1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
|
SUBROUTINE CONE (TI,Z)
C
C THIS ROUTINE COMPUTES THE THERMAL LOADS ON A AXISYMMETRIC CONE
C
REAL I00 ,I10
REAL I01 ,I11 ,I21 ,I31 ,I41
REAL I02 ,I12 ,I22
REAL I03 ,I13 ,I23 ,I33
REAL TI(2) ,Z(1) ,PA(8) ,XI(6) ,ECPT(35)
REAL N2D33 ,NSP ,NCP ,NSPOPI
REAL EHT(96) ,HUQ(100) ,HYQ(10)
COMMON /CONDAS/ PI ,TWOPI ,RADEG ,DEGRA ,
1 S4PISQ
COMMON /TRIMEX/ MECPT(35)
COMMON /MATIN / MATID ,INFLAG ,TEMP ,STRESS ,SINTH ,
1 COSTH
COMMON /MATOUT/ G11,G12 ,G13,G22 ,G23,G33 ,RHO,ALPH1,ALPH2 ,
1 ALPH3 ,TSUB0 ,GSUBE ,SIGTEN ,SIGCOM ,
2 SIGSHE ,G2X211 ,G2X212 ,G2X222
EQUIVALENCE (ECPT( 1) ,MECPT(1)),(ECPT( 9), TS )
EQUIVALENCE (ECPT(28) ,RA ),(ECPT(32), RB )
EQUIVALENCE (ECPT(29) ,ZA ),(ECPT(33), ZB )
EQUIVALENCE (ECPT( 6) ,MATID2 ),(ECPT( 8), MATID3)
EQUIVALENCE (GSHEAR ,G12 )
DATA ONE / 1.0 /
C
C DEFINITION OF VARIABLES
C
C ECPT ENTRIES FOR CONE
C
C ECPT(1) INTEGER ELEMENT ID = 1000*ELID + HARMONIC
C ECPT(2) INTEGER SIL A
C ECPT(3) INTEGER SIL B
C ECPT(4) INTEGER MAT ID 1
C ECPT(5) REAL T MEMBRANE THICKNESS
C ECPT(6) INTEGER MAT ID 2
C ECPT(7) REAL MOMENT OF INERTIA
C ECPT(8) INTEGER MAT ID 3
C ECPT(9) REAL SHEAR THICKNESS
C ECPT(10) REAL NON -STRUCTRAL MASS
C ECPT(11) REAL Z1
C ECPT(12) REAL Z2
C ECPT(13) REAL PHI 1
C ECPT(14) REAL 2
C ECPT(15) REAL 3
C ECPT(16) REAL 4
C ECPT(17) REAL 5
C ECPT(18) REAL 6
C ECPT(19) REAL 7
C ECPT(20) REAL 8
C ECPT(21) REAL 9
C ECPT(22) REAL 10
C ECPT(23) REAL 11
C ECPT(24) REAL 12
C ECPT(25) REAL 13
C ECPT(26) REAL 14
C ECPT(27) INTEGER COORDINANT SYSTEM FOR POINT A
C ECPT(28) REAL R (A)
C ECPT(29) REAL Z (A)
C ECPT(30) REAL NULL
C ECPT(31) INTEGER COORDINANT SYSTEM FOR POINT B
C ECPT(32) REAL R (B)
C ECPT(33) REAL Z (B)
C ECPT(34) REAL NULL
C ECPT(35) REAL TEMPERATURE OF MATERIAL
C
C XL LENGTH BETWEEN POINTS
C SP SINE OF PHI
C CP COSINE OF PHI
C I-S INTEGRAL FROM PAGE 46 MS,28
C MATID MATERIAL ID (MAT 1 CARD)
C INFLAG OPTION 2 OF MAT ROUTINE
C TEMP MATERIAL TEMPERATURE
C SINTH 0.0 DUMMY
C COSTH 1.0 DUMMY
C XN HARMONIC NUMBER
C PA(8) TOTAL LOAD VECTOR
C XI(6) CYLINDRICAL LOAD
C
C
C IF MEMBRANE THICKNESS = 0, THEN LOAD IS ZERO
C
IF (ECPT(5) .EQ. 0.0) GO TO 160
C
C COMPUTE L, SINPHI, COSPHI
C
RBMA = RB - RA
ZBMA = ZB - ZA
XL2 = RBMA**2 + ZBMA**2
XL = SQRT(XL2)
IF (XL .EQ. 0.0) GO TO 160
SP = RBMA/XL
CP = ZBMA/XL
C
C COMPUTE I-S
C
XL4 = XL2*XL2
RAV = (RA + RB)*0.5
I00 = XL *RAV
I10 = XL2*(RA + 2.0*RB)/6.0
I01 = XL
I11 = XL2/2.0
I21 = XL2*XL/3.0
I31 = XL4/4.0
I41 = XL4*XL/5.0
C
C SET UP FOR MAT ROUTINE
C
MATID = MECPT(4)
INFLAG= 2
TEMP = ECPT(35)
SINTH = 0.0
COSTH = 1.0
CALL MAT (MECPT(1))
C
C COMPUTE COEFICCIENTS
C
F = (G12*ALPH2 + G22*ALPH1)*ECPT(5)*PI
FF = (G11*ALPH2 + G12*ALPH1)*ECPT(5)*PI
C
C COMPUTE A
C
A = (TI(1)-TSUB0)*F
C
C COMPUTE B
C
B = (TI(2)-TI(1))/XL*F
C
C COMPUTE C
C
C = (TI(1)-TSUB0)*FF
C
C COMPUTE D
C
D = (TI(2)-TI(1))/XL*FF
C
C DECODE N
C
IXN = MECPT(1)/1000
XN = MECPT(1) - IXN*1000 - 1
C
C COMPUTE PA
C
F = I01*A + I11*B
FF = I11*A + I21*B
PA(1) = XN*F
PA(2) = XN*FF
PA(3) = SP*F
PA(4) = SP*FF + I00*C + I10*D
PA(5) = CP*F
PA(6) = CP*FF
PA(7) = CP*(I21*A + I31*B)
PA(8) = CP*(I31*A + I41*B)
C
C CHECK HARMONIC NO. IF(XN = 0.0) DOUBLE PA VECTOR
C
IF (XN .NE. 0.0) GO TO 30
DO 20 I = 1,8
20 PA(I) = 2.0*PA(I)
C
C OMPUTE TRANSFORMATION MATRIX HUQ. SEE MS-28, PP. 15, 16, 24, 25
C
30 DO 40 I = 1,100
40 HUQ(I) = 0.0
HUQ( 1) = ONE
HUQ( 13) = ONE
HUQ( 25) = ONE
HUQ( 36) = ONE
HUQ( 41) = CP/RA
HUQ( 45) = XN/RA
HUQ( 49) = ONE
HUQ( 51) = ONE
HUQ( 52) = XL
HUQ( 63) = ONE
HUQ( 64) = XL
HUQ( 75) = ONE
HUQ( 76) = XL
HUQ( 77) = XL2
HUQ( 78) = HUQ(77)*XL
HUQ( 86) = ONE
HUQ( 87) = 2.0*XL
HUQ( 88) = 3.0*HUQ(77)
HUQ( 91) = CP/RB
HUQ( 92) = HUQ(91)*XL
HUQ( 95) = XN/RB
HUQ( 96) = HUQ(95)*XL
HUQ( 97) = HUQ(95)*XL2
HUQ( 98) = HUQ(96)*XL2
HUQ( 99) = ONE
HUQ(100) = XL
C
C CHCEK IF HYQ VECTOR NEEDED
C
IF (MATID2 .EQ.0 .OR. MATID3 .EQ.0 ) GO TO 60
IF (ECPT(7).EQ.0.0 .OR. ECPT(9).EQ.0.0) GO TO 60
C
C FORM (D) = I*(G)
C
D11 = ECPT(7)*G11
D12 = ECPT(7)*G12
D22 = ECPT(7)*G22
D33 = ECPT(7)*G33
C
C PICK UP GSHEAR FROM MAT
C
INFLAG = 1
MATID = MATID3
TEMP = ECPT(35)
CALL MAT (MECPT(1))
IF (GSHEAR .EQ. 0.0) GO TO 60
C
C COMPUTE INTEGRALS
C
B = SP
B2 = B*B
B3 = B*B2
B4 = B*B3
RLOG = ALOG(RB/RA)
RASQ = RA*RA
RBMA2 = RBMA*RAV
ORBORA = ONE/RB - ONE/RA
TWORA = RA + RA
C
C IF SP = 0 EVALUATE INTEGRALS DIFFERENTLY
C
IF (SP .NE. 0.0) GO TO 45
TEMP1= RAV*RAV
TEMP3= XL2*XL
I02 = XL/RAV
I12 = XL2/(2.0*RAV)
I22 = TEMP3/(3.0*RAV)
I03 = XL/TEMP1
I13 = XL2/(2.0*TEMP1)
I23 = TEMP3/(3.0*TEMP1)
I33 = (XL2*XL2)/(4.0*TEMP1)
GO TO 49
45 CONTINUE
I02 = RLOG/B
I12 = (RBMA - RA*RLOG)/B2
I22 = (RBMA2 - TWORA*RBMA + RASQ*RLOG)/B3
I03 =-ORBORA/B
I13 = (RLOG + RA*ORBORA)/B2
I23 = (RBMA - TWORA*RLOG - RASQ*ORBORA)/B3
I33 = (RBMA2 - 3.0*RA*RBMA + 3.0*RASQ*RLOG + RASQ*RA*ORBORA)/B4
C
C COMPUTE HYQ
C
49 CONTINUE
CP2 = CP*CP
SP2 = SP*SP
XN2 = XN*XN
OPI = ONE/PI
N2D33 = XN2*D33
SP2D22 = SP2*D22
OQ = XL*TS*GSHEAR*RAV + I02*(N2D33 + SP2D22)*OPI
OQ = ONE/OQ
NSP = XN*SP
NCP = XN*CP
NSPOPI = NSP*OPI
TWOD33 = 2.0*D33
TEMP1 = D12*ORBORA
TEMP2 = NSPOPI*(D22 + D33)
TEMP3 = XN*NSPOPI*(TWOD33 + D22)
TEMP4 = OQ*0.5*N2D33*CP*OPI
TEMP5 = OPI*(XN2*TWOD33 + SP2D22)
TEMP6 = D12*XN2*XL2/RB
TEMP7 = NSPOPI*CP*0.5
HYQ( 1) = OQ*(TEMP1*NCP - TEMP7*I03*(D33 + 2.0*D22))
HYQ( 2) = OQ*(NCP*XL/RB*D12 - TEMP7*I13*(3.0*D33 + D22)
1 + 1.5*NCP*OPI*I02*D33)
HYQ( 3) = TEMP4*I03
HYQ( 4) = TEMP4*I13
HYQ( 5) = OQ*(TEMP1*XN2 - TEMP3*I03)
HYQ( 6) = OQ*(D12*XN2*XL/RB - TEMP3*I13 + TEMP5*I02)
HYQ( 7) = OQ*(2.0*D11*(RA-RB) + TEMP6 + 2.0*I12*TEMP5 - TEMP3*I23)
HYQ( 8) = OQ*(-D11*6.*XL*RB + TEMP6*XL + 3.*I22*TEMP5 - TEMP3*I33)
HYQ( 9) =-OQ*TEMP2*I02
HYQ(10) = OQ*(XN*XL*(D12 + D33) - TEMP2*I12)
DO 50 I = 1,10
HUQ(I+30) = HUQ(I+30) - HYQ(I)
50 HUQ(I+80) = HUQ(I+80) - HYQ(I)
C
ITEST = 1
GO TO 61
60 ITEST = 0
HUQ(41) = 0.0
HUQ(45) = 0.0
HUQ(91) = 0.0
HUQ(92) = 0.0
HUQ(95) = 0.0
HUQ(96) = 0.0
HUQ(97) = 0.0
HUQ(98) = 0.0
HUQ(99) = 0.0
61 CONTINUE
C
C NO NEED TO COMPUTE DETERMINANT SINCE IT IS NOT USED SUBSEQUENTLY.
C
ISING = -1
CALL INVERS (10,HUQ(1),10,DUM,0,DETERM,ISING,EHT(1))
IF (ISING .EQ. 2) CALL MESAGE (-30,40,MECPT(1))
IF (ITEST .NE. 0) GO TO 62
HUQ( 85) = 0.0
HUQ(100) = 0.0
62 CONTINUE
C
C COMPLETE SOLUTION
C
C FIRST OBTAIN PRODUCTS
C T
C EHAT = (E)(H ) AND STORE AT EHT(1) . . . EHT(48)
C A
C
C T
C EHBT = (E)(H ) AND STORE AT EHT(49). . . EHT(96)
C B
C /
C WHERE (HUQ) = (HA/HB)
C /
C AND
C 0 CP SP 0 0
C
C 1 0 0 0 0
C
C 0 CP -SP 0 0
C E MATRIX =
C 0 0 0 0 SP
C
C 0 0 0 1 0
C
C 0 0 0 0 CP
C
INC1 = 0
INC2 = 0
110 DO 120 I = 1,8
KROW = I + INC1
NCOL = (I-1)*10 + INC2
EHT(KROW ) = SP*HUQ(NCOL+2) + CP*HUQ(NCOL+3)
EHT(KROW+ 8) = HUQ(NCOL+1)
EHT(KROW+16) = CP*HUQ(NCOL+2) - SP*HUQ(NCOL+3)
EHT(KROW+24) = SP*HUQ(NCOL+5)
EHT(KROW+32) = HUQ(NCOL+4)
120 EHT(KROW+40) = CP*HUQ(NCOL+5)
IF (INC1 .GT. 0) GO TO 130
INC1 = 48
INC2 = 5
GO TO 110
C
C PERFORM TRANSFORMATION OF LOAD VECTOR
C
130 DO 150 J = 1,2
CALL GMMATS (EHT(48*J-47),6,8,0,PA(1),8,1,0,XI(1))
K = MECPT(J+1) - 1
DO 140 I = 1,6
K = K + 1
140 Z(K) = Z(K) + XI(I)
150 CONTINUE
C
160 RETURN
C
END
|
