beam cross sectional area

IY, IZ

=

second moment of area about Y- and Z- axis respectively

J

=

effective second polar moment of area

E

=

0.90E+l1 N/m2

G

=

0.3SE+II N/m2

x) E

=

2.06E+ll N,'m2

(11)

Load +IOOON at 37 and -1000); at 20 in the X-direction (model 2) joint 3 5 6 7 8 Y 10 II I 1 14 16

,

" , I 20 21 22 23 26 27 23 29 30 3 J 32 33 34 35 36 37 displacement (m) X-direction +.362E-I, +.3621:.-4 "'.3371:-4 +.337E-4 +.337E-4 +.235E-4 +.2Sl/+E-f. +.7:,8E-5 0.0 -.2',2::-7 II} ,3781'-5 -.325E-/t .4S!!l:-!, +.450f.-7 +. +.

....

+. ! 63L-I, -.2421'-7 .969E-8 +.613E-4 rotat ion (rad) about Y-axis +.853E-4 +.833E-4 +.8531::-4 +.S53E-4 +.S53E-/' +.S32E-::' +.832E-4 .... i,7 5[-4 0.0 -.935E-7 -.3:J9E-7 0.0 -.653E-5 -.687E-5 -.687E-5 -.687~-5 -.665E-5 -.687E-5 +. 68~ E-L~ -.6371:-5 +.730[-4 +.776E-4 +.688E-4 ~. 73U:c-4 -.665E-5 -.66512-5 -.665£-5 -.637[-5 -.687[-5 +.853E-4 +.8532-4 .... 832E-4 -.935[-7 -.399E-7 +.853E-4 rct.:1tiC'n (rad) about Z-axis -.624E-4 .624E-4 -~624E-4 -.624L-4 -.624E-4 -.624:'-4 .621+1::-4 .50!fE-6. 0.0 -.322E-12 +.611E-5 0.0 +.998£-5 +.179E-4 +.1 +.1871::-4 +. 111::-4 +.204E-4 • 704E-~ +.744E-4 +.472E-I+ +.68610-4 "'.472E-I, +.74t+E-cJ. +. +.204E-4 +. +.204E-4 +.1 +.187£-4 -.624E-4 5 .624E-4 .624E-4 -.32210-12 .2261::-15 -.624F.-4

+

TO\.£P.ANTtES VL,.GS NEN 2145 PROJECTf£: 8ENAMtNG

~,v,

a :±: 0,1$ 8 + _{_}0°·10 _,B~

~

300 10' ... 30" _-

AM

RUWHEIOSWAAR.DEJ14 VlG$ NEN t'tlO AANTA!..

AFOEUNG: W GROEP: WT SCHAAL LOAD IN

. /

\

-.\

'~

f

/ '

. / / ' X-DIRECTION (model 2) MATEfU"'At

Ai

(12)

Load +IOOON tit 37 tlnd -lOGON at 20 in the Y-direction (model 2)

(m) em) (rad)

joint in Y-c!ircction in Z-direction about X-axis

+.]83£-4 -.132£-4 -.738£-4 2 +.185E-4 -.132£-(+ -.738£-4 3 +. !(j 3£-4 -.132£-4 .738£-4 .~ +. 163E-!; 132[-4 -.7381-4 5 + .1 -. 132E-4 -.738:0-4 6 +.758E-5 -.132£-4 -.709E-4

7 +.2G2E-5 -.265E-~ -.709E-I,

8 +.1~26E-6 -.51.7E-5 ~432E-4

9 0.0 0.0 0.0 10 -.6541::-8 +.149E-9 +. II -.7S2E-16 +.li,YE-\l 12 .162E-6 +.149E-9 13 0.0 0.0 14 -.4b l+£-6 +.149£-9 +.:J:'IlE-5

I

5 -.1 1 £-.5 +. 11,9[-9 +.56SE-5 16 -.21 -.108£-5 +.577E-5

17 .216E-5 +.149E··9 +.577E-5

IS -.:'1 +.923E-6 +.577[-5 -.314£-5 +. I +.577E-5 20 -.407E-5 +.274E-5 +.577£-5 21 -.314[-5 +.3J3E-5 +.577:':-5 22 -.4D7E-5 +.339E-5 +.5771':-5 23 -.24RE-S +.3331'-5 +.S77E-5 21, -.216[-5 +.339[-5 +.577E-5 2~ .285E-5 T . 3310-5 +.577£-5 26 .248E-5 +.3391::-5 +.57710-5 27 -.]14£-5 +. 85!~E-6 +.577E-5 28 -.314£-5 -.108E-5 +.577E-5 29 -.285"-3 +.149['-9 +.57710-5 30 -.1]6E~5 -.108E-5 +.57710-5 31 .216E-5 +.923[-6 +.577E-5 +.185['-4 -.132£-4 -.738(:-4 33 +.185E-4 -.132£-4 -.73810-4 3/\ +.141 E-5 .1)21::-4 -.709£-4 35 -.654£-8 +.503E-8 +.54310-7 36 -.450E-9 +.1/+9£-9 +.185E-8 37 +.403£-4 -.1321\-4 -.738E-4

+

TOLER .... Nn£S VI..G$ NEN '2365 PROJECTII: BENAMING

b, •• S,.O." •

.:::~:~

L

'O"IO'± 3O"

AM

LOAD IN

y-DIRECTION (model 2)

?ASSING£N VLGS N SOl

I

RVWHElDSWAA"'OE~ VLGS NEN 6.)0 AANTAl MATERIAA!..

I

~

TECHNISCHE HOGESCHOOL EINDHOVEN S.CHAAl OA_~ 1"EJ«NINCNR.

AFDELlNG W GH.: '7'/VV

tt:.(...-l

A-4

GROEP: _WT _{cve. :}

(13)

Load -IOOON at 37 and +IOOON at 20 in the Z-direction (model

:D

(m) (m) (rad)

joint in Y-d irec t ion in Z-dircction about X-axis

I +.615E-5 -.61 1£-5 -.240E-4

2 +.615£-5 -.611£-5 -.240£-4

3 +.543[-5 -.611£-5 -.240E-4

4 +.5/+3£-5 -.611 [;-5 -.2L,0£-4

5 +.543E-5 -.611E-S -.240E-4

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