Het programmapakket MARC en lineair viscoelastische berekeningen

(1)

Het programmapakket MARC en lineair viscoelastische

berekeningen

Citation for published version (APA):

van Hoogstraten, P. A. A. (1986). Het programmapakket MARC en lineair viscoelastische berekeningen. (DCT rapporten; Vol. 1986.031). Technische Hogeschool Eindhoven.

Document status and date: Gepubliceerd: 01/01/1986

Document Version:

Uitgevers PDF, ook bekend als Version of Record

Please check the document version of this publication:

• A submitted manuscript is the version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.

• The final author version and the galley proof are versions of the publication after peer review.

• The final published version features the final layout of the paper including the volume, issue and page numbers.

Link to publication

General rights

Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain

• You may freely distribute the URL identifying the publication in the public portal.

If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license above, please follow below link for the End User Agreement:

www.tue.nl/taverne Take down policy

If you believe that this document breaches copyright please contact us at: openaccess@tue.nl

providing details and we will investigate your claim.

(2)

WFV 8 6 . 0 3 1

Het programmapakket MARC en lineair viscoelastische berekeningen.

P.A.A. van Hoogstraten

Deel B van het verslag van stage 4k805

juli 1986

(3)

(4)

-

0.2- i.1 t . I

1.

I 2. I 2. I 2.2 2. 2-9 3. I 3. 3.2. 3.8 '3.18

(5)

(6)

t

I

-

i I

3

3 I I

(7)

-1.3- cr

I

O o t f

(8)

(9)

- M -

(10)

(11)

(12)

-2. i-

(13)

(14)

-

2.3- (2.3.1) 2.3.2)

<

2.3.3) ( 2 . 3 9 ) (2. 3.5

1

(2. 3. 89

(15)

-2.Q-

(16)

-

2.5-

(2.3.i3>

2.3.

r6>

(2.3.17)

(17)

-2.

&-

(18)

-2.

p

r

c

(19)

(20)

(21)

(22)

(23)

-3.3- SPANNING 600 / 500 4m m. 200 ?rn 0 0 EûINDWARCDOURCNEDE 1 EGINLENGTE 1 . REKENING :@K,l=R 1. D3HULERING:WKr I=R 1

.

EEC FILE : B N , I = Y B. LEMENT :8=9,1=21 1 . HEûRETISCH:CJ=N,I=Y 8. HEORETICCH"&Nr I=Y _ - keupa

(24)

-3.q-

BEGINDWARCDOORCNEUE 1.

BEGINLENGTE I .

BEREKENING ;%K, I =R 8. FORMULERINGn'@Ki I=R 1. LEEÇ FILE :&N,l=Y 8.

ELEMENT :89,1=21 1. ?HECRETISCH:&NII=Y 8. THEMZETISCH%=N, l=Y 0, I . - D-- I I

(25)

(26)

(27)

(28)

-3.8-

k

(29)

SPANNING WAi a 20 I

I

E@ TIJD CS1 L GINDWARSDOORSNEDE 1 . ZGINLENGTE i . REKENING :%K,l=R i . RMULERING;B=K9 i=R i.

:ES FILE :%NI l = Y 0.

-ERENT :%9,1=21 0. IEORETISCH.%N, l=Y B.

keu

I TIJD E1 I 8a . _

(30)

(31)

-3. II-

t

(32)

(33)

(34)

(35)

(36)

BIJLAGEN

Bijlage A : Afleidingen op basis van de wet van Hooke Bijlage B : Afleidingen in de relaxatieformulering Bijlage C : Afleidingen in de kruipformulering

Bijlage D : Invoerfiles voor berekeningen met elementtype 21

Bijlage E : Numerieke resultaten van berekeningen met type 21 Bijlage F : Invoerfiles voor berekeningen met elementtype 9

(37)

- & i -

+ a

(38)

-&a-

(39)

-B. I-

.

t )

c

w

O P I - 5

(40)

(41)

a s

+

b

_-

_A

+

B

I

-

c5

+ A

- 5 C S

+cl

(42)

(43)

-

B. 5- i s 0 -I 0 - @i

s 2

t

(44)

(45)

%Er a.

+ s

I P _T

--

5

+ s

D 5

+

- *

c

8 . - 5

e

+ s

c

9 -

O L - . - +$

c =

(46)

-

D.1-

1,0.0,0.0,0.0, 2,1.0,0.0,0.0, 4,0.0,1.0,0.0, ó,1.0,0.0,1.0, 3,1.0,1.0,0.0, 5,0.0,0.0,1.0, 7,1.0,1~0~1.0, 8,0.0,1.0,1.0, 9,0.5,0.0,0.0, ~1,0.5,1.0,0.~~ 13,0.5,0.0,1.0, 15,0.5,1.0,1.0, l6,O.O,0.5,1.0, 17,0.0,0.0,0.5, 18,1.0,0.0,0.5, 19,1.0,1.0,0.5, 20,0.0,1.0,0.5, BOST 01,,0,1, BOUNDARY CONDITIONS 5, Q.0,0.0;0,0, 1 ,

o.o,o.o,

113, 1214,

o.o,o.o,

112, 0 . 0 , 10,1.0,0.5,0.0, 12,0.0,0.5,0.0, 14,1.0,0.5,1.0~ 1 TO 3 5,171 1, 2,3,6,7,10,14,18,19,

(47)

VISCOELASTICITY ~-l;l, E,

a"

- 1 , Y f $ r 6 ~ 1 7 ~

i'*

4 ELASTIC MODULI 0.0,2.E+5,

-

FUNCTION AMPLITUDES 0.5E+5,0.0,

-

TIME CONSTANTS 10.0, VISCO CONTROL 101 f 3 resp. -L END OPTION VISCO PERIOD CONTINUE

(48)

-

P.2-

TITLE MARC.TREKSTAAF

TITLE VISCOELASTISCHE BEREKENING TITLE - KRUIP - BEREKENING SfZING,30000, ELEMENTS,21, ALL POINTS HEREDITARY,2,1,1 END CONNECTIVITY

TITLE

-

RELAXATIE

-

FORMULERING

1,0.0,0.0,0.0, 2,1.0,0.0,0.0, 3,1.0,1.0,0.0, 4,0.0,1.0,0.0, 5,0.0,0.0,1.0, 6,1.0,0.0,1.0, 7 f 1 . 0 f 1 . 0 1 1 . 0 1 8 , O . O , I . O , l . O , 9,0.5,0.0,0.0, 10,1.0,0.5,0.0, 11,0.5,1.0,0.O, 12,0.8,0.5,0.0, 13,~.~,0.0,1.0, 14,1.0,0.511.01 1 5 , 0 . 5 , ~ . ~ , ~ . ~ , 17,0.0,0.0,0.5, 16,0.0,0.5,1.0, 19,1.0,2.0,0.5, 20,0.0,1.0,0.5, POST

o,

I I O ,

1,

TRACTIONS 011, 1,8, 1, -1 .OE3, 18,~.0,0.0,0.5,

(49)

BOUNDARY CONDITIONS 4 J o ~ o ~ o ~ o J o ~ o f 1 TO 3 1, 1,3,

o.o,o.oJ

I 2 J 4 J 0.0,O.oJ I f 2 , 5117, 0.0,

1 ,

8 16

,

20, VISCOELASTICITY l,l, ELASTIC MODULI 0.0,2.E+5 FUNCTION AMPLITUDES 0.5Et5,0.0, TIME CONSTANTS 10.0, VISCO CONTROL 101, ~ J I ~ I J ~ J I , END OFTION VISCO PERIOD CONTINUE 1.0~0.0~105.0~100~0~1,Oi

(50)

TITLE NARC.TREKSTAAF

TITLE VISCOELASTISCHE BEREKENING

TITLE - KRUIP

-

FORMULERING

TITLE

-

RELAXATIE - BEREKENING

SIZING,30000, ELEMENTS,21, ALL POINTS HEREBITARY,l

1

1 CONNECTIVITY END

’

1

forvnuleving 1,0.0,0.0,0.0, 2,1.0,0.0,0.0, 3,1.0,1.0,0.0, 4,0.0,1.0,0.0, 5,0.0,0.0,1.0, 6,1.0,0.0,1.0, 7f1.011.0,1,0, 8,0.0,1.0,1.0, 9,0.5,O.Q,Q.Q, 11,0.5,1.0,0.0, 12,0.0,0.5,0.0, 13,0.5,0.0,1.Q, 14,1.0,0.5,1.0, 15,0.5,1.0,1.0, 17,0.0,0.0,0.5, 18,1.0,0.0,0.5, 1 0 ~ 1 . O ~ Q . 5 ~ O . O ~ 16,0.0,0.5,1.0, 19,1.0,1.0,0.51 20,0.0,1.0,0.5, POST

o,

1 1 0 1 ~ 1 BOUNDARY CONDITIONS 5,

o . o ~ ^ . ~ i o . ~ ,

1 TO 3

1 ,

o.o,o.o,

1131 12,4,

o.o,o.o,

112, 0.0, 1 , 8 , l6,2O, 1 1 2,3,6,7,10,14,18,19, 51 171 0.005,

(51)

VISCOELASTICITY 1 1 1 1 ~ 1 1 1 ~ ~ 6 1 1 1 ELASTIC MODULI I.E-5,0.5E-5, FUNCTION AMPLITUDES 0.5E-5,0.0, TIME CONSTANTS 10.0, VISCO CONTROL 101, END OPTION VISCO PERIOD ~ . ~ , ~ . ~ , ~ ~ ~ . ~ I ~ ~ ~ , ~ I ~ , ~ ~ CONTINUE

(52)

-

0.4

-

TITLE PIARC.TREKSTAAF

TITLE VISCOELASTISCHE BEREKENING TITLE

-

KRUIP - FORMULERING TITLE - KRUIP

-

BEREKENING

SIZING,30000, ELEMENTS,21, ALL POINTS HEREDITARY,1,1,1 END CONNECTIVITY 1,0.0,0.0,0.0, 2,1.0,0.0,0.0, 4,0.0,1.0,0.0, 5,0.0,0.0,1.0, 6,1.0,0.0,1.0, 711.0,1.0~1.0~ 8,0.0,1.0,1.0, 9,0.5,0.0,0.0, 10,1.0,0.5,0.0, 11,0.5,1.0,0.0, 3,1.9,1.0,0.0, 12,0.0,0.5,0.0, 13,0.5,0.0,1.0, 15,0.5,1.0,1.0, 16,0.0,0.5,1.0, 17,0.0,0.0,0.5, 14,1.0,0.5,1.0, 18,1.0,0.0,0.5, 20,0.0,1.0,0.5, O,f,0,1# Oil, ? , H i 1 , 19,1.0,1.0,0.51 POST TRACT IONS -1 .OE3,

(53)

BOUNDARY CONDITIONS 4 ,

o.o,o.o,o.o,

1 TO 3 1 ,

o.o,o.o,

1 1 3 1 1 2 , 4 ,

o.o,o.o,

1121 0 . 0 , 1 , 8,16,20, VISCOELASTICITY 1 1 1 1 lilij,6ilr 5,171 ELASTIC MODULI I.E-5,0.5E-5 FUNCTION AMPLITUDES 0.5E-5,0.0, TIME CONSTANTS 10.0, VISCO CONTROL 101

,

END OPTION VISCO PERIOD 1.0,0.0,105.0,100,0,1,0, CONTINUE

(54)

- E l -

Element 21

Relaxatieformulering Respons op stap in de rek

tijd 0.00000E O0 0.50000E O1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.60OOOE 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E 02 0.99999s 02 spanning berekend 0.69231E 03 0.43638E 03 0.27506E O3 0.17338E 03 0.10929E 03 0.68886E 02 0.43422s 02 0.27369E 02 0.17252E 02 0.10874E 02 O.68537E O1 0.43200E O1 0.27228E O1 0.17160E O1 0.10814E O1 0.68140E O0 0.42926E O0 0.27033E O0 0.17015E O0 0.10701E O0 0.67203E-01 spanning theoretisch 0.69231E 03 0.43637E 03 0.27505E 03 0.17337E 03 0.10928E 03 0.68878E 02 0.43415E 02 0.27365E 02 0.17248E 02 0.10872E 02 0.68527E O1 0.43194E O1 0.272250 O1 0.17161E O1 0.10817E O1 0.68178E O0 0.42977E O0 0.27089E O0 0.17075E O0 0.10762E O0 0.67837s-O1 abs. fout (absoluut) 0.24434E-O2 0.94379E-02 0.98883E-02 0.12315E-01 0.14054E-01 0.79567E-02 0.72559E-02 0.41160E-02 0.35513E-O2 0.20835E-02 0.98697E-03 0.64439E-03 0.25311E-03 0.56983E-04 0.253516-03 0.38049E-03 0.51496E-03 0.56283E-03 0.59732E-03 0.61429E-03 0.63401E-03 rel. fout (absoluutl 0.35293E-05 0.21628E-04 0.35951E-O4 0.71032E-04 0.12861E-03 0.11552E-03 0.16713E-03 0.15041E-03 0.20589E-03 0.19164E-03 0.144036-03 0.14919E-03 0.92969E-04 0.33206E-04 0.23438s-O3 0.55809E-03 0.11982E-02 0.20777E-02 0.34983E-02 0.57077E-02 0.9346lE-02

(55)

Element 21

Relaxatieformulering

Respons op stap in de belasting

tijd rek rek abs. fout rel. fout

berekend theoretisch (absoluut) (absoluut)

0.00000E O0 0.50000E O 1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.5500ûE 02 0.60000E 02 0.6500ûE 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E O2 0.99999E 02 0.72222E-02 0.10556E-01 0.13889E-01 0.17222E-01 0.20555E-01 0.23889E-01 0.27222E-01 0.30555E-01 0.33889E-01 0.37222E-01 0.40555E-01 0.43889E-O1 0.47222E-01 0.50555E-01 0.53889E-01 0.57222E-01 0.60555E-01 0.63889E-01 0.67222E-01 0.70555E-01 0.73889E-01 0.72222E-02 0.10556E-01 0.13889E-03 0.17222E-01 0.20556E-01 0.23889E-01 0.27222E-01 0.30556E-01 0.33889E-01 0.37222E-01 0.40556E-01 0.43889E-01 0.47222E-01 0.50556E-01 0.53889E-01 0.57222E-01 0.60555E-01 0.63888E-01 0.67222E-01 0.70555E-01 0.73888E-01 0.22352E-07 0.44389E-06 0.11106E-06 0.22363E-06 0.5546OE-O6 0.11281E-06 0.22189E-06 0.55658E-06 0.11455E-06 0.22387E-06 0.55484E-06 0.11257E-06 0.21840E-06 0.55681E-06 0.11059E-06 0.22037E-06 0.12004E-06 0.78000E-06 0.44903E-06 0.11806E-06 0.78547E-06 0.30949E-05 0.42053E-04 0.79963E-05 0.12985E-04 0.26981E-04 0.47221E-05 0.81510E-05 0.18215E-04 0.33802E-05 0.60143E-05 0.13681E-04 0.25650E-05 0.46248E-05 0.11014E-04 0.20523E-05 0.38512E-05 0.19824E-05 0.12209E-04 0.66799E-05 0.16734E-05 0.10631E-04

(56)

-

E.3-

Element 2 1

Kruipformulering

Respons op stap in de rek

tijd 0.00000E O0 0.50000E O1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.60000E 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E 02 0.99999E 02 spanning berekend 0.12857E 04 0.10888E 04 0.99237E 03 0.94521E 03 0.92211E 03 0.910836 03 0.90529E 03 0.90258E 03 0.90126E 03 0.90064E 03 0.90030E 03 0.90015E 03 0.90006E 03 0.90003E 03 0.90000E 03 0.90000E 03 0.90000E 03 0.90000E 03 0,90000E 03 0.90000E 03 0.90000E 03 spanning theoretisch 0.12857E 04 0.10888E 04 0.99244E 03 0.94525E 03 0.92215E 03 0.91084E 03 0.90531E 03 0.90260E 03 0.90127E 03 0.90062E 03 0.90030E 0 3 0.90015E 03 0.96007E 03 0.90004E 03 0.90002E 03 0.90001E 03 0.90000E 03 0.90000E 03 0.9000OE 03 0.90000E 03 0.90000E 0 3 abs. fout (absoluut) 0.14281E-01 0.23074E-01 0.66766E-01 0.41679E-01 0.42568E-01 0.14641E-01 0.18842E-01 0.18962E-01 0.12268E-01 0.17182E-01 0.48538E-02 0.76188E-03 0.13012E-01 0.57416s-O2 0.17511E-01 0.85725E-02 0.41972E-02 0.20547E-02 0.10059E-02 0.49241E-03 0.24106E-03 rel. fout (absoluut) 0.11108E-04 0.21191E-04 0.67275E-04 0.44093E-04 0.46162E-04 0.16074E-04 0.20813E-04 0.21009E-04 0.13612E-04 0.19078E-04 0.53913E-05 0.84639E-06 0.14456E-04 0.63793E-05 0.19457E-04 0.95249E-05 0.46635E-05 0.22830E-05 0.11176E-05 0.54713E-06 0.26784E-O6

(57)

-E.

+-

Element 21

Respons op stap in de belasting

tijd 0.00000E O0 0.50000E O1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.60000E 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E 02 0.99999E 02 rek berekend 0.38889E-02 0.45447E-02 0.49424E-02 0.51837E-02 0.53300E-02 0.54187E-02 0.54726E-02 0.55052E-02 0.55250E-02 0.55370E-02 0.55443E-02 0.55487E-02 0.55514E-02 0.55530E-02 0.55540E-02 0.55546E-O2 0.55550E-02 0.55552E-02 0.55553E-O2 0.55554E-02 0,555546-02 rek theoretisch 0.38889E-02 0.45447E-02 0.49424E-02 0.51837E-02 0.53300E-02 0.54187E-02 0.54726E-02 0.55052E-02 0.55250E-02 0.55379E-02 0.55443E-02 0.55487E-02 0.55514E-02 0.55530E-02 0.55540E-02 0.55546E-O2 0.55550E-02 0.55552E-02 0.55553E-02 0.55554E-02 0.55555E-02 abs. fout (absoluut) 0.11171E-07 0.28409E-07 0.22789E-07 0.27619E-O7 0.34418E-08 0.46842E-07 0.23571E-07 0.26754E-07 0.28819E-07 0.40713E-07 0.25139s-O7 0.44491E-07 0.24318s-O7 0.49824E-07 0.35508E-O7 0.33731E-07 0.40912E-08 0.156876-07 0.49479E-07 0.30766E-07 0.79857E-07 r e l . fout (absoluut) 0.28726E-05 0.62510E-05 0.46109E-05 0.53282E-O5 0.64574E-06 0.86445E-05 0.43071E-05 0.48598E-O5 0.52161E-05 0.73529E-O5 0.45341E-05 0.79642E-05 0.43806E-05 0.89724E-05 0.63932s-O5 0.60726E-05 0.73648E-06 0.28238E-05 0.89066E-05 0.55379E-O5 0.14374E-04

(58)

-E

i-

TITLE ELEMENT 9

TJTLE VI SCOELASTI SCHE BEREKENING

TITLE - RELAXATIE

-

FORMULERING

TTTLE - RELAXATIE

-

BEREKENING

SIZING,10000, ALL POINTS HEREDITARY,2,1,1 END CONNECTIVITY EJXMENTS 9 1,0.0,0.0,0.0, 2,1.0,0.0,0.0, GEOMETRY 1 , 1

.o,

1 POST o,,io,1, BOUNDARY CONDITIONS 21

o.o,o.oio.o,

1 TO 3 1 1 0.005,0.0,0.0, 1 TO 3 2, VISCOELASTTCITY 1 1 1 , ~ 1 ~ 1 ~ 1 ~ 1 1 , ELASTIC MODULI 2.Et5, O . 5Et5

,

TIME CONSTANTS 10:O; VISCO CONTROL 101 f FUNCTION AMPLITUDES

-

Eo

-

E, - z

(59)

‘E2-

TITLE ELEMENT 9

TITLE VISCOELASTISCHE BEREKENING

TITLE - RELAXATIE

-

FORMULERING

TITLE - KRUIP - BEREKENING

SIZING,10000, ALL POINTS HEREDITARY,2,1,1 END CONNECTIVITY ELEMENTSrS, 1,0.0,0.0,0.0, 2,1.0,0-0,0.0, GEOMETRY 1 , 1

.o,

1 POST 0, r fot’lr POINT LOAD 1 , 1 000, 2, BOUNDARY CONDITIONS 2,

o.o,o.o,o.o,

1 TO 3 1, O.O,O.O, 2r3, 2, 1 1 1 , l r l r l i l r l r VïSCOELASTICITY ELASTIC MODULI 2,E+5, FUNCTION AMPLITUDES TIME CONSTANTS 10.0, VISCO CONTROL 101

,

O . 5E+5 f

(60)

TITLE MARC.TREKSTAAF

TITLE ELEMENT 9

TITLE VISCOELASTTSCHE BEREKENING

TITLE - KRUIP - FORMULERING

SIZINGrlOOOO, ELEMENTSIS, ALL POINTS END

CONNECTIVITY

TITLE - RELAXATIE - BEREKENING

HEREDITARYrlrlrI 1r9r 112, COORDINATES 1,0.0,0.0,0.0, 2,1.0,0.0,0.0, GEOMETRY Ir 1

.o,

1 POST Or I r o r l i BOUNDARY CONDITIONS 2,

o.o,o.o,o.o,

1 TO 3 1, 0.005,0.0,0.0,

1

TO 3 2, VISCOELASTICITY 1 1 1 , l f l t 1 , l r l t ELASTIC MODULI 1 .E-5, FUNCTION AMPLITUDES 0.5E-5, TINE CONSTANTS 10.0$ VISCO CONTROL 101 r END OPTION VISCO PERIOD ~ . ~ i ~ . ~ , ~ ~ ~ . ~ , ~ ~ ~ , ~ , ~ , ~ f CONTINUE

(61)

TITLE MARC.TREKSTAAF

TITLE ELEMENT 9

T I TLE VISCOELASTISCHE BEREKENING

TITLE

-

KRUIP

-

FORMULERING

TITLE - KRUIP

-

REREKENING

SIZING,10000, ELEMENTS

,

9

,

ALL POINTS HEREDITARY,l,l,l END CONNECTIVITY 1,0.0,0.0,0.0, 2,1.0,0.0,0.0, 1 , 1

.o,

1 POST Or,iOr1, POINT LOAD 1 , 1 000, 2 , 2,

o.o,o.o,o.o,

1 , O . O j O . 0 , 2 , VISCOELASTICITY 1 8 1 , l r l r l r 1 i l r ELASTIC MODULI I *E+; FUNCTION AMPLITUDES O. 5E-5 i TIME CONSTANTS 10.0, VISCO CONTROL 101 f GEOMETRY BOUNDARY CONDITIONS 1 TO 3 2,3, END OPTION VISCO PERIOD CONTINUE 1.0,0.0,105.0,100,0,1,0,

(62)

Element 9

Relaxatieformulering Respons op stap in de rek

tijd spanning berekend spanning theoretisch a b . fout (absoluut) rel. fout (absoluut) 0.00000E O0 0.50000E O1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E O2 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.6OOOOE 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E 02 0.93999E 02 0.12500E 04 0.11516E 04 0.10920E 04 0.10558E 04 0.10338E 04 0.10205E 04 0.10124E 04 0.10075E 04 0.10046E 04 0.10028E 04 0.10017E 04 0.10010E 04 0.10006E O4 0.10004E 04 0.10002E 04 0.10001E 04 0.1000lE 04 0.10000E 04 0.1000CE 04 0.10000E 04 0.10000E 04 0.12500E 04 0.11516E 04 0.1092OE 04 0.10558E 04 0.10338E 04 0.10205E 04 0.10124E 04 0.10075E 04 0.10046E 04 0.10028E 04 0.10017E 04 0.10010E 04 0.10006E 04 0.10004E O4 0,10002E 04 0.10001E 04 0.1000lE 04 0.10001E 04 0.10000E 04 0.lOOOOE O4 0.10000E 04 0.28644E-04 0.32504E-01 0.30206E-O1 0.17571E-01 0.33721E-01 0.21212E-01 0.46705E-01 0.49313E-01 0.21096E-01 9.22827E-01 0.15489E-01 0.21669E-01 0.19689E-01 0.24188E-01 0.27997E-01 0.38273E-01 0.16124E-09 0.50850E-01 0.30833E-01 0.18692E-01 0.11329E-01 0.22915E-O7 0.28225E-04 0.27662E-04 0.16642E-04 0.32617E-04 0.20785E-04 0.46130E-04 0.48948E-04 0.21000E-04 0.22764E-04 0.15453E-O4 0.21647E-04 0.19676E-04 0.24179E-04 0.27990E-04 0.38268E-04 0.16123E-04 0.50847E-04 0.30832E-04 0.18692E-04 0.11329E-04

(63)

Element 9

Relaxatieformulering

Respons op stap in de belasting

tijd ~~ 0.00000E O0 0.50000E Of 0.10000E 02 0.1500CE 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.5500CE 02 0.60000E 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999s 02 0.99999E 02 rek berekend 0.40000E-02 0.43296E-O2 0.45506E-02 0.46988E-O2 0.47981E-02 0.48646E-O2 0.49092E-02 0.49392E-02 0.49592E-02 0.49727E-02 0.49817E-02 0.49877E-02 0.49918E-02 0.49945E-02 0.49963E-02 0.49975E-02 0.49983E-02 0.49989E-02 0.49992E-02 0.49995s-O2 0.49996E-02 rek theor etis ch 0.40000E-02 0.43417E-O2 0.45789E-02 0.47358E-O2 0.48364E-02 0.48995E-02 0.49385E-02 0.49625E-02 0.49772E-02 0.49862E-O2 0.49916E-02 0.49949E-02 0.49969E-02 0.49981E-02 0.49989E-02 0.49993E-02 0.49996E-02 0.49997E-02 0.49998E-02 0.49999s-O2 0.49999E-02 abs. fout (absoluut) 0.77489E-09 0.12062E-04 0.28281E-04 0.37024E-04 0.38267E-04 0.34858E-O4 0.29332s-O4 0.23336E-04 0.18011E-04 0.13452E-04 0.98920E-O5 0.71975E-05 0.51047E-05 0.36214E-05 0.25607E-05 0.18093E-05 0.12811E-O5 0.84611E-06 0.64622E-06 0.40726E-06 0.343406-06 rel. fout (absoluut) 0.19372E-06 0.27783E-02 0.61765E-02 0.78179E-02 0.79124E-02 0.71147E-02 0.59394E-02 0.47025E-02 0.36187E-02 0.26980E-02 0.19817E-02 0.14410E-02 0.10216E-02 0.72455E-03 0.51225E-03 0.36190E-03 0.25623E-03 0.16923E-03 0.12925E-03 0.81454E-04 0.68681E-04

(64)

Element 9

Respons op stap in de rek

tijd 0.00000E O0 0.50000E O1 0.10000E 02 0.15000E 02 0.20000E 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.6OOOOE 02 0.65000E 02 0.70000E 02 0.75000E 02 0.79999E 02 0.849S9E 02 0.89999E 02 0.94999E 02 0.99999E 02 spanning berekend 0.50000E 03 0.41202E 03 0.3704SE 03 0.35087E 03 0.34162E 03 0.33724E 03 0.33518E 03 0.33420E 03 0.33374E 03 0.33353E 03 0.33342E 03 0.33338E 03 0.33335s 03 0.33334s 03 0.33334E 03 0.33333E O3 0.33333E 03 0.33333E 03 0.33333E 03 0.33333E 03 0.33333E 03 spanning theoretisch 0.50000E 03 0.41780E 03 0.37992E 03 0.36012E 03 0.34908E O3 0.34271E 03 0.33896s 03 0.33672E 03 0.33538E 03 0.33457E 03 0.33408E 03 O. 33379E ô3 0.33361E 03 0.33350E 03 0.33343E 03 0.33339s 03 0.33337E 03 0.33336E 03 0.33335E 03 0.33334E 03 0.33334E 03 abs. fout (absoluut) 0.89407E-04 0.57835E O1 0.94317E O 1 0.92477E O1 0.74610E 01 0.54705E O1 0.37786E O1 0.25227E O 1 0.16409E O1 0.10422E O1 0.66369E O0 0.40801E O0 0.25898E O0 0.16041E O0 0.94636s-O1 0.64770E-01 0.40591E-01 0.25915E-01 0.17021E-01 0.11604E-01 0.83296E-02 rel. fout (absoluut

1

0.17881E-06 0.13843E-01 0.24826E-01 0.25680E-01 0.21373E-01 0.15962E-01 0.11148E-01 0.749185-02 0.4892SE-02 0.31151E-02 0.19866E-02 0.12224E-02 0.77630E-03 0.48100E-03 0.28382E-03 0.19427E-03 0.12176E-03 0.77739E-04 0.51061E-04 0.34811s-O4 0.24989E-O4

(65)

-

j . Y - Element 9 Kr u

B

p f o r mu 1 er in g Respons op s t a p in de belasting t i j d 0.00000E O0 0.50000E Of 0.10000E 02 0.15000E 02 0.2000OE 02 0.25000E 02 0.30000E 02 0.35000E 02 0.40000E 02 0.45000E 02 0.50000E 02 0.55000E 02 0.60000E 02 0.6500CtE 02 0.70000E 02 0.75000E 02 0.79999E 02 0.84999E 02 0.89999E 02 0.94999E 02 0.99999E 02 rek berekend 0.10000E-01 0.11967E-01 0.13161E-GI 0.13884E-01 0.14323E-01 0.14590E-01 0.14751E-01 0.14849s-O1 0.14908E-01 0.14944s-O1 0.149666-O1 0.149SOE-O1 0.14988E-O1 0.14992E-01 0.14995E-01 0.14997E-01 0.14998E-01 0.14999E-01 0.14999s-O1 0.15000E-01 0.15000E-01 rek the or et i s ch 0.10000E-01 0.11967E-01 0.13161E-01 0.13884E-01 0.34323E-01 0.14590E-01 0.14751E-O1 0.14849s-O1 0.14908E-01 0.14944E-01 0.14966E-01 0.14980E-01 0.14988E-01 0.14992E-01 0.14995E-01 0.14997E-01 0.14998E-01 0.14999E-01 0.14999E-01 0.15000E-01 0.15000E-01 abs. fout (absoluut) 0.15021E-10 0.34752s-O6 0.39657E-06 0.34913E-06 0.32391E-O6 0.42580E-06 0.64264E-07 0.13150E-07 0.42075E-06 0.45457E-06 0.31006E-06 0.43372E-06 0.39368E-06 0.48191E-06 0.44082E-06 0.23433E-06 0.322036-06 0.18176E-07 0.38226E-06 0.37527E-O6 0.22SOOE-06 rel. fout (absoluut) 0.15021E-08 0.29039E-04 0.30133E-04 0.25146E-04 0.22614E-04 0.29185E-04 0.43565E-05 0.88560E-06 0.28222E-04 0.30418E-04 0.20717E-04 0.28954E-04 0.26267s-O4 0.32143E-04 0.29397E-O4 0.15625E-04 0.21471E-04 0.12118E-05 0.25478E-04 0.25019E-04 0.15200E-04