*HEADING
**
** ABAQUS INPUT FILE UPGRADE: This input file was upgraded from
** version 5.8 or later to version 6.3 with 0 warning(s) and 0 
** error(s).
** 
**
: RANDOM RESPONSE PROCEDURE FOR CLOADS AND DLOADS
**
**  THIS INPUT FILE TESTS:
**    1) CORRELATED AND UNCORRELATED FORCE LOADINGS
**    2) MULTIPLE *PSD-DEFINITION AND
**       *CORRELATION OPTIONS       
**    3) MULTIPLE LOAD CASES 
**    4) LOAD CASE NUMBERING
**
**  PROBLEM: CANTILEVER BEAM 
**    1) TWO B21 ELEMENTS OF UNIT LENGTH ALIGNED HORIZONTALLY
**    2) DLOAD APPLIED TO ELEMENT 20 (CLOSEST TO FIXED END)
**    3) TRANSVERSE CLOADS APPLIED TO FREE NODES
**    3) WHITE NOISE POWER SPECTRAL DENSITIES
**    4) TWO MODE SHAPES USED IN RANDOM RESPONSE
**
**  RESULTS: AGREE WITH HAND CALCULATIONS
**    1) RESULTS FROM STEP 2 AND STEP 4 SHOULD BE THE SAME
**       (TESTS LOAD CASE NUMBERING)
**    2) RESULTS FROM STEP 3 AND STEP 5 SHOULD BE THE SAME
**       (TESTS LOAD CASE NUMBERING)
**
*NODE,NSET=ALL
10, 0.,0.,
20,10.,0.,
30,20.,0.,
*NSET, NSET=N1
30, 
*NSET, NSET=N2
20, 
*ELEMENT,ELSET=ALL,TYPE=B21
10,10,20
20,20,30
*ELSET, ELSET=E1
10, 
*BEAM SECTION,SECTION=RECT,ELSET=ALL,MATERIAL=STEEL
1.,1.
*MATERIAL,NAME=STEEL
*ELASTIC
30.E6,0.3
*DENSITY
0.283,
*BOUNDARY
10,ENCASTRE
*PSD-DEFINITION,NAME=WHITE1
1.E4,0.,0.
1.E4,0.,3000.
*PSD-DEFINITION,NAME=WHITE2
2.E4,0.,0.
2.E4,0.,3000.
*STEP
***
   STEP 1: FREQUENCY STEP
***
*FREQUENCY, eigensolver=lanczos
2, , 
*NODE PRINT,FREQ=1
U, 
*EL PRINT,FREQ=0
*NODE FILE,FREQ=0
*EL FILE,FREQ=0
*MODAL FILE
*ENDSTEP
*STEP
***
   STEP 2: DLOAD WITH CORRELATED CLOADS
***
*RANDOM RESPONSE
1,25,10,5,1
*modal damping, modal=direct
1,2,0.01
*select eigenmodes, generate
1, 2
*CORRELATION,PSD=WHITE1,COMPLEX=YES,TYPE=CORRELATED
1,1.,1.
2,2.,2.
*CORRELATION,PSD=WHITE2,COMPLEX=YES,TYPE=CORRELATED
1,1.,1.
2,2.,2.
*DLOAD
E1,P2,4.
*CLOAD,LOAD CASE=2
N1,2,-1.
N2,2,-2.
**
*EL PRINT
S,
SF,
*EL FILE,ELSET=ALL
S,
SF,
*NODE PRINT,NSET=ALL
U,
*NODE FILE,NSET=ALL
U,
*ENDSTEP
*STEP
***
   STEP 3: UNCORRELATED LOADING
***
*RANDOM RESPONSE
1,25,10,5,1
*modal damping, modal=direct
1,2,0.01
*select eigenmodes, generate
1, 2
*CORRELATION,PSD=WHITE1,COMPLEX=YES,TYPE=UNCORRELATED
1,1.,1.
2,2.,2.
*CORRELATION,PSD=WHITE2,COMPLEX=YES,TYPE=UNCORRELATED
1,1.,1.
2,2.,2.
*DLOAD
E1,P2,4.
*CLOAD,LOAD CASE=2
20,2,-2.
30,2,-1.
**
*EL PRINT
S,
SF,
*EL FILE,ELSET=ALL
S,
SF,
*NODE PRINT,NSET=ALL
U,
*NODE FILE,NSET=ALL
U,
*ENDSTEP
*STEP
***
   STEP 4: DLOAD WITH CORRELATED CLOADS AND DIFFERENT LOAD CASE NUMBER
***
*RANDOM RESPONSE
1,25,10,5,1
*modal damping, modal=direct
1,2,0.01
*select eigenmodes, generate
1, 2
*CORRELATION,PSD=WHITE1,COMPLEX=YES,TYPE=CORRELATED
1,1.,1.
2000,2.,2.
*CORRELATION,PSD=WHITE2,COMPLEX=YES,TYPE=CORRELATED
1,1.,1.
2000,2.,2.
*DLOAD
E1,P2,4.
*CLOAD,LOAD CASE=2000
N1,2,-1.
N2,2,-2.
**
*EL PRINT
S,
SF,
*EL FILE,ELSET=ALL
S,
SF,
*NODE PRINT,NSET=ALL
U,
*NODE FILE,NSET=ALL
U,
*ENDSTEP
*STEP
***
   STEP 5: UNCORRELATED LOADING WITH DIFFERENT LOAD CASE NUMBER
***
*RANDOM RESPONSE
1,25,10,5,1
*modal damping, modal=direct
1,2,0.01
*select eigenmodes, generate
1, 2
*CORRELATION,PSD=WHITE1,COMPLEX=YES,TYPE=UNCORRELATED
1,1.,1.
2000,2.,2.
*CORRELATION,PSD=WHITE2,COMPLEX=YES,TYPE=UNCORRELATED
1,1.,1.
2000,2.,2.
*DLOAD
E1,P2,4.
*CLOAD,LOAD CASE=2000
20,2,-2.
30,2,-1.
**
*EL PRINT
S,
SF,
*EL FILE,ELSET=ALL
S,
SF,
*NODE PRINT,NSET=ALL
U,
*NODE FILE,NSET=ALL
U,
*ENDSTEP