NAS101 - Section 1

1
?????? 5

• ??????????? ??????

2
??????? ?????

• ???????? ?????? ????????????? ? ?????????
• ????????? ?????????????? ???????? ? MSC NASTRAN
• ???????????????? ??????
• ???????? ???? ????????
• ???????? ?????????????
• ??????? (RIGID) ???????? ? ????????? ???????,
  ?????????? ?????????? (MPC)
• ?????????

3

• ???????? ?????? ????????????? ? ?????????

4
????????????? ? ?????????

• ????????????? ??????????????? ???????????
  ????????? ??? ????????????? ??????????
  ??????????? ?? ?????-???? ??????? ???????.
• ??????? ????????? ?? ????? ???? ????????, ????
  ??? ??????????
• ????????? ??????? ?????????????
• ??????????? ???????? ?????? ??? ???????? ????
• ?????????? ????????? ? ????????? ?????? ????????
  ???????
• ???????????? ???????????? ????? ???????? ???????

5
????????????? ? ????????? (???????????)

• ???????? ?????? ??? ???????? ????
• ????????? ??????? ?????? ???? ?????? ?????
  ???????, ????? ??? 6 ???? ???????? "????????
  ????" ???? ?????????????.
• ???????? ???????? ???? ??????????
  ???????????

6
????????????? ? ????????? (???????????)

• ???????? ?????? ??? ???????? ????
• ????? ???????????????? ?????? ?? ?????? ?????
  (????????? Equivalence ? MSC Patran ??? ??????
  ? ????? ?????? ?????????????).
• ? ???? ?????? ????? ?? ??????? ????? ?????
  ????????? ?????????????

7

• ????????? ?????????????? ???????? ? MSC Nastran

8
AUTOSPC

• ???? ?????????? ????????? ?????????????, MSC
  Nastran ???????? ????????? ?? ?????????????
• ?????? ?????? Bulk Data
• PARAM,AUTOSPC,YES
• ??? ? ?????? Case Control
• AUTOSPC Yes
• (????????? ????????? ?? ?????????????
  ??????????????? ?????????? SPCs ? ????
  ??????????????)
• PARAM,AUTOSPC,YES ??????????? ?? ????????? ???
  ??????????? ????? ???????.

9
??? ???????? AUTOSPC
???????????? ????????? ???? 99
T1
T2
T3
R1
R2
R3
10
??? ???????? AUTOSPC (???????????)
???????????? ????????? ???? 99

• ???????? ?????????? ??????? ????????? ?????????

T1
T2
T3
R1
R2
R3
HEXA Element
11
???????? ? AUTOSPC

• ??? ?????????? ??????? ????????? ????????? Solid
  ????????

Solid
Bar
T1
T2
T3
R1
R2
R3
T1
T2
T3
R1
R2
R3
Bar ???????
GRID 99
HEXA ???????
12
???????? ? AUTOSPC (???????????)

• 
  

??????????????? ?????????? ?????????

• ??? ?????????? ??????? ????????? ????????? Solid
  ????????

T1
T2
T3
R1
R2
R3
Bar ???????
GRID 99
HEXA ???????
13
???????? ? AUTOSPC (???????????)

• 
  

• 3 ????????? !!!

Bar ???????
GRID 99
HEXA ???????
14
???????? ? AUTOSPC (???????????)

• 
  

• ???????? ???????
• ?????? SPC ???????
• ?????? MPCs (????? ??????????? ????)
• ????????? ??????? ????? (????? ??????????? ????)

Bar ???????
GRID 99
HEXA ???????
15
?????????? AUTOSPC (???????????)

• ??? ???????? USET?
• ?????????? ??? ??????? ??????? ????? ? ?????????
  ????? ? ????????????????? ?????? ??? ????? ??????
  ?????? ??????????? (displacement set). ????
  ?????????? ????? (Global set) ?????????? g-set ?
  ??????????????? ????? ??????????? ???????? ???
  Ug.
• Kgg ?????? ???? ?????????????, ????? ?????????
  ????? ???? ??????. ????? ??????? ??????????
  ????????????? ???????, ???????????? ??????
  ?????????? ??????????? ????????? (subsets) ??????
  ug, ?? ??????? ?? ????? ???????? ? ????????
  ?????????? ???????
• ????????
• um ??????? ???????, ??????????? ??????????
  ????????? MPC
• us ??????? ???????, ??????????? ??????????
  ????????? SPC
• ?????????? ? ? S ??????? (sets) ???? ????? F
  (free - ?????????), ??????? ?????? ? ????????,
  ????? ???????? ??????????? ???????????.
• ??? ????? ????????? ?????????? ? ???????
  ??????????? ?????? ?????????? B MSC Nastran
  Quick Reference Guide ? MSC NASTRAN Linear
  Static Analysis Users Guide.

16
AUTOSPC

• ???????? AUTOSPC
• ??? "????????????????" ??????? ???????
  ?????????? ? ??????? ?????????????? ?????
• ??????? ????? ???? ????? ??????? ?, ??? ?????,
  ?????? ? ???? ???????? ????????
• ????? ??????????? "????????????????" ???????
  ??????? ? .pch ????
• PARAM,SPCGEN,1
• ???
• ???????? ????? PUNCH ? ??????? AUTOSPC ??????
  Case Control
• ? ????? ???????????? ???????????? ? ??????
  ??????????????? ?????? SPC1

17
???????? ? AUTOSPC (???????????)

• ???????? ???????
• PARAM,K6ROT, 100
• ??? ????? ????????????? ???????? ?? ?????????
• PARAM,SNORM, 20
• ????????????? ????????

2 ????
??? ??????? ? ???????? ???? ???????????
18
????????? ?? ????????? ??? SNORM ? K6ROT ? V2001

• ??????????? ??????? ???????????? ????? ???????
  ????????
• PARAM, SNORM, 20. ????? ?? ????????? ? V2001
• PARAM, K6ROT, 0. ????? ?? ????????? ??? ????
  ???????? ??????????????????? ??????? ?
  V2001
• ????????? ?????? ???????? ?????, ??? ???
  ???????????? ??????? ??????? ? ????????? ????????
  ?????????? ?????????? PARAM, AUTOSPC, YES
• PARAM, K6ROT, 100. ????? ?? ????????? ???
  ?????????? ??????????????????? ???????

19
????????? ?? ????????? ??? SNORM ? K6ROT ? V2001
(???????????)

• ??????????, ??????? ?? ????????? ? V2001 ?????
  ??????? ????????, ???? ???? ?????????? ??
  ???????????? ? ????????? ???????? ??????? ???????

20
?????? ?? ????????????? K6ROT ??????

• ?????????? ?????????? ???????????? ? ?????????
  ???????? ??????? ??????? ???????? ????????
  ????????????? ?????????????

SNORM K6ROT ?????? ??????? ??? ?????? ????????? ???? ???????????
0. 0. 6 1.2842e6 ?? ????????? V70.7, ??? ?????? ???, ??????? ?????? ????
20. 0. 7 2.4671e6 ?? ????????? ? V2001, ?????? ????, ?????? ?????? ????
20. 100. 6 1.2745e6 ?? ????????? ? v2004, ??? ?????? ???, ??????? ?????? ????
21
?????? ?? ????????????? K6ROT ?????? ?????? ?
?????????

• ? ????????? ??????? ????????? ????????????
  ?????????? ???????????? ? ????????? ????????
  ??????? ???????, ????????, ? ???????????
  ????????, ??????????????? ? ??????? ????? ?
  ????????

• ?????? ????????????? ? ??????? CQUAD4
• ???????? ????????????? ? ??????? CBAR ? ????????
• ?????? ??????? I2 ?? ????? ? PBAR
• ??????????? ??????? ? ??????? ??????? ???????????

22
?????? ?? ????????????? K6ROT ?????? ?????? ?
????????? (???????????)
K6ROT SNORM ??????? ??????? ???????????
0. 20. 1 ???? ???????? ???? ??? ?????? ??? AUTOSPC ??????????? ????????????? 2-?? ???? 9.667
0. 20. 1 ???? ???????? ???? 5 ?????? ??? 7-?? ???? 9.734
100. 20. 1 ???? ???????? ???? ??? ?????? ??? 2-?? ???? 9.655

• ? PARAM, K6ROT, 100. ?????? ?????????? 6 ???
  ???????? ???? ??? ????????? ??????. ?????
  ?????????? ?????? ???? ???? ???????? ???? ??-??
  ??????? ?????????

23
?????? K6ROT 100 ???????? ??????? ??????????

• ? ?????? ???????? K6ROT ???????? ????? ???????
  ?????? ????????? ?????????

24
?????? K6ROT 100 ???????? ??????? ??????????
(???????????)
25
?????? K6ROT 100 ???????? ??????? ??????????
(???????????)
26
K6ROT ? ? ??? SNORM

• ??? SNORM ????? ?????????? ? ?????????? ?????.
• ? SNORM ????? ???????? ? ?????????? ?????.

27
K6ROT ? ? ??? SNORM

• SNORM ????????? ??????????? K6ROT ? ????????????
  ?????????

?????? ?? K6ROT ?? ??????? ?????
????????????? ??????????? ?? ??????
??? SNORM
? SNORM
28
????? ????????? ?? ????????? ??? K6ROT

• ?????????? ???? ??????????, ??? K6ROT100
  ???????? ????????? ???????.
• ??????????? ????? ????????????, ??? K6ROT100 ??
  ?????? ?? ?????????
• ??? ????????????? ??????????? ???????? (PARAM,
  SNORM, 20.) ???????? ????????? ????????? ?????
  ??????????
• ????? ??????????? ??????? ????????? (PARAM,
  SNORM, 0.), K6ROT ??????????? ?????? ?? ?????????
  ? ??????? ? ????????????? ??????????.

29
????? ????????? ?? ????????? ??? K6ROT
(???????????)

• K6ROT100. ?????? ?????? ?? ????????? ???
  ?????????? ??????? SOL 106 ? 129
• K6ROT100. ????????????? ???????? ?????????,
  ????????????? ??????? ??????????????????
  ???????????
• ???? ????????? ????????????? ???????? v2001
  K6ROT0. , ??
• ?????????? ?????????? ???????? ????????? ??
  ????????? ? RC ?????
• ?? ????????? ??? ???? ??????????????????? ???????
  ? v2004
• SNORM20.
• K6ROT100.

30
????????? ?? ?????? ????? ???????? ?? ?????????
??? K6ROT

• ??? ??????-??????????? ?????
• ??? ??????-??????????? ????? (?????? ????????),
• ?????? ?????????? 6-?? ??????? ???????
• SPC 3456, ???? ?????????? ????????? ? ?????????
  x-y
• ???????? ?? ?????????, ???? K6ROT0.
• ??????????? ???????????, ???? 6-? ??????? ???????
  ???????????? ? K6ROT100.
• ?? ???????????? 6 ??????? ???????, ???? K6ROT
  100, ??? ??????????????? K6ROT0 ???
  ??????-??????????? ?????
• ? ????????? ??????? ??-?? ?????????? ???????
  ?????? ??????? ????? ?????? ??????? ??????
  ???????
• ??????? ? MSC Nastran 2005 r2, ???? PARAM, K6ROT
  ?????? ????, ?? ??? ???????? ????? ????????????
  ?????? ??? ?????????, ??????? ????? ???
  ??????????, ??? ? ???????? ?????????.
• ????????? ?? ???????????? ??????? ??????? ??
  K6ROT ????????? ? ?????????? ?????????
• ??? ?????? ???????? ??????????????? ?? 6? ???????
  ???????.

31
?????? AUTOSPC

• ????????? ??????? ????? MSC NASTRAN
• Section5_1.bdf ??????? solid ?????????
• ??????? ??????? ?????????????? ?????
• ????????? ??????? ????? MSC NASTRAN
• Section5_3.bdf solid/plate ??????????
• ??????? ??????? ?????????????? ????? ? ?????????
  ??????? ????????? ??????

32
AUTOSPC ?????? (???????????)

• section5_1.bdf

33
?????? AUTOSPC (???????????)

• section5_1.bdf
• G R I D P O I N T S I N G U L A R I T Y T
  A B L E
• 0 POINT TYPE
  FAILED STIFFNESS OLD USET
  NEW USET
• ID
  DIRECTION RATIO EXCLUSIVE UNION
  EXCLUSIVE UNION
• 1 G 4
  0.00E00 BF F SB
  S
• 1 G 5
  0.00E00 BF F SB
  S
• 1 G 6
  0.00E00 BF F SB
  S
• 2 G 4
  0.00E00 BF F SB
  S
• 2 G 5
  0.00E00 BF F SB
  S
• 2 G 6
  0.00E00 BF F SB
  S
• 3 G 4
  0.00E00 BF F SB
  S
• 3 G 5
  0.00E00 BF F SB
  S
• 3 G 6
  0.00E00 BF F SB
  S

GRID 1
34
AUTOSPC ?????? (???????????)

• section5_3.bdf

CQUAD4s
HEXAs
35
AUTOSPC ?????? (???????????)

• section5_3.bdf

1 G 6
0.00E00 BF F SB
S 2
G 6 0.00E00 BF F
SB S
3 G 6 0.00E00
BF F SB S
4 G 6
0.00E00 BF F SB S

GRID 13
??? ?????????? ??????!
62 G 4
0.00E00 BF F SB
S 62
G 5 0.00E00 BF F
SB S
62 G 6 0.00E00
BF F SB S
63 G 4
0.00E00 BF F SB S
63 G
5 0.00E00 BF F
SB S 63
G 6 0.00E00 BF
F SB S
64 G 4 0.00E00
BF F SB S
64 G 5
0.00E00 BF F SB S
64 G
6 0.00E00 BF F
SB S
36
AUTOSPC ?????? (???????????)

• section5_3.bdf
• THE FOLLOWING DEGREES OF FREEDOM HAVE FACTOR
  DIAGONAL RATIOS GREATER THAN
• 1.00000E07 OR HAVE NEGATIVE TERMS ON THE
  FACTOR DIAGONAL.
• 0
  
  SUBCASE 1
• 0
  
  
• GRID POINT ID DEGREE OF FREEDOM
  MATRIX/FACTOR DIAGONAL RATIO MATRIX
  DIAGONAL
• 13
  R2
  1.71146E13
  2.13419E02
• USER FATAL MESSAGE 9050 (SEKRRS)
• RUN TERMINATED DUE TO EXCESSIVE PIVOT RATIOS
  IN MATRIX KLL.
• USER ACTION CONSTRAIN MECHANISMS WITH SPCI
  OR SUPORTI ENTRIES OR SPECIFY PARAM,BAILOUT,-1 TO
  CONTINUE THE RUN WITH MECHANISMS.

37

• ???????????????? ??????

38
??????? ??????

• ?? ??????????? ???????
• Section5_3.bdf
• ?????????? ???????? ??????? ? ????????? ???????
  ??-?? ??????? ??????????
• ? ?????? ??????? ????????, ??? ?????????? ???
  ??????

39
??????? ?????? (???????????)

• ?? ????? section5_3.f06
• ??? ????? ???????????????? FATAL ERROR (?????????
  ??????)
• ????????? ????? ????????? ??????
• ?????????? ?? ????????
• THE FOLLOWING DEGREES OF FREEDOM HAVE FACTOR
  DIAGONAL RATIOS GREATER THAN
• 1.00000E07 OR HAVE NEGATIVE TERMS ON THE
  FACTOR DIAGONAL.
• 0
  
  SUBCASE 1
• 0
  
  
• GRID POINT ID DEGREE OF FREEDOM
  MATRIX/FACTOR DIAGONAL RATIO MATRIX
• 
  
  
• 13
  R2
  1.71146E13
  2.13419E02
• USER FATAL MESSAGE 9050 (SEKRRS)
• RUN TERMINATED DUE TO EXCESSIVE PIVOT RATIOS
  IN MATRIX KLL.
• USER ACTION CONSTRAIN MECHANISMS WITH SPCI
  OR SUPORTI ENTRIES OR SPECIFY PARAM,BAILOUT,-1 TO
  CONTINUE THE RUN WITH MECHANISMS.

40
??????? ?????? (???????????)

• ?? ????? section5_3.f06
• ?????????? ???????? ?? ????????????? ??? ????????
• ??????????? ????? GRID 13, ? DOF R2
• ???? ?? ???-?????? ????????? ? ???? ??????
• THE FOLLOWING DEGREES OF FREEDOM HAVE FACTOR
  DIAGONAL RATIOS GREATER THAN
• 1.00000E07 OR HAVE NEGATIVE TERMS ON THE
  FACTOR DIAGONAL.
• 0
  
  SUBCASE 1
• 0
  
  
• GRID POINT ID DEGREE OF FREEDOM
  MATRIX/FACTOR DIAGONAL RATIO MATRIX
  DIAGONAL
• 
  
  
• 13
  R2
  1.71146E13
  2.13419E02
• USER FATAL MESSAGE 9050 (SEKRRS)
• RUN TERMINATED DUE TO EXCESSIVE PIVOT RATIOS
  IN MATRIX KLL.
• USER ACTION CONSTRAIN MECHANISMS WITH SPCI
  OR SUPORTI ENTRIES OR SPECIFY PARAM,BAILOUT,-1 TO
  CONTINUE THE RUN WITH MECHANISMS.

41
??????? ?????? (???????????)

• ????????? SPC ??? SPC1 ??????,
• ????????? ??????? ????? MSC NASTRAN
• Section5_3.bdf (????????? GRIDS 1 5 9 13
  ????????? ??????????)
• ??????? ?????????? ? ??????????? ?????????

42
??????? ?????? (???????????)

• ?????????? ? Section5_3.bdf
• ??????? ?????????? ? ??????????? ?????????

???????????? DOF 4,5,6
???????? ???????, ?? ?????? ?????????!
43
??????? ?????? (???????????)

• ?????????? ? Section5_3.bdf
• ??????? ?????????? ? ??????????? ?????????

??????????? ????? ?? Solid ????????? ?????? ??
????? ????????? ???????? ?????? ??????????????
???????? ?? ???????????? ??????? ??????? ????
??????????
44
??????? ?????? (???????????)

• ?? ??? ??? ?? ????????????? ??? ??????? ?
  ?????????? ????????, ?????????? ????????
  ??????????
• ????????? ? ????????? ?????? Fatal Message 9050
• ?? ???????? ?????????? ??????? ??????????
  ???????? (??? ?????????????? ??? ? ????? ??????),
  ??????? MSC Nastran ????? ????????? ???
  ?????????? ?????? ????? ??????? ???????, ? ?????
  ? ???? ??? ??????????.
• ????? ??? ????????? ? ????????? ?????? ?????
  ????????. ???????? ?????????? - ??? ?????
  ????????? ? ??????? ????????.
• ????? ???????? ? ????????? ????????? ?????? ?????
  ?????? ?? Reference Guide ??? ?? On Line
  Encyclopedia

45
??????? ?????? (???????????)

• ????????? Section5_5.bdf
• ????????? ????????? ? ???????????? ???????????
  ???????

46
??????? ?????? (???????????)

• Section5_5.f06
• ?? ????? ?????????????? ?????? ?????????
  ????????? ??????????????? ????????? (warning
  messages)?
• ??? ???????? ??????????????? (warning) ??????????

USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
7 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
8 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
9 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
10 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
11 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
12 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
13 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS. USER WARNING MESSAGE 5487 (EBCHKD)
ORIENTATION VECTOR DEFINED FOR THE ELEMENT ID
14 IS NEARLY PARALLEL, IT MAY GIVE POOR
RESULTS.
47
??????? ?????? (???????????)

• Section5_5.f06
• ????? ?????????? ?? ?????? ?????????, ?????????
  ????????? ? ????????? ???????
• ?????????? ???????? ?????? ? On Line
  Encyclopedia, ????????? ID ??????

USER FATAL MESSAGE 2026 (EMG) ELEMENT
7 GEOMETRY YIELDS UNREASONABLE MATRIX.
USER FATAL MESSAGE 2026 (EMG) ELEMENT
8 GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 9
GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 10
GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 11
GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 12
GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 13
GEOMETRY YIELDS UNREASONABLE MATRIX. USER
FATAL MESSAGE 2026 (EMG) ELEMENT 14
GEOMETRY YIELDS UNREASONABLE MATRIX.
48
??????? ?????? (???????????)

• On Line Encyclopedia ????????? ?????? ???
  2026
• 2026 USER FATAL MESSAGE 2026, ELEMENT
  GEOMETRY OR MATERIAL PROPERTY YIELDS UNREASONABLE
  MATRIX.
• (????????? ??? ???????? ????????? ???????? ?
  ???????????? ???????)
• ????????? ?/??? ???????? ??????? ????????
  ???????? ???????? ????, ??? ? ?????????? ???????
  ??????? ????????? ??? ??????? ???? ???????????
  ??????????????. ????????? ???????, ?? ?? ???,
  ????? ???? ?????? (1) ????? ??????? ??? ?????
  ????? ???? ??-?? ????, ??? ????? ?? ?????? ?????
  ?????????? ?????????? (2) ??????? ????????????
  ??? ???????? ???????????, ??? ???????? ?
  ????????????? ?????????? ????????? ???????
  ????????? ???????? (3) ?????? ??????????
  ????????? ???????? ?????????? ??? ??? ??? (4)
  ???????? ????? ??????? ??????? ??? ??????.
  ????????? ?????? GRID ? ?????? BULK DATA,
  ??????????? ???????? ????? ???????? ??? ?????????
  ????????? ??????.

49
??????? ?????? (???????????)

• Section5_5.bdf ????????? ?????? ??? BAR
  ????????? ? ????? ????????? ??????

bar elements follow CBAR 1 1 1
2 0. 1. 0. CBAR 2
1 2 3 0. 1. 0. CBAR
3 1 3 4 0. 1.
0. CBAR 4 1 4 5 0.
1. 0. CBAR 5 1 5 6
0. 1. 0. CBAR 6 1 6
7 0. 1. 0. CBAR 7
1 8 9 0. 1. 0. CBAR
8 1 9 10 0. 1.
0. CBAR 9 1 10 12 0.
1. 0. CBAR 10 1 12 1
0. 1. 0. CBAR 11 1
14 15 0. 1. 0. CBAR 12
1 15 16 0. 1. 0. CBAR
13 1 16 18 0. 1.
0. CBAR 14 1 18 7 0.
1. 0. CBAR 15 1 10
21 0. 1. 0. CBAR 16 1
21 22 0. 1. 0. CBAR 17
1 22 23 0. 1.
0. CBAR 18 1 23 24 0.
1. 0. CBAR 19 1 24 25
0. 1. 0. CBAR 20 1
25 16 0. 1. 0.
50
?????????? ??????? ??????

• ??? ????? ????????? ????????? ???????? ??????,
  ??????? ????? ?????????????? ??? ???????,
  ?????????? ???????? ????????? ??????????? ?????
  MSC Nastran DMAP.
• DMAP Direct Matrix Abstraction Procedure
• ???? ???????? ??????, ?? ??????? ??????? MSC
  Nastran
• ????????? ?????? ??? ????????? ? ??????????????
  ?????????????
• DMAP ?????? ????????? ?????????????? ????????,
  ????????? ??? ?????????? ??????????? ??? ???????
  ?????????????????? ???????.

51
?????????? ??????? ?????? (???????????)

• ????? ????????????? DMAP

DMAP ??????
?????????????????? ???????
???????? ???
????????? ??????? ??????
???????? ??????????
????????? SPCs
????????? MPCs
52
?????????? ??????? ?????? (???????????)

• ???????? ????? .f04
• ???? ".f04" ???????? ?????? ?????????? ???????
  MSC Nastran ???????????? ??? ??????? ??????
• ?????? ???, ????? ??????????? ?????-???? DMAP
  ??????, ? ????? .f04 ?????????? ?????? ??????????
  ??? ?????? ? ??? ??????? ?????????

53
?????????? ??????? ?????? (???????????)

• ???? ????????? ?? ?????? ?? ????????????
  ???????????? ?????????? ?? ???????, ????????????
  ????? ????? ????????? ???? .f04 ????? ??????????
  ? ????? ????? ?????? ??? ???????.
• ? ????? ??????, ????????? ??????????
  ?????????????????? DMAP ??????? ?????? ??????????
  ???????, ?? ??? ???????????? MSC ??????????????
  ????????? ????? ????????????? ??? ??????????
  ????? ???? ????? ??????.
• 103306 000 33.0 0.0
  0.6 0.0 PHASE1DR 104 (S)DBSETOFF BEGN
  
• 103306 000 33.0 0.0
  0.6 0.0 PHASE1DR 106 (S)PHASE1A
  BEGN
• 103306 000 33.0 0.0
  0.7 0.0 PHASE1A 42 TA1
  BEGN
• 103306 000 34.0 1.0
  0.7 0.0 PHASE1A 51 MSGHAN
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 PHASE1A 52 (S)SEMG
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 SEMG 22 ELTPRT
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 SEMG 28 EMG
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 SEMG 36 (S)ERRPH1
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 ERRPH1 19 (S)PRTSUM
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 PRTSUM 24 PROJVER
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 PRTSUM 25 DBDICT
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 PRTSUM 26 PRTPARM
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 ERRPH1 20 EXIT
  BEGN
• 103306 000 34.0 0.0
  0.7 0.0 XSEMDR END

SubDMAPs (????????????)
DMAP ??????
?????? ??????????? ?????
54

• ???????? ???? ????????

55
???????? ???? ????????

• ? ?????????? ??????? ?? ????????????? ??????
  ??????????? ??????
• ???????
• ? ???? ??????? ?? ????????? ?? ?? ??????????????
  
• ???????? ???? ????????
• ???????? ??????????? ?????????????

56
???????? ???? ???????? (???????????)

• ????? ????????
• ?????????? ????? ?????????
• ??????????? ???????????? ??? ?????????? ????????
  ???????????? ????? ?????????
• ???????? ???????? ?? ??????????????? ?????????
  (WARNING messages) ? ????? .f06
• ??????????????? ?????? ????????? ??????
• ???????? ?? ???? ???? ????? ?????????

57
???????? ???? ???????? (???????????)

• ?????????? ????? ?????????
• ??????????? ??????
• ??????????? ?????? ?????? ???? ??????, ??? 41
  (????? ?????? ??? ???? ? ??????? ??????????
  ??????????). ? ?????? ????????? ?????
  ?????????? ????????? ??????? ????????? ??????.

58
???????? ???? ???????? (???????????)

• ?????????? ????? ?????????
• ??????
• ??????????????? ???????? ?????? ???? ?????? ?
  ???????? ?????????, ????????? ??? ????????.

????????? ?? ????????? ????????, ???? ? lt 30?
59
???????? ???? ???????? (???????????)

• ?????????? ????? ?????????
• ???????? (2 ???????????)

????????? ?? ????????? ????????, ????
60
???????? ???? ???????? (???????????)

• ?????????? (????? ?? ?????????)
• ?????????? ???????? ?? 5. ? ????????????????
  ??? ?? ??????, ?? ???????? ?? ???????? ? ????
  ???? ??????????.

D1
D2
WARP h / 0.5(D1D2)
61
???????? ???? ???????? (???????????)

• ????? ???????
• ???????? ??????? (???????????)
• ???????????? ??????????? ????????
• ???????????? ??? ???????
• ???????? ??????? ??????????
• ???????????? ???????????

62
???????? ???? ???????? (???????????)

• ????? ??????? - ???????? ???????

????????? ???????????? ??????? ????????, ???
?????? ?????????? ? ???????????????? ????
??????? ????????? ??????????????
?????????? ??????? ?? ? ???????? ???????
63
???????? ???? ???????? (???????????)

• ???? ??? ???????? 10-6 ,? ??????, ??? ??????,
  ??? ?????? ????? ???????????.
• ??? ??????? ???? ???????????, ?????? ? ???????
• ?????????? ???????? ??????? ?????
• ???????? ? ??????????? ??????????

USER INFORMATION MESSAGE 5293 (SSG3A) FOR
DATA BLOCK KLL LOAD SEQ. NO.
EPSILON EXTERNAL WORK EPSILONS
LARGER THAN 0.001 ARE FLAGGED WITH ASTERISKS
1 -1.3760919E-13
3.6560133E04  
64
???????? ???? ???????? (???????????)

• ????? ??????? ???????????? ??????????? ????????
  
• ??????????? ?????? OLOAD ? ?????? Case Control
• ???????? ????? ???
• ??????????? ????????
• ??????? ???????? ?????????
• ??????? ?????????????? ????????

65
???????? ???? ???????? (???????????)

• ???????? ??????????? ????????

0 RESULTANTS ABOUT ORIGIN OF SUPERELEMENT BASIC
COORDINATE SYSTEM IN SUPERELEMENT BASIC SYSTEM
COORDINATES. 0
OLOAD RESULTANT
SUBCASE/ LOAD DAREA ID TYPE T1
T2 T3 R1
R2 R3 0 1 FX
-3.900000E03 ---- ----
---- 0.000000E00 3.744000E05
FY ----
-4.500000E03 ---- 0.000000E00
---- -1.296000E06
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00
----
MX ---- ---- ----
0.000000E00 ---- ----
MY
---- ---- ---- ----
0.000000E00 ----
MZ ----
---- ---- ---- ----
0.000000E00
TOTALS -3.900000E03 -4.500000E03
0.000000E00 0.000000E00 0.000000E00
-9.216000E05 0 20 FX 0.000000E00
---- ---- ----
0.000000E00 0.000000E00
FY ----
-1.818989E-12 ---- 0.000000E00
---- 9.313226E-10
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00
----
MX ---- ---- ----
0.000000E00 ---- ----
MY
---- ---- ---- ----
0.000000E00 ----
MZ ----
---- ---- ---- ----
0.000000E00
TOTALS 0.000000E00 -1.818989E-12
0.000000E00 0.000000E00 0.000000E00
9.313226E-10 0 30 FX 0.000000E00
---- ---- ----
0.000000E00 0.000000E00
FY ----
-2.123938E03 ---- 0.000000E00
---- -6.116941E05
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00
----
MX ---- ---- ----
0.000000E00 ---- ----
MY
---- ---- ---- ----
0.000000E00 ----
MZ ----
---- ---- ---- ----
0.000000E00
TOTALS 0.000000E00 -2.123938E03
0.000000E00 0.000000E00 0.000000E00
-6.116941E05
66
???????? ???? ???????? (???????????)

• ???? ?????? ???????????? ???????
• ????????, ??? ??????????? ?????????????? ?
  ??????????? OLOAD ?????

67
???????????? ??? ???????
RESULTANTS ABOUT ORIGIN OF SUPERELEMENT BASIC
COORDINATE SYSTEM IN SUPERELEMENT BASIC SYSTEM
COORDINATES. 0
SPCFORCE RESULTANT
SUBCASE/ LOAD DAREA ID TYPE T1
T2 T3 R1
R2 R3 0 1 FX
3.900000E03 ---- ---- ----
0.000000E00 0.000000E00
FY ----
4.500000E03 ---- 0.000000E00 ----
9.216000E05
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS 3.900000E03 4.500000E03
0.000000E00 0.000000E00 0.000000E00
9.216000E05 0 20 FX 0.000000E00
---- ---- ----
0.000000E00 0.000000E00
FY ----
7.275958E-12 ---- 0.000000E00 ----
2.095476E-09
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS 0.000000E00 7.275958E-12
0.000000E00 0.000000E00 0.000000E00
2.095476E-09 0 30 FX -3.410605E-12
---- ---- ----
0.000000E00 0.000000E00
FY ----
2.123938E03 ---- 0.000000E00 ----
6.116941E05
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS -3.410605E-12 2.123938E03
0.000000E00 0.000000E00 0.000000E00
6.116941E05

68
???????? ??????????

• ???????? ?????????? ???????? ????? ?? ?????
  ?????? ???????? ? ??????????? ???????
• S F 0 S M
  0
• ?????? ????? ???? ???????? ?????????? OLOAD,
  SPCFORCE ? MPCFORCE ? ??????? ?? ???????????? ???
  ???????? ??????????
• ?????? ? ?????? Case Control ????????? ???????
  Equilibrium, ????????????? ??????????????
  ???????? ??????????
• ???????? ?????? ??? ???????????? ???????

69
???????? ?????????? (???????????)

• ??????

70
???????? ?????????? (???????????)

• ???????? ??? ???????? ??????

71
???????? ?????????????? ??????????? ????????

• ?????? ?? ????? ???????? ? ?????? ??????????
• OLOAD n
• ??? ????????? ????? ?????????? ????? ???????????
  ??????? ?????? ???????? ??????
• ????????, ?????????????? ???????? ? ???????
  ???????

72
???????? ?????????????? ??????????? ????????
(???????????)

73
???????? ???? ???????? (???????????)

• ????? ??????? ???????????? ??? ???????
• ?????????, ??? ???????? ????????????? ?
  ?????????? ????????? ??????????? ????????

74
???????? ???? ???????? (???????????)

• ???????? ??? ???????

RESULTANTS ABOUT ORIGIN OF SUPERELEMENT BASIC
COORDINATE SYSTEM IN SUPERELEMENT BASIC SYSTEM
COORDINATES. 0
SPCFORCE RESULTANT
SUBCASE/ LOAD DAREA ID TYPE T1
T2 T3 R1
R2 R3 0 1 FX
3.900000E03 ---- ---- ----
0.000000E00 0.000000E00
FY ----
4.500000E03 ---- 0.000000E00 ----
9.216000E05
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS 3.900000E03 4.500000E03
0.000000E00 0.000000E00 0.000000E00
9.216000E05 0 20 FX 0.000000E00
---- ---- ----
0.000000E00 0.000000E00
FY ----
7.275958E-12 ---- 0.000000E00 ----
2.095476E-09
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS 0.000000E00 7.275958E-12
0.000000E00 0.000000E00 0.000000E00
2.095476E-09 0 30 FX -3.410605E-12
---- ---- ----
0.000000E00 0.000000E00
FY ----
2.123938E03 ---- 0.000000E00 ----
6.116941E05
FZ ---- ----
0.000000E00 0.000000E00 0.000000E00 ----

MX ---- ---- ----
0.000000E00 ---- ----
MY ----
---- ---- ----
0.000000E00 ----
MZ ---- ----
---- ---- ----
0.000000E00
TOTALS -3.410605E-12 2.123938E03
0.000000E00 0.000000E00 0.000000E00
6.116941E05
75
???????? ???? ???????? (???????????)

• ????? ??????? ???????? ??????? ??????????

USER INFORMATION MESSAGE 5293 (SSG3A) FOR
DATA BLOCK KLL LOAD SEQ. NO.
EPSILON EXTERNAL WORK EPSILONS
LARGER THAN 0.001 ARE FLAGGED WITH ASTERISKS
1 -1.3760919E-13
3.6560133E04  
?????? ½ ????????? ???? ?????????
??????????? ( ??????????????) ½ OLOAD
???????? ??????????? (???? ??? ???????????
????? ??????? ????? ???????? ????????)
76
???????? ???? ???????? (???????????)

• ????? ??????? ???????????? ???????????
• ??????? PARAM,PRTMAXIM,YES ??? ???? ??????????
• ????? ???? (GRID ID) ?? ??????????, ? ????? ????
  ?????? ??? ?????? ??????? ???????
• 
  
  
• 0
  MAXIMUM DISPLACEMENTS
• 0 T1
  T2 T3
  R1 R2
  R3
• 0 1 3.0938861E-07 4.1483727E-08
  3.6560131E01 7.2180829E00 5.6827263E01
  0.0000000E00

???????? !!! ?????? ( ???????.) ½ OLOAD
????. ??????????? ( 2e3 36.5 .5 36.5e3 )
77
???????? ???? ????????. ??????

• ????????? section5_6.bdf
• ????????? ????????? ????????
• ???????? ???????
• ???????????? ??????????? ????????
• ???????????? ??? ???????
• ???????? ??????? ??????????
• ???????????? ???????????

78

• ???????? ?????????????

79
???????? ?????????????

• ???????? ???????
• ????????? ????? ?????? ???????????????
  ???????????? ?????
• ???????? ????? ?????? ???????????????
  ???????????? ?????
• ??????????
• ????????? ???????

80
???????? ????????????? (???????????)

• ????????? ????? ?????? ???????????????
  ???????????? ?????

81
???????? ????????????? (???????????)

• ???????? ????? ?????? ???????????????
  ???????????? ?????

82
???????? ????????????? (???????????)

• ??????????
• ??????? ??????????????? ?????????

??????? ????????? ????????????? ??????????
?????? ????????????? ??????????
83
???????? ????????????? (???????????)

• ??????????
• ????? ??????? ?????????

84
???????? ????????????? (???????????)

• ????????? ???????
• ???????????? ??????????? ???????? ???????
  ????????? ??? SPC, MPC ? RIGID ????????? ?????
  "?????????" ??????
• ?????????? ??????????? ?????? ????? ???????? ?
  ???????? ??????? ????????? ?????????? ?????
  ??????????? ????????. ??? ?????????? ?????
  ?????? ???????? ?????????????? ???? ??????????
• ??????????? (??? ????) ? ????? ???? ???????? ?
  ????????????? ? ???? ??????????. ??????????
  ??????? ?????????? ? ???? ????? ???????? ?????
  ??????????.

85
???????? ????????????? (???????????)

• ????????? ???????
• ?????????? ??????????? ??????? ??? ?????????
  "??????????? ?????????" (Inertia Relief) ???
  ?????????? ?????-???????????? ???????
  ?????????????? (?????????) ??????????? ???
  ????????? ??????????? (???????? ??? ???????????)
  ?????????.

???????????????? ????????
??????????? ????????
86

• MPC - ????????? ??????? ??? ?????? ?????
• Rigid (???????) ????????

87
????????? ??????? ??? ?????? ?????

• ????????? ??????? ??? ?????? ????? (MPC) ????????
  ????????????? ? ???? ????????? ?????????, ???????
  ?????? ??????????? ????? ????????????? ??
  ???????? ???????.
• MPC ??????? ???????????? ???
• ??????????? ?????????????? ???????? ???? ? ?????
  ??????? ????? ?? ???????? ???????? ???????
• ?????????? ????????? ????? ????????? ????????,
  ?????????? ?????????, ??????? ????? ????????????
  ??????? ??????? ? ??????????, ??????? ?????
  ?????? ?????????????? ??????? ??????? (???????? ?
  ????????? ??????????)
• ????????????? ???????? ? ?????????? ??????
  ???????????
• ????????????? ??????? ?????? ????? ??????

88
????????? ??????? ??? ?????? ????? (???????????)

• ???????????, ???? 145 ? 146 ?????? ?????????
  ?????? ? ???????????? x ? y (????? ???? ???-????
  ?????????)

-1.0Ux145 1.0Ux146 0.0
-1.0Uy145 1.0Uy146 0.0
146
145
????? ????? ?????? S aiUi 0.0
??? a - ???????????,U - ??????? ???????
89
????????? ??????? ??? ?????? ????? (???????????)
Case Control
SUBCASE 1 SUBTITLEedge MPC 1 SPC 2
LOAD 2 .
Bulk Data

• SID GRID DOF A1 GRID DOF A2
• MPC 1 145 1 -1. 146
  1 1.
• MPC 1 145 2 -1. 146
  2 1.

• ??????????, ??? ?????? ?????????, ???????????? ?
  ???? ?????????, ???????? ????????? ??????????? ?
  ?????????? ? ?????? Um. ???? ????????? ?? ?????
  ???????????? ???????? ??????? ?????????? Ug.

90
????????? ??????? ? ???? ??????? ????????? (R-???)

• MSC NASTRAN ???????? ????????? ???????? ?????
  ???????????? MPC-??????????? ? ????? ?????????
  ????????? R-????. ?? ????????? ??????,
  ???????????? ????????????? ?????????????, ?????
  ????????? ???????? ?????? MPC- ???????????,
  ????????? ??????? ???????? (???????? R-????) ???,
  ??? ??? ????????.
• ? ??????? ?? MPC, ???????? R-???? ?? ?????????? ?
  ?????? CASE CONTROL. ??? ??????????? ?????? ?
  ?????? BULK DATA ?????????? ????????
• ??? ???? ????????? R-????
• ????????
• ?????????? (?????????????? ????????, a,
  ???????????????? ?????????)

91
??????? (Rigid) ????????

• RBAR - ??????? ???????? ??????? ? ??????
  ????????? ??????? ?? ?????? ?????
• RBE2 - ??????? ???? ????????? ? ????????????
  ?????? ?????
• RBE3 - ?????????? ????????? ?????????, ? ???????
  ???????? "??????????" ???? ????????
  ???????????????? ????????? ???????? ??????
  ?????

92
?????? RBAR

• GA, GB ???? A ? B ??????????????
• CNA, CNB ??????????? ??????? ??????? ?? ??????
  A ? B ??????????????
• CMA, CMB ????????? ??????? ??????? ?? ?????? A
  ? B ??????????????
• ALPHA ???????? ??????????? ??????????
  (???????? ?????? ? ?????????? ?????? Lagrange,
  ??. ??????)

93
?????? RBE2

• GN ??????????? ????
• GM ????????? ????
• CM ?????????? ? ????????? ?????
• ALPHA???????? ??????????? ?????????? (????????
  ?????? ? ?????????? ?????? Lagrange, ??. ??????)

94
?????? RBE3
95
?????? RBE3 (???????????)

• REFGRID ??????? ????
• REFC ??????????, ???????????? ?? REFGRID
• WTi ??????? ???????
• Ci ?????????? ? ??????? ???????? Wti ? ????
  Gi,j
• Gi,j ??????? ????? ? ???????????? Ci,
  ?????????? ? ????????? ??????? ?????? Wti
• ALPHA???????? ??????????? ?????????? (????????
  ?????? ? ?????????? ?????? Lagrange, ??. ??????)

96
??????? (Rigid) ???????? (???????????)

• RSPLINE ?????????? ????????? ?????????
  ???????????? ???????? ????????????
  ????????????? ? ?????? ??????? ?????? ?????????
  ?????
• RSSCON ???????????? ??? ?????????? Plate
  ????????? ? Solid ??????????
• ? ??????? 2.10 MSC NASTRAN Application Manual
  ????????? 10 ???????? ????????????? ?????????
  R-???? ? ??? ??????? ????????????? MPC.

97
??????? (Rigid) ???????? (???????????)

• ?????? ????????????? ???????? RBE2
• MPC ? section5_4.bdf ????? ???? ????????
  ????????? RBE2
• ????????? ????????? MPC-?????????

• ????????? ??????? ???????? "?????"

98
??????? (Rigid) ???????? (???????????)

• ?????? ????????????? ???????? RBE2
• ??????? ??????? ?????? "?????" ????????
  ???????????? ????????? ???????
• ?????? ??????? ??????? ???????? ?????????? ? ??
  ?????? ????? ???????????? ??????

99
??????? (Rigid) ???????? (???????????)

• ?????? ????????????? ???????? RBE2

RBE2 ?????
SPC ?????
100
??????? (Rigid) ???????? (???????????)

• ??????? ????????????? ???????? RBE2
• ?????????? ??? ????????? ???????
• ???? ?????????
• ?????????????? ???????
• ?????????? ???????? ? ????????? ??????
• ????? ?????? ??????, ????????, ?????? ? ??????
  ??????? ????

101
??????? (Rigid) ???????? (???????????)

• ?????? ????????????? ???????? RBE3
• MPC ? section5_4.bdf ????? ???? ???????? RBE3
  ??????????
• ????????????? ????? ?????? ???? ?????????
  ??????? ????????? ??? ??????????? ?? ??????????
  ???????????

• ????????? ??????? ??????? "?????"

102
??????? (Rigid) ???????? (???????????)

• ?????? ????????????? ???????? RBE3
• ??????? ??????? ?????? "?????" ????????
  ?????????? ????????? ???????
• ?????? ??????? ??????? ???????? ???????????? ?
  ????? ????? ???????????? ?????

103
??????? (Rigid) ???????? (???????????)

• RBE3 ????????????? ????? ?????? ???? ?????????
  ???????? ??? ??????? ?? ????????? ???????????
• ??????? ????????????? ???????? RBE3
• ?????????? ??? ????????? ???????
• ?????????????? ???????
• ?????????? ???????? ? ????????? ??????
• ??????? ?? ????? ? ??????? ?????? ??????????
  ????????
• ????????????? ???????? ????????
• ???????????? ???????? ???????? ?? ????????? ?????
  ?? ?????????????

104
??????? ???????? (??????)

• ??????????? ???? section5_3.bdf
• ?????????? ?????????????? ??? ? ??????????????
• RBAR
• RBE2
• RBE3
• ???????? ????????????? ???????????

105
??????? ????????

• RSSCON

?????????? Solid ???????? ? Plate ?????????
??????? MPC
106
??????? ???????? (???????????)

• RSSCON ????? ?????????

107
??????? ???????? (???????????)

• RSSCON ????? ?????

108
??????? ???????? (???????????)

• ??????????? ???? section5_3.bdf
• ?????????? ?????????????? ??? ? ??????????????
• RSSCON ??????? ?????
• RSSCON ????? ?????????
• ???????? ????????????? ???????????

109
?????????????????? ??????? ????????? (v2004)

• ?? MSC Nastran 2004 ??????? ???????? (????????,
  RBAR ? ?.?.) ???? ????????? ??????????
• ? MSC Nastran 2004 ?????? ????? ??? ???????
  ????????? ?????????? ????????
• ???????? ??????? ???????? ???????? ??????????
  ?????????????
• ?? ????????? ???????? ????????
• ?? ???????? ???????????????? ???????? ?????????,
  ??? ????? ? ???????????? ??????????? ? ???????,
  ????????? ?? (????????, ?????? ????????????)
• ?????????? ?????? ????? ????????, ??? ????? ?
  ???????????? ??????????? ? ?????????????
  ?????????? ???????
• ?????????? ????? ??????????, ?????????? ? ???????
  ????????

110
?????????????????? ??????? ????????? (v2004)
(???????????)

• ?? ?????????? ??????? ???????? ?? ????????
  ?????????????, ?????????????? ?? ????????
  ???????? (??????????? ?? ?????????? ??????)
• ?????????? ??????? ???????? ?????? ?? ????????
  ???????? ? ???????? ????????? ?????? MPC,
  ??????? ??????????? a ???? (a ???????????
  ?????????????? ??????????)
• ? ??????????? ?? ?????? ?????????? ????????
  ???????? ? ???? ??????????? 1-6 ???????? ??????
  ?????????? ????????
• ????????, ? RROD 1 ??????? ??????? ?????????
  ????????, ? RBAR ?? 1 ?? 6

111
?????????????????? ??????? ????????? (v2004)
(???????????)

• ??? ???? ??????? ?????????? ????????
• ??????????? ????? ?????????? ????????
  (?????????????? ?????)
• ??????????? ??????? ???????, ????????? ???????
  ???????, ? ??????? ??????? ?????????? ????????
  ???????? ? ?????? ??????? (l-set)
• ??????????? ????????????? ???????
• ???????? ??? ??????? SOL 101, 103, 105 ? 400
• ????? ?????????? ???????? (??????????????? ?????)
• ? ????????? ??????? ???????, ? ??????? ???????
  ?????????? ???????? ??????????? ?? ??????????
  ??????? ????????? ? ?????????? ? mr-set
• ???????? ????????????? ???????
• ???????? ??? ??????? SOL 101, 103 ? 105

112
?????????????????? ??????? ????????? (v2004)
(???????????)

• ?? ????????? ???????????? ???????? ???????
  ????????
• ??? ?????? ??????????? ??????? ????????? ? ??????
  Case Control ????????? ????? ???????
• LINEAR
• RIGID LAGR
• LGELIM
• ??? LINEAR ???????? ??????? ??????? (??
  ?????????)
• LAGR ??????????? ???????
  ??????? ????????
• LGELIM ????? ?????????? ????????

113
?????????????????? ??????? ????????? (v2004)
(???????????)

• ???????????? ???????? ??????? ???????? RBAR,
  RBE1, RBE2, RBE3, RROD ? RTRPLT ????????????
  ????? ??????? ???????? ???????? (??????????????
  ???????? RIGID ?????? Case Control)
• ????????? ??? ????? ??????? ????????
• RBAR1
• RTRPLT1
• RJOINT
• ??? Rtype ???????? ????? ?????????????? ??? ?
  ????????, ??? ? ? ??????????? ???????????
• ??????? ?????? ?? ???????? ??????????? ??? ????
  ???????

114
?????????????????? ??????? ????????? (v2004)
(???????????)

• RBAR
• ???????? ??????? ???????
• ??????????? ??????? ??????? ??????????? ? ?? CAN,
  ? ?? CNB
• ??????? ??????? ????????
• ??????????? ??????? ??????? ?????? ????
  ?????????? ?? ???? ?????
• ?? ????????? CNA123456 ? CMB123456
• ??????????? ??????? ????????? ??? ????????? RBE1,
  RBE2 ? RTRPLT

RBAR EID GA GB CNA CNB CMA CMB ALPHA
115
?????????????????? ??????? ????????? (v2004)
(???????????)

• RBAR1 (????? ?????????????? ????? RBAR)
• ??? 6 ???????? ??????? ?? GA ????????
  ????????????
• ????????? ??????? ??????? ???? GB ???????????? ?
  ???? CMB
• ??????????????? ??? ??????? ????????? ????????
• RTRPLT1 (????? ?????????????? ????? RTRPLT)
• ??? 6 ???????? ??????? ?? GA ????????
  ????????????
• ????????? ??????? ??????? ?? ????? GB ? GC
  ???????????? ? ????? CMB ? CMC ??????????????

RBAR1 EID GA GB CMB ALPHA
RTRPLT1 EID GA GB GC CMB CMC ALPHA
116
?????????????????? ??????? ????????? (v2004)
(???????????)

• RROD
• ???????? ??????? ???????
• ???????? ???? ????????? ??????? ??????? ?? CMA
  ??? CMB
• ??????? ??????? ????????
• ???????? ???? ????????? ??????? ??????? ?? CMA
  ??? CMB
• ???
• ????????? MSC Nastran ??????? ????????? ???????
  ??????? ????????????? (?????????????)
• RBE3
• ???????? ??????? ???????
• REFC ????? ?????????? ?? ????? ?? 1 ?? 6
  (????????, 126, 12356, ? ?.?.)
• ??????? ??????? ????????
• REFC ?????? ???? 123, 456 ??? 123456

RROD EID GA GB CMA CMB ALPHA
117
?????????????????? ??????? ????????? (v2004)
(???????????)

• RJOINT
• ?????? ?????? ???????? ????????
• ??? 6 ???????? ??????? ?? GA ??????????
• GB ???????? ????????? ?????
• CB ????????? ??????? ????