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Анализ динамики ледостойкой стационарной платформы методом конечных элементов в системе Femap-NASTRAN..pdf

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ясднярпнемхе х щйяоксюрюжхъ ткнрю
??? 629:004.4
?. ?. ???????, ?. ?. ???????
юмюкхг дхмюлхйх кеднярнийни ярюжхнмюпмни окюртнплш
лернднл йнмевмшу щкелемрнб
б яхяреле FEMAP-NASTRAN
????????
?????????????? ???????????????????? ??????????, ??????????????? ??? ????????
? ???????? ??????? ??????????????? ????? ?? ??????? ??????, ??????? ?????????? ????????
???????? ? ????????? ??????????? ???????????? ???????? (???), ? ????????? ???????
?? ???????????????.
??????????? ???, ???????????? ?? ??????????? ??????, ?????? ??????? ?? ???? ?????????????? ????????, ????? ??????????????? ?????? ? ???????? ??????? ? ???????????
?????????? ??????????. ????????? ??????????? ????????? ?????????????? ???????? ????????
? ??????? ???????????.
??? ??????? ????????????? ????????? ???, ????????, ??? ?????????????, ??????????
????????? ??????????-??????????????? ????????? (???) ????? ???????? ?????????? ? ?????.
????? ??????????? ????????????? ??????????? CAE-???????.
????????? ??????, ???????????? ?????????? ????????? ? ??????? ?????? ????? ???????? ??????????? ?????????? ??? ??????? ?? ??????????? ?????????. ??? ???? ????????? ?????? ?????? ???????? ???????? ? ??????????? ?????????????? ???????????. ?????? ? ?????
??????? ???? ???? ??????????? ?????????? ????? ????????????????? ??????? (???) ? ??????????????? ????????? ????????????.
?????????? ????????????????? ??????
??????????? ???????????? ????????? ???????????? ????? ??????? ???????????????? ??????????, ????????? ?????????? ???????? ???????? ????, ???????, ???????, ??????? ??????????,
??????? ? ?????????? ?????????.
???? ?????? ???????? ? ???????? ? ???????????? ????? ??????? ???????? ??????????????
???? ????????? ????? 1,5 ?. ??????? ????? ????????????? ?????????? ??????? ?? ???????????? ??????. ?????? ?????? ????? ???? ?????????? ? ???? ?????????? ?????????. ??????? ??????????? ??????? ???????? ?? в ?? = 15,0 в 6,0 ?. ??????? ????????? 10 ? ?? ?????? ?????????
????? ?????????????????? ??????????? ?? ??? ??????. ???????????? ????? ? ??????? ??????
????????? ??????????? ?? ??????. ????????? ????????? L в B в H = 60 в 50 в 6 ? ?????????
?? ?????? ????? ??????????? ? ????? ??????????? ???????????. ??????? ? ?????????
? ?????????????? ? ????? ????????? ??????? ????????? ?? 1,5 ?? 2,5 ?.
????????? ??? ?????? ??????????????? ???????? ???????? ??????, ? ??? ??????? ??????????? ????????? ???????????? ???????? ???? ?????????? ????????? ??????????? ? ?? ????.
?????? ????????? ??????????? ???????? ????????? ??????????? ???. ????, ??????? ? ??
??????? ??????????? ???????? ???????? ???????? ????????? (??) ???? BAR, ? ??????????
??????????? ????????, ???????? ?????????? ? ????????? ? ?????????? ?? ???? PLATE.
? ?????????? ??????? ???, ????????? ?? 8 453 ?? ? 7 458 ????? .
????? ?? ????? ??????? ???????? ????????? ???????? ????????????? ????????? ?? ???????? ? ??????????? ?????????, ??????? ?? ??? ??? ???? ???????? ???????????? ? ?? ???????
? ???????? ?????????, ??????? ???? ???? ??????????? ????????? ?????????? ???. ??????????
??????? ??????????? ????????? ????????? ???????? ?????? (????. 1) ????????? ???????? ????
?? ?????????. ???????? ????? ????? ????? ???????? ? ?????????.
??-??????, ??? ???????? ???? ?????????? ??????????? ????? ???????? ???????????????
?????? ? ?????????? ? ????????? (??????? Rigid-??), ???, ??? ??????? ?? ????. 1, ???????
? ?????????? ??????? ??????????? ????????? ??? ???? 3-? ?????? ???? ????? ??? ?? ???????.
??-??????, ???? ??????? ????????? ???????? ?????????? (??). ??? ??????? ? ?????????
?????????? ??????? ??? 2-? ? 3-? ???? ? ? ??????????????? ????????? ??????? 1-? ?????.
?-???????, ???? ?????? ????? ????? ????????? ? ?? ? ???? ?????????????? ????????,
?????? ?????????????? ??????? ?????????????? ?? ???? ?????: Rod-?? ? Bar-??.
55
ISSN 1812-9498. беярмхй юцрс. 2008. ? 5 (46)
??????? 1
??????? ??????????? ????????? ?? ?????? ????? ??? ????????? ????????? ???
(????? ???? H = 30 ?, ???????????: ??????? ??????? ??????? ????)
??????? ???????????
???
????????:
?????????, ???????,
???????, ????
???????????????????:
?????????, ??????? (???????
Rigid-??), ???????, ????
??? ? ??
??? ? ???????????????
?????????: Rod-??/Bar-??
??? ? ??????????????? ????????? ? ?????????? ?????????:
CONNECT ?? ? ?????????
???????/╚???????╩ ? ????????
? ??
?? 1-? ????? (?????????)
??????? ?????????, ??
?? 2-? ????? (?????????)
?? 3-? ????? (?????????)
0,015
(ZY)
0,018
(ZX)
0,022
(XY)
0,53
(ZY)
0,58
(ZX)
0,73
(XY)
0,57
(ZY)
0,57/ ?
(ZY)
0,86
(ZX)
1,02/ 0,85
(ZX)
1,01
(XY)
1,03/1,06
(XY)
0,533/0,571
(ZY)
0,806/0,827
(ZX)
1,164/1,115
(XY)
??????? ??? ????????? ? ??????? ???-??????? ???-?????????????? FEMAP
? ???????? MSC.NASTRAN.
? ?????? ???????? ???????? ????????? ??????? ????????? ???????? ?????? ?????????
[ K ]{?} + [C ]
?
?2
{?} + [ M ] 2 {?} + {F (t )} = 0,
?t
?t
??? [K], [C] ? [M] ? ??????? ?????????, ????????????? ? ????; {?} ? ?????? ???????????,
{F(t)} ? ?????? ??????? ???.
2. ?????????? ???????
2.1. ?????? ??????????? ??????
?????? ??????????? ?????? ???? ????????? ??? ??? ?????????? (????. 1), ??? ???????????? ????????????? ????????? ??????????? ???? ? ?????? ??????????? ????? ????? ????
??? ???????? ? ??? ????????? ???????? ? ?????????? ? ??????????. ??? ???? ??????? ?????
????? ???????? ?? ???? BAR ? ????????? ???????? 20 в 1 550 ?? ??? ?????????? ????????
? 16 в 1 550 ?? ? ??? ??????????. ?????? ??? ???????? ??? ???????? ???????? ???????????
???, ??????? ??????? ?????? ??? ??????? ????????, ?? ??????????? ????? ? ????????????
??????????? ?????????; ?? ??? ??????? ?? ???. 1.
???. 1. ????????????????? ?????? ???
56
ясднярпнемхе х щйяоксюрюжхъ ткнрю
?? ??????? ??????? ?????? ???? ?????, ??? ???????? ?? (? ?????? ?? ???????????? ??????????????? ??????? ??????? 40 в 40 ?? ? ???????? ????????????? ??????????) ?? ?????
??????????? ?????????. ?? ????????????? ??????? ? ?????????, ??? ? ???? ??????? ? ???????
????????? ????? Connection Equation.
??? ??????? ? ?????????? ????????? ??????? ??, ?? ???? ??????? ??? ??????????????
??? ?????????????, ????????? ?? ?? ??????? ????????? ? ???????? ? ??????? ??????? ??????????? ??????? ? ╚???????╩. ??? ?????? ???? ???????????? ? ????????????? ????????
??? ? ??????? Rigid-??.
?????? ???????????, ?????????????? ? ????. 1, ??????????, ??? ???????? ????????, ???
??????????????, ??? ? ?????????, ???????? ? ?????????????? ?????????? ??????? ??????????? ????????? ?? ?????? ???? ?????, ?????? ??????????? ??????? ?? 2-? ???? ???????????
(0,86/0,827), ?? 3-? ? ????????????? (1,01/1,115).
? ??????? ????????? ??????? ? ????? ??? ?? ??????? ??????????? ????????? ???
????? ?????? ?? ??????????? ? ????. 2.
??????? 2
??????????? ??????? ??????????? ????????? ??? ?? ??????? ??????????? ????
??????
???? H, ?
??????? ???????????
30
??????? ??????? ????
30
????????? ???????????
??????? ????
??????? ??????????? ???
??? ? ????????? (???????????????
? ??????????),
╚???????╩ ? ???????? ? ??
??????? ?????????, ??
0,571
(ZY)
0,284
(ZY)
0,827
(ZX)
0,445
(ZX)
1,115
(XY)
0,564
(XY)
?????? ??????? ??????? ??????? ???? ???? ?? ?? ????????? ??????????? ?????????
??????????? ??????? ??? ?? ???? ???? ?????? ?????.
2.2. ????????? ?????? ???
???????????????? ????? ??????? ???????? ??????????? ??????? ??????. ??????????
???????? ??? ???????? ??????????? ? ???? ?????????? ???????? ???????? ?? ?? ???? ???????????, ??????? ??????? ??? ????????.
????????? ??????? ? ????? ?????? ????????????? ??????????? ??? ??????????? ???
???????? ? ??????? ????????????? ??????????? ??????????? ????? ??? ?????????????
?????????? ?????? [1].
??????????? ???? F (freq) ????????????? ??????? ??? ??????????:
F(freq) = FY ? f,
??? FY = n ? LMass ? g; n = 0,1 (????????????? ????????????? ?????????? 7 ??????); g = 9,81 ?/?2;
LMass = k ? Mass, k = 1?106 ? ???????????; Mass ? ????? ???; f ? ?????????????? ???????????
???? F ?? ???????; ????? ??????? ???????? f = 1 ?? ???? ??????????? ????????? ??????.
??????? ????????????? ????? ??????? ??????????????? ??????? ???????????? ??????????????????? ? 5 % ?? ???? ????????? ??????.
?????????? ???????? ???????????? ? ??????????? ??????. ?? ?????? ???????????? ? ???????????? ??? ?????????? ???????????????? ??????? ????????, ??????? ??????????? ???????? ???????, ?? ??? ??????, ??????? ????????? ?????????????.
??????????? ? ?????????. ?????? ??????????? ????????? ??????????? ???????? ??????????? TY, ????????? AY, AZ ? ??????? ?????? ????????????? ???????????.
??? ????????? ?????????? ???????? ? ????????? ??? ?????? ??????????? ??? ?????,
??????? ??????????? ? ??????? ??????? ?????? ??????? (???? 2303 ? 3522), ??????? ???????
(???? 6038) ? ??????? ????? ???????? ????? ????????? (???? 5627).
?????????? ???????? ??????????? ? ????????? ???? ????? ??? ????????? ?????????
??? ? ????????? ??????? (? ????????? ? ??????????? ??????? ????????????? ???????????)
????????? ? ????. 3.
57
ISSN 1812-9498. беярмхй юцрс. 2008. ? 5 (46)
??????? 3
???????????, ????????? ? ???????
??????
???? ?,
?
??????
???????????
??????? ???? ????
30
??????? ???????
15
?????????
30
?????????
15
??????? ???????
?????????, ?/?2
???????????
TY, ??
AY
AZ
??????
?????????
??????
?????????
??????
?????????
24,4
0,473
36,3
0,473
91,2
0,256
35,9
0,473
15,9
0,473
12,5
0,473
59,2
0,256
12,6
0,473
0,226
0,660
0,339
0,660
1,789
0,839
0,327
0,660
0,164
0,722
0,154
0,730
0,796
0,839
0,150
0,722
0,308
0,658
0,379
0,660
2,447
0,839
0,376
0,731
0,308
0,658
0,375
0,660
2,447
0,839
0,376
0,731
?????????? ???? ??????? ????????? AZ ????? ??????? ? ????????? ??? ????? ??????
???????? ?? ???. 2.
TY(f)
0.0395
0,0395
(0.473,0.0359)
0,473; 0,0359
0.0336
0,0336
0.0277
0,0277
0.0218
0,0218
0.0159
0,0159
(0.473,0.0126)
0,473; 0,0126
0.01
0,01
0.00413
0,00413
-0.00176
?0,00176
0.383
0,383
(1.328,0.0044)
1,328; 0,0044
(1.328,0.00182)
1,328; 0,00182
0.59
0,59
0.797
0,797
1.004
1,004
1.211
1,211
1.418
1,418
Set Value
1: T2 Translation, Node 6038
2: T2 Translation, Node 2303
3: T2 Translation, Node 5627
AY(f)
0.351
0,351
0,66; 0,327
(0.66,0.327)
0.312
0,312
(0.731,0.293)
0,731; 0,297
0.273
0,273
0.234
0,234
0.195
0,195
0,717; 0,15
(0.717,0.15)
0.155
0,155
0.116
0,116
0.0771
0,0771
0.383
0,383
(0.586,0.101)
0,586; 0,101
0.59
0,59
0.797
0,797
1.004
1,004
1.211
1,211
1.418
1,418
Set Value
1: T2 Acceleration, Node 6038
2: T2 Acceleration, Node 2303
3: T2 Acceleration, Node 5627
???. 2. ??????? ??????????? TY ? ????????? AY ? ??????? ?????? ????????????? ???????????.
?????? ????? ? ???????? ??????; ?????? ? ???????? ?????????
?? ???????????, ?????????????? ? ????. 3, ???????:
1) ??? ???? ????????? ??? ??????????? ??????? ? ??????????? ???????????? ??????????? ??????, ??? ??????????? ?????????;
2) ??? ???? ????????? ??? ????????? AZ ????? ??????, ??? ????????? AY, ??????:
? ????????? AZ / AY ??? ????? ????????? ??????, ??? ??? ????? ???????;
58
ясднярпнемхе х щйяоксюрюжхъ ткнрю
? ????????? AZ / AY ??? ????? ??????? ?? ??????? ?? ??????? ??????????? ??????? ???? ????;
? ????????? AZ / AY, ? ????? ??????????? TY ????? ??????? ? ????????? ??? ???
? ??????? ???? ? = 15 ? ?????????, ?. ?. ????? ?? ??????? ?? ??????? ??????????? ??????? ???? ????;
3) ?????????????? ?????????????? ????? ??????? ? ????????? ??? ??? ? ??????? ????
? = 30 ? ? ????????? ???????????? ??????? ???? ?????? ?????? ??????????? ??????????????? ??? ???, ??????? ???? ??????? ? = 15 ? ??? ??????? ??????? ?? ??????? ????.
??????? ??????????????. ??? ???????? ???????????? ?????????? ?????? ?? ?????????
???????: ???????, ???????? ?? ? ?????????, ???????, ????. ????? ????? ? ????, ??? ??????????? ???? ???????? ????????? ??? ??????? ???????????? ??? ?????????? ??? ????????????.
???? ? ????? ?????????? ????????? ?????? ?? ??????? ?????, ? ????? ?????????? ???????? ???????????, ????????? ????????????? ? ?????????????? ????? ????????? ????????? ???????.
????? ??????? ?????????????? ??? ??? ?????????? ???????????? ??????????? ???????? ?? ???. 3. ?????????? ??????????? ????????? ???? ?????????? 0,11 ? ? ??????????? ???
f = 0,473 ??. ????? ?? ???????????? ????????????? ? ??? ??? ??????????? ?????????? ?xy
?? ??????? ???????????? ??????? ????????? ? ??. ??? ????? ?? ???. 3, ???????????? ????????
??????????? ?????????? ?? ????????? 1,86 ???.
V1
V1
L1
L2
C1
1858305.
1672474.
1486644.
Z
Z
Y
Y
X
1300813.
1114983.
929152.
743322.
557491.
371661.
,
5.03E+12(1)
Output Set: Case 1 Freq 0.47293
,
,
Deformed(0.111):
T2 Translation
Contour: Plate Top XY Shear Stress
185830.
1.86E-7
???. 3. ????????????? ??????????? ?????????? ? ??? ???,
??????????????? ???????? ??????? 0,473 ??
??????????? ???????, ? ?????????????? ??????? ?????????????? ????? ?????????? ????????, ???? ? ????? ??????????, ???? ??????????? ????????? ???? ?????????????? ?????????
???. ???, ?? ???. 4 ??????????? ?????? ??????????? ???????? ?????????? ?x ? ?y ? ??????????
???????? ?? ??????? ???????????? ???????????. ?????? ????? ?? ?????? ????????????? ????????? ???????, ?????? ? ??? ???????? ?????????? ?????? ? ????????? ? ?? ????????? ????????.
59
ISSN 1812-9498. беярмхй юцрс. 2008. ? 5 (46)
6.8851E+4
6,8851? + 4
0,691; 62652
(0.691,62652.)
5.6946E+4
5,6946? + 4
0,687; 47680
(0.687,47680.)
4.5042E+4
4,5042? + 4
(0.691,39473.)
0,691; 39473
3.3137E+4
3,3137? + 4
2,1233? + 4
2.1233E+4
0,687; 16384
(0.687,16384.)
0,473; 13834
9,3281? + 3(0.473,13834.)
9.3281E+3
0,473; 6781
(0.473,6781.)
?2,5764? + 3 (0.473,3622.)
0,473; 3622
-2.5764E+3
0.439
0.517
0,517
0,439
(0.797,13338.)
0,797; 13338
0.596
0,596
0.674
0,674
0.752
0,752
0.831
0,831
Set Value
1: Bar EndA Pt1 Bend Stress, Element 7878
2: Bar EndA Pt2 Bend Stress, Element 7878
3: Bar EndA Pt1 Bend Stress, Element 7932
4: Bar EndA Pt2 Bend Stress, Element 7932
???. 4. ??????????? ???????? ?????????? ? ?????????? ????????
?? ??????? ???????????? ???????????
???????????? ???????? ?????????? ? ?????? ??? ??? ????????? ??????????? ???
(? ????????? ??????? ????????????? ???????????) ????????? ? ????. 4.
??????? 4
???????????? ???????? ??????? ????????????? ? ????????? ??????????? ???
??????
???? ?,
?
??????
???????????
??????? ????
????
30
??????? ???????
30
?????????
15
??????? ???????
15
?????????
??????? ??????????????
?x
? ??????????
???????, ???
0,04
0,687
2,71
0,839
0,03
0,687
0,10
0,687
?y ? ??????????
???????,
???
0,06
0,691
2,07
0,839
0,08
0,691
0,12
0,687
?????? ????
?x
? ?????????????? ? ????????,
???????, ?
???
3196
0,473
56567
0,839
15176
0,888
21353
0,888
0,04
0,473
4,54
0,839
0,21
0,691
0,25
0,687
?x
? ?????,
???
?y
? ?????,
???
0,89
0,473
14,54
0,839
0,48
0,693
1,18
0,687
0,414
0,473
121,23
0,839
2,14
0,691
5,67
0,687
?????? ???????????, ?????????????? ? ????. 4, ??????????, ???:
1) ????? ??????? ???????????? ????????? ??????, ???????? ???? (? = 30 ?, ?????????
???????????);
2) ??????? ?? ?????????? ??????????? ???? ? ??????? ??????? ???????? ? ???????? ??????? ????????????? ????????? ???, ?????? ??????? ????? ???????? ???????????
? ??????????? ?????? ????;
3) ???? ?????????? ?????? ???? ? ????????? ????????? ?? ??????? ???? ????????
? ????????????? ???????? (? ???????? ?? ???????) ??????? ????????????? ????????? ???,
?? ?????????? ?????? ???? ? ??????? ???????? ??????? ???? ???????? ? ????????? ??????
???????????? ????????? (???? ? ? ??????? ???????), ? ?????? ???? ? ?????????????? ????????
????????????? ? 5 ???.
????????????? ??? ?? ??????????????? ????????? ?????? ??? ? ????????? ?? ? ?????????. ????? ??????????? ??????? ???? ??????????? ??? ???????????? ??????????? ? ???, ????? ??? ?????????? ????????????????? ??? ???????? ???????? ?? ?? ?????????? ??????????.
??????
1. ????????? ??? ??? ??? ??????? ???????????? ??????????? ? ???????? ???????
???????????.
60
ясднярпнемхе х щйяоксюрюжхъ ткнрю
2. ??????? ???????? ????????? ? CAE FEMAP-NASTRAN ????????? ????? ?????????
?????????????, ??????? ???????? ??????????? ??????????? ????????? ? ?????????? ?????????????? ??????? ??? ??? ?? ????????? ????????? ?? ?????.
3. ????? ??????? ??? ????????? ??? ??? ??????.
4. ????????? AZ ????????? ???????? ? ????????? ? 1,5?2 ???? ?????? ????????? AY
???? ?????????.
?????? ??????????
1.
MSC. NASTRAN 2004. Basic Dynamics Analylsis.
?????? ????????? ? ???????? 18.07.2008
DYNAMICS ANALYSIS
OF A SLEETPROOF STATIONARY PLATFORM
IN THE SYSTEM FEMAP-NASTRAN
BY FINITE ELEMENTS METHOD
A. I. Mishichev, A. A. Kruglov
A sleetproof stationary platform is a complex spatial construction consisting of bottom pontoons, columns, ice protection, angle braces and upper hull.
Holding piles, columns and their sections are simulated by sets of linear final elements such as BAR, and box-shaped designs of pontoons, and upper hull ?
by two-dimensional final elements such as PLATE. Elements such as RIGID
and ROD were entered at the basic stages of the improvement of the final element
model. All the constructions of models were carried out in pre-postprocessor
FEMAP, as well as the consideration of results. Calculations were carried out under the program MSC.NASTRAN. The data on frequencies of own fluctuations
of platforms in planes of bending and torsion are received. The results of the
analysis of own fluctuations of an initial variant of the model have allowed planning its completion. The frequency analysis of several variants of the final element model is executed, which has revealed features of frequency harmonic response (displacements, acceleration, force characteristics) of a sleetproof stationary platform at its various fastening into the ground.
Key words: sleetproof stationary platform, piles, final element model,
frequency harmonic response.
61
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