$ ID TRUSS, DESOPT
ID TRUSS, COV1
diag 8,15
$
SOL 200
$
INCLUDE 'SSSALTERDIR:cova.alt'
$
CEND
TITLE =    TRUSS EXAMPLE FOR SIZING OPTIMIZATION               COV1
SUBTITLE =     DIFFERENT VARIANCES
DISPLACEMENT = ALL
OLOAD = ALL
STRESS = ALL
SPC   = 1
$
analysis = statics
desobj = 100
$
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
$
$   IN THIS EXAMPLE, STD. DEVS. RANGE FROM 1 TO 10%
$    PROD(I) HAS STD. DEV. OF I% (I.E., 1 = 1%, 2 = 2%, ETC.)
$
$    EACH ROD AREA = 5.0, SO:
$      10% IS 0.5; VARIANCE IS (STD. DEV.)**2, OR 0.5**2 = 0.25
$       9% IS 0.45; VAR. = 0.2025
$       8% IS 0.4; VAR. = 0.16
$       7% IS 0.35; VAR. = 0.1125
$       6% IS 0.3; VAR. = 0.09
$       5% IS 0.25; VAR. = 0.0625
$       4% IS 0.2; VAR. = 0.04
$       3% IS 0.15; VAR. = 0.0225
$       2% IS 0.10; VAR. = 0.01
$       1% IS 0.05; VAR. = 0.0025
$
DMI,COVD,0,1,1,0,,10,10
DMI,COVD,1,1,0.0025
DMI,COVD,2,2,0.01
DMI,COVD,3,3,0.0225
DMI,COVD,4,4,0.04
DMI,COVD,5,5,0.0625
DMI,COVD,6,6,0.09
DMI,COVD,7,7,0.1125
DMI,COVD,8,8,0.16
DMI,COVD,9,9,0.2025
DMI,COVD,10,10,0.25
$
$-------------------------------------------------------------------------
$
$  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
$
dresp1,100,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