$ ID TRUSS, DESOPT
ID TRUSS, COV2
diag 8,15
$
SOL 200
$
INCLUDE 'SSSALTERDIR:cova.alt'
$
CEND
TITLE =    TRUSS EXAMPLE FOR SIZING OPTIMIZATION               COV2
SUBTITLE =     DIFFERENT VARIANCES
DISPLACEMENT = ALL
OLOAD = ALL
STRESS = ALL
SPC   = 1
$
analysis = statics
desobj = 11
$
SUBCASE = 1
 LOAD = 1000
 LABEL = VERTICAL LOAD
 dessub = 1
SUBCASE = 2
 LOAD = 2000
 LABEL = HORIZONTAL LOAD
 dessub = 1
$
$
BEGIN BULK
$
$
MAT1,   1, 1.000E7, ,0.3 ,0.1 ,0.0     ,0.0
PROD ,   1,   1 ,5.0    ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   1,   1,   5,   3
PROD ,   2,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   2,   2,   3,   1
PROD ,   3,   1 ,5.0    ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   3,   3,   6,   4
PROD ,   4,   1 ,5.0    ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   4,   4,   4,   2
PROD ,   5,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   5,   5,   3,   4
PROD ,   6,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   6,   6,   1,   2
PROD ,   7,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   7,   7,   5,   4
PROD ,   8,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   8,   8,   6,   3
PROD ,   9,   1 ,5.0    ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,   9,   9,   3,   2
PROD ,  10,   1 ,5.0     ,0.0     ,0.0     ,0.0     ,        ,        ,
CROD ,  10,  10,   4,   1
FORCE ,  1,   2,,1.      ,0.0     ,-10000. ,0.0
FORCE ,  1,   4,,1.      ,0.0     ,-10000. ,0.0
FORCE ,  2,   1,,1.      ,10000. ,0.0 ,0.0
FORCE ,  2,   2,,1.      ,10000. ,0.0 ,0.0
SPC,1,   5,   1,0.0
SPC,1,   5,   2,0.0
SPC,1,   6,   1,0.0
SPC,1,   6,   2,0.0
LOAD,1000,1.0,1.0,1
LOAD,2000,1.0,1.0,2
GRID,   1,,720.    ,360.    ,0.0     ,,  3456
GRID,   2,,720.    ,0.0     ,0.0     ,,  3456
GRID,   3,,360.    ,360.    ,0.0     ,,  3456
GRID,   4,,360.    ,0.0     ,0.0     ,,  3456
GRID,   5,,0.0     ,360.    ,0.0     ,,  3456
GRID,   6,,0.0     ,0.0     ,0.0     ,,  3456
PARAM,AUTOSPC,YES
$
$-----------------------------------------------------------------------
$
$  DMI INPUT FOR COVARIANCE MATRIX OF DESIGN VARIABLES
$
$      EACH ROD AREA = 5.0, SO A STANDARD DEVIATION OF X% IS:
$        10% IS 0.5, 9% IS 0.45, 8% IS 0.4, 7% IS 0.35, 6% IS 0.3,
$        5% IS 0.25, 4% IS 0.2, 3% IS 0.15, 2% IS 0.10, 1% IS 0.05
$
$     COVD(I,J) = SDEV(I)*SDEV(J)*P(I,J)
$
$         SDEV = STANDARD DEVIATION OF INPUT
$         P(I,J) = CORRELATION COEFFICIENT
$                = 0.0 FOR UNCORRELATED
$                = 1.0 FOR FULLY CORRELATED
$
$    IN THIS EXAMPLE, DESIGN VARIABLES ARE FULLY CORRELATED
$
DMI,COVD,0,1,1,0,,10,10
DMI,COVD,1,1,0.0025,0.005,0.0075,0.01,0.0125,+CV1
+CV1,0.015,0.0175,0.02,0.0225,0.025
DMI,COVD,2,1,0.005,0.01,0.0150,0.02,0.025,+CV2
+CV2,0.030,0.035,0.040,0.045,0.050
DMI,COVD,3,1,0.0075,0.015,0.0225,0.030,0.0375,+CV3
+CV3,0.045,0.0525,0.060,0.0675,0.075
DMI,COVD,4,1,0.010,0.020,0.030,0.040,0.050,+CV4
+CV4,0.060,0.070,0.080,0.090,0.10
DMI,COVD,5,1,0.0125,0.025,0.0375,0.05,0.0625,+CV5
+CV5,0.075,0.0875,0.10,0.1125,0.125
DMI,COVD,6,1,0.015,0.03,0.045,0.06,0.075,+CV6
+CV6,0.09,0.105,0.12,0.135,0.15
DMI,COVD,7,1,0.0175,0.035,0.0525,0.07,0.0875,+CV7
+CV7,0.105,0.1225,0.14,0.1575,0.175
DMI,COVD,8,1,0.020,0.040,0.060,0.080,0.10,+CV8
+CV8,0.12,0.14,0.16,0.18,0.20
DMI,COVD,9,1,0.0225,0.045,0.0675,0.09,0.1125,+CV9
+CV9,0.135,0.1575,0.18,0.2025,0.225
DMI,COVD,10,1,0.025,0.05,0.075,0.1,0.125,+CV10
+CV10,0.15,0.175,0.2,0.225,0.25
$
$-------------------------------------------------------------------------
$
$  DESIGN OPTIMIZATION INPUT
$
$  EXIT AFTER SENSITIVITY ANALYSIS
$
PARAM,OPTEXIT,4
$
$  SET PARAMETER TO PERFORM DATA RECOVERY AT ALL DESIGN CYCLES
$
PARAM,NASPRT,1
$
$  RETAIN ALL RESPONSES
$
DSCREEN,DISP,-1.0E7,1000
DSCREEN,STRESS,-1.0E7,1000
$
$  DEFINE OBJECTIVE FUNCTION
$
DRESP1,11,WEIGHT,WEIGHT
$
$  DEFINE RESPONSES:  WEIGHT, DISPLS, STRESS
$
DRESP1,101,X1,DISP,,,1,,1
DRESP1,102,X2,DISP,,,1,,2
DRESP1,103,X3,DISP,,,1,,3
DRESP1,104,X4,DISP,,,1,,4
DRESP1,201,Y1,DISP,,,2,,1
DRESP1,202,Y2,DISP,,,2,,2
DRESP1,203,Y3,DISP,,,2,,3
DRESP1,204,Y4,DISP,,,2,,4
DRESP1,301,S1,STRESS,PROD,,2,,1
DRESP1,302,S2,STRESS,PROD,,2,,2
DRESP1,303,S3,STRESS,PROD,,2,,3
DRESP1,304,S4,STRESS,PROD,,2,,4
DRESP1,305,S5,STRESS,PROD,,2,,5
DRESP1,306,S6,STRESS,PROD,,2,,6
DRESP1,307,S7,STRESS,PROD,,2,,7
DRESP1,308,S8,STRESS,PROD,,2,,8
DRESP1,309,S9,STRESS,PROD,,2,,9
DRESP1,310,S10,STRESS,PROD,,2,,10
$
$  STRESS CONSTRAINTS
$
dconstr,1,301,-3000.,3000.
dconstr,1,302,-3000.,3000.
dconstr,1,303,-3000.,3000.
dconstr,1,304,-3000.,3000.
dconstr,1,305,-3000.,3000.
dconstr,1,306,-3000.,3000.
dconstr,1,307,-3000.,3000.
dconstr,1,308,-3000.,3000.
dconstr,1,309,-3000.,3000.
dconstr,1,310,-3000.,3000.
$
$  DISPLACEMENT CONSTRAINTS
$
dconstr,1,101,-1.0,1.0
dconstr,1,102,-1.0,1.0
dconstr,1,103,-1.0,1.0
dconstr,1,104,-1.0,1.0
dconstr,1,201,-1.0,1.0
dconstr,1,202,-1.0,1.0
dconstr,1,203,-1.0,1.0
dconstr,1,204,-1.0,1.0
$
$  SIZING DESIGN VARIABLES:  ROD AREAS
$
DESVAR,1,A1,5.0,0.01,10.0
DESVAR,2,A2,5.0,0.01,10.0
DESVAR,3,A3,5.0,0.01,10.0
DESVAR,4,A4,5.0,0.01,10.0
DESVAR,5,A5,5.0,0.01,10.0
DESVAR,6,A6,5.0,0.01,10.0
DESVAR,7,A7,5.0,0.01,10.0
DESVAR,8,A8,5.0,0.01,10.0
DESVAR,9,A9,5.0,0.01,10.0
DESVAR,10,A10,5.0,0.01,10.0
$
$  RELATE SIZING DESIGN VARIABLES TO PROPERTIES
$
DVPREL1,1,PROD,1,4,,,,,+DV1
+DV1,1,1.0
DVPREL1,2,PROD,2,4,,,,,+DV2
+DV2,2,1.0
DVPREL1,3,PROD,3,4,,,,,+DV3
+DV3,3,1.0
DVPREL1,4,PROD,4,4,,,,,+DV4
+DV4,4,1.0
DVPREL1,5,PROD,5,4,,,,,+DV5
+DV5,5,1.0
DVPREL1,6,PROD,6,4,,,,,+DV6
+DV6,6,1.0
DVPREL1,7,PROD,7,4,,,,,+DV7
+DV7,7,1.0
DVPREL1,8,PROD,8,4,,,,,+DV8
+DV8,8,1.0
DVPREL1,9,PROD,9,4,,,,,+DV9
+DV9,9,1.0
DVPREL1,10,PROD,10,4,,,,,+DV10
+DV10,10,1.0
$
ENDDATA