Example 1 InputFile: 2D soil column subjected to earthquake base excitation

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#   unit. meter, K-N, K-Pa,K-Kg 

set h G
set g  -9.8
model basic -ndm 2 -ndf 2


#-----------------------------------------------------
# Nodes Definition
#-----------------------------------------------------

node    1          272.9     -43.426  -mass             0             0
node    2          272.9     -38.728  -mass             0             0
node    3          272.9     -34.031  -mass             0             0
node    4          272.9     -29.334  -mass             0             0
node    5          272.9     -24.636  -mass             0             0
node    6          272.9     -19.939  -mass             0             0
node    7          272.9     -15.242  -mass             0             0
node    8          272.9     -11.813  -mass             0             0
node    9          272.9     -8.3835  -mass             0             0
node    10         272.9     -4.9543  -mass             0             0
node    11         272.9     -1.5252  -mass             0             0
node    12         272.9       1.904  -mass             0             0
node    13         272.9      5.3331  -mass             0             0
node    14         272.9      8.7623  -mass             0             0
node    15         272.9      12.191  -mass             0             0
node    16         272.9      14.096  -mass             0             0
node    17         272.9      16.001  -mass             0             0
node    18         272.9      17.905  -mass             0             0
node    19         272.9       19.81  -mass             0             0
node    20         272.9      20.877  -mass             0             0
node    21         272.9      21.945  -mass             0             0
node    22         272.9      22.402  -mass             0             0
node    23         272.9      22.859  -mass             0             0
node    24         272.9      24.459  -mass             0             0
node    25         272.9      26.059  -mass             0             0
node    26         272.9      27.659  -mass             0             0
node    27         272.9      29.259  -mass             0             0
node    28         272.9      29.602  -mass             0             0
node    29         272.9      29.945  -mass             0             0
node    30        267.27     -43.426  -mass             0             0
node    31        267.27     -38.728  -mass             0             0
node    32        267.27     -34.031  -mass             0             0
node    33        267.27     -29.334  -mass             0             0
node    34        267.27     -24.636  -mass             0             0
node    35        267.27     -19.939  -mass             0             0
node    36        267.27     -15.242  -mass             0             0
node    37        267.27     -11.813  -mass             0             0
node    38        267.27     -8.3835  -mass             0             0
node    39        267.27     -4.9543  -mass             0             0
node    40        267.27     -1.5252  -mass             0             0
node    41        267.27       1.904  -mass             0             0
node    42        267.27      5.3331  -mass             0             0
node    43        267.27      8.7623  -mass             0             0
node    44        267.27      12.191  -mass             0             0
node    45        267.27      14.096  -mass             0             0
node    46        267.27      16.001  -mass             0             0
node    47        267.27      17.905  -mass             0             0
node    48        267.27       19.81  -mass             0             0
node    49        267.27      20.877  -mass             0             0
node    50        267.27      21.945  -mass             0             0
node    51        267.27      22.402  -mass             0             0
node    52        267.27      22.859  -mass             0             0
node    53        267.27      24.432  -mass             0             0
node    54        267.27      26.012  -mass             0             0
node    55        267.27      27.593  -mass             0             0
node    56        267.27      29.166  -mass             0             0
node    57        267.27      29.497  -mass             0             0
node    58        267.27      29.828  -mass             0             0

#                                          massDen    G       B       cohension  PeakShearStrain
nDMaterial MultiYieldSurfaceClay      1 2  0.0      54450	1.6e5     33.           .1          
nDMaterial MultiYieldSurfaceClay      2 2  0.0      33800	1.0e5     26.           .1          
nDMaterial MultiYieldSurfaceClay      3 2  0.0      96800	2.9e5     44.           .1          
nDMaterial MultiYieldSurfaceClay      4 2  0.0      61250	1.8e5     35.           .1          
nDMaterial MultiYieldSurfaceClay      5 2  0.0      180000	5.4e5     60.           .1          
nDMaterial MultiYieldSurfaceClay      6 2  0.0      369800	1.1e6     86.           .1          

#-----------------------------------------------------
# Soil Elememets Definition
#-----------------------------------------------------
#                                                   thick    material   Mat  Press  mDensity   gravity

element quadWithSensitivity   1    57  28  29  58 6.0957 "PlaneStrain" 1    0       2.0       0 $g
element quadWithSensitivity   2    56  27  28  57 6.0957 "PlaneStrain" 1    0       2.0       0 $g
element quadWithSensitivity   3    55  26  27  56 6.0957 "PlaneStrain" 2    0       2.0       0 $g
element quadWithSensitivity   4    54  25  26  55 6.0957 "PlaneStrain" 2    0       2.0       0 $g
element quadWithSensitivity   5    53  24  25  54 6.0957 "PlaneStrain" 2    0       2.0       0 $g
element quadWithSensitivity   6    52  23  24  53 6.0957 "PlaneStrain" 2    0       2.0       0 $g
element quadWithSensitivity   7    51  22  23  52 6.0957 "PlaneStrain" 3    0       2.0       0 $g
element quadWithSensitivity   8    50  21  22  51 6.0957 "PlaneStrain" 3    0       2.0       0 $g
element quadWithSensitivity   14   15  16  45  44 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   13   16  17  46  45 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   12   17  18  47  46 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   11   18  19  48  47 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   10   19  20  49  48 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   9    20  21  50  49 6.0957 "PlaneStrain" 4    0       2.0       0 $g
element quadWithSensitivity   15   44  43  14  15 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   16   43  42  13  14 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   17   42  41  12  13 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   18   41  40  11  12 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   19   40  39  10  11 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   20   39  38   9  10 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   21   38  37   8   9 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   22   37  36   7   8 6.0957 "PlaneStrain" 5    0       2.0       0 $g
element quadWithSensitivity   23   36  35   6   7 6.0957 "PlaneStrain" 6    0       2.0       0 $g
element quadWithSensitivity   24   35  34   5   6 6.0957 "PlaneStrain" 6    0       2.0       0 $g
element quadWithSensitivity   25   34  33   4   5 6.0957 "PlaneStrain" 6    0       2.0       0 $g
element quadWithSensitivity   26   33  32   3   4 6.0957 "PlaneStrain" 6    0       2.0       0 $g
element quadWithSensitivity   27   32  31   2   3 6.0957 "PlaneStrain" 6    0       2.0       0 $g
element quadWithSensitivity   28   31  30   1   2 6.0957 "PlaneStrain" 6    0       2.0       0 $g

fix    1   1    1
fix   30   1    1

equalDOF 29 58 1 2
equalDOF 28 57 1 2
equalDOF 27 56 1 2
equalDOF 26 55 1 2
equalDOF 25 54 1 2
equalDOF 24 53 1 2
equalDOF 23 52 1 2
equalDOF 22 51 1 2
equalDOF 21 50 1 2
equalDOF 20 49 1 2
equalDOF 19 48 1 2
equalDOF 18 47 1 2
equalDOF 17 46 1 2
equalDOF 16 45 1 2
equalDOF 15 44 1 2
equalDOF 14 43 1 2
equalDOF 13 42 1 2
equalDOF 12 41 1 2
equalDOF 11 40 1 2
equalDOF 10 39 1 2
equalDOF  9 38 1 2
equalDOF  8 37 1 2
equalDOF  7 36 1 2
equalDOF  6 35 1 2
equalDOF  5 34 1 2
equalDOF  4 33 1 2
equalDOF  3 32 1 2
equalDOF  2 31 1 2

# ------------------------- add sensitivity ------------------------
reliability

set h G   

# --- G1 ---
parameter         1 -element 1 -material $h
addToParameter    1 -element 2 -material $h 

# --- G2 ---
parameter      2 -element 3 -material $h       
addToParameter 2 -element 4 -material $h      
addToParameter 2 -element 5 -material $h      
addToParameter 2 -element 6 -material $h      

# --- G3 ---
parameter      3 -element 7 -material $h        
addToParameter 3 -element 8 -material $h       

# --- G4 ---

parameter      4 -element  9 -material $h       
addToParameter 4 -element 10 -material $h      
addToParameter 4 -element 11 -material $h      
addToParameter 4 -element 12 -material $h      
addToParameter 4 -element 13 -material $h      
addToParameter 4 -element 14 -material $h  

# --- G5 ----- 
parameter      5 -element 15 -material $h        
addToParameter 5 -element 16 -material $h       
addToParameter 5 -element 17 -material $h       
addToParameter 5 -element 18 -material $h       
addToParameter 5 -element 19 -material $h       
addToParameter 5 -element 20 -material $h       
addToParameter 5 -element 21 -material $h       
addToParameter 5 -element 22 -material $h       

# ---- G6 -----
parameter      6 -element 23 -material $h      
addToParameter 6 -element 24 -material $h      
addToParameter 6 -element 25 -material $h      
addToParameter 6 -element 26 -material $h      
addToParameter 6 -element 27 -material $h      
addToParameter 6 -element 28 -material $h      

# -----
set h cohesion

# ---- h7 --------
parameter      7 -element 1 -material $h	         
addToParameter 7 -element 2 -material $h	        

# ---- h8 --------
parameter      8 -element 3 -material $h	        
addToParameter 8 -element 4 -material $h	        
addToParameter 8 -element 5 -material $h	        
addToParameter 8 -element 6 -material $h	        

# ---- h9 --------
parameter      9 -element 7 -material $h	 
addToParameter 9 -element 8 -material $h	 

# ---- h10 --------
parameter      10 -element  9 -material $h       
addToParameter 10 -element 10 -material $h       
addToParameter 10 -element 11 -material $h       
addToParameter 10 -element 12 -material $h       
addToParameter 10 -element 13 -material $h       
addToParameter 10 -element 14 -material $h       

# ---- h11 --------
parameter      11 -element 15 -material $h          
addToParameter 11 -element 16 -material $h         
addToParameter 11 -element 17 -material $h         
addToParameter 11 -element 18 -material $h         
addToParameter 11 -element 19 -material $h         
addToParameter 11 -element 20 -material $h         
addToParameter 11 -element 21 -material $h         
addToParameter 11 -element 22 -material $h         

# ---- h12 --------
parameter      12 -element 23 -material $h         
addToParameter 12 -element 24 -material $h         
addToParameter 12 -element 25 -material $h         
addToParameter 12 -element 26 -material $h         
addToParameter 12 -element 27 -material $h         
addToParameter 12 -element 28 -material $h         



# -----
set h K

# ------ k13 --------
parameter      13 -element 1 -material $h	    
addToParameter 13 -element 2 -material $h	   

# ------ k14 --------
parameter      14 -element 3 -material $h	   
addToParameter 14 -element 4 -material $h	   
addToParameter 14 -element 5 -material $h	   
addToParameter 14 -element 6 -material $h	   

# ------ k15 --------
parameter      15 -element 7 -material $h	   
addToParameter 15 -element 8 -material $h	   

# ------ k16 --------
parameter      16 -element  9 -material $h         
addToParameter 16 -element 10 -material $h         
addToParameter 16 -element 11 -material $h         
addToParameter 16 -element 12 -material $h         
addToParameter 16 -element 13 -material $h         
addToParameter 16 -element 14 -material $h         

# ------ k17 --------
parameter      17 -element 15 -material $h         
addToParameter 17 -element 16 -material $h         
addToParameter 17 -element 17 -material $h         
addToParameter 17 -element 18 -material $h         
addToParameter 17 -element 19 -material $h         
addToParameter 17 -element 20 -material $h         
addToParameter 17 -element 21 -material $h         
addToParameter 17 -element 22 -material $h         

# ------ k18 --------
parameter      18 -element 23 -material $h          
addToParameter 18 -element 24 -material $h         
addToParameter 18 -element 25 -material $h         
addToParameter 18 -element 26 -material $h         
addToParameter 18 -element 27 -material $h         
addToParameter 18 -element 28 -material $h         



# ------------------------ recorder ----------------------------------
recorder Node -file disp29.out  -time -node 29  -precision 16  -dof 1 disp
recorder Node -file disp27.out  -time -node 27  -dof 1 disp
recorder Node -file disp23.out  -time -node 23  -dof 1 disp
recorder Node -file disp21.out  -time -node 21  -dof 1 disp
recorder Node -file disp15.out  -time -node 15  -dof 1 disp
recorder Node -file  disp7.out  -time -node  7  -dof 1 disp

recorder Node -file ddm29G1.out  -time -node 29  -dof 1 -precision 16 "sensitivity 1"
recorder Node -file ddm27G1.out  -time -node 27  -dof 1 "sensitivity 1"
recorder Node -file ddm23G1.out  -time -node 23  -dof 1 "sensitivity 1"
recorder Node -file ddm21G1.out  -time -node 21  -dof 1 "sensitivity 1"
recorder Node -file ddm15G1.out  -time -node 15  -dof 1 "sensitivity 1"
recorder Node -file ddm7G1.out   -time -node  7  -dof 1 "sensitivity 1"

recorder Node -file ddm29G2.out  -time -node 29  -dof 1 "sensitivity 2"
recorder Node -file ddm27G2.out  -time -node 27  -dof 1 "sensitivity 2"
recorder Node -file ddm23G2.out  -time -node 23  -dof 1 "sensitivity 2"
recorder Node -file ddm21G2.out  -time -node 21  -dof 1 "sensitivity 2"
recorder Node -file ddm15G2.out  -time -node 15  -dof 1 "sensitivity 2"
recorder Node -file  ddm7G2.out  -time -node  7  -dof 1 "sensitivity 2"

recorder Node -file ddm29G3.out  -time -node 29  -dof 1 "sensitivity 3"
recorder Node -file ddm27G3.out  -time -node 27  -dof 1 "sensitivity 3"
recorder Node -file ddm23G3.out  -time -node 23  -dof 1 "sensitivity 3"
recorder Node -file ddm21G3.out  -time -node 21  -dof 1 "sensitivity 3"
recorder Node -file ddm15G3.out  -time -node 15  -dof 1 "sensitivity 3"
recorder Node -file  ddm7G3.out  -time -node  7  -dof 1 "sensitivity 3"

recorder Node -file ddm29G4.out  -time -node 29  -dof 1 "sensitivity 4"
recorder Node -file ddm27G4.out  -time -node 27  -dof 1 "sensitivity 4"
recorder Node -file ddm23G4.out  -time -node 23  -dof 1 "sensitivity 4"
recorder Node -file ddm21G4.out  -time -node 21  -dof 1 "sensitivity 4"
recorder Node -file ddm15G4.out  -time -node 15  -dof 1 "sensitivity 4"
recorder Node -file  ddm7G4.out  -time -node  7  -dof 1 "sensitivity 4"

recorder Node -file ddm29G5.out  -time -node 29  -dof 1 "sensitivity 5"
recorder Node -file ddm27G5.out  -time -node 27  -dof 1 "sensitivity 5"
recorder Node -file ddm23G5.out  -time -node 23  -dof 1 "sensitivity 5"
recorder Node -file ddm21G5.out  -time -node 21  -dof 1 "sensitivity 5"
recorder Node -file ddm15G5.out  -time -node 15  -dof 1 "sensitivity 5"
recorder Node -file  ddm7G5.out  -time -node  7  -dof 1 "sensitivity 5"

recorder Node -file ddm29G6.out  -time -node 29  -dof 1 "sensitivity 6"
recorder Node -file ddm27G6.out  -time -node 27  -dof 1 "sensitivity 6"
recorder Node -file ddm23G6.out  -time -node 23  -dof 1 "sensitivity 6"
recorder Node -file ddm21G6.out  -time -node 21  -dof 1 "sensitivity 6"
recorder Node -file ddm15G6.out  -time -node 15  -dof 1 "sensitivity 6"
recorder Node -file  ddm7G6.out  -time -node  7  -dof 1 "sensitivity 6"

##
recorder Node -file ddm29t1.out  -time -node 29  -dof 1 "sensitivity 7"
recorder Node -file ddm27t1.out  -time -node 27  -dof 1 "sensitivity 7"
recorder Node -file ddm23t1.out  -time -node 23  -dof 1 "sensitivity 7"
recorder Node -file ddm21t1.out  -time -node 21  -dof 1 "sensitivity 7"
recorder Node -file ddm15t1.out  -time -node 15  -dof 1 "sensitivity 7"
recorder Node -file  ddm7t1.out  -time -node  7  -dof 1 "sensitivity 7"

recorder Node -file ddm29t2.out  -time -node 29  -dof 1 "sensitivity 8"
recorder Node -file ddm27t2.out  -time -node 27  -dof 1 "sensitivity 8"
recorder Node -file ddm23t2.out  -time -node 23  -dof 1 "sensitivity 8"
recorder Node -file ddm21t2.out  -time -node 21  -dof 1 "sensitivity 8"
recorder Node -file ddm15t2.out  -time -node 15  -dof 1 "sensitivity 8"
recorder Node -file  ddm7t2.out  -time -node  7  -dof 1 "sensitivity 8"

recorder Node -file ddm29t3.out  -time -node 29  -dof 1 "sensitivity 9"
recorder Node -file ddm27t3.out  -time -node 27  -dof 1 "sensitivity 9"
recorder Node -file ddm23t3.out  -time -node 23  -dof 1 "sensitivity 9"
recorder Node -file ddm21t3.out  -time -node 21  -dof 1 "sensitivity 9"
recorder Node -file ddm15t3.out  -time -node 15  -dof 1 "sensitivity 9"
recorder Node -file  ddm7t3.out  -time -node  7  -dof 1 "sensitivity 9"

recorder Node -file ddm29t4.out  -time -node 29  -dof 1 "sensitivity 10"
recorder Node -file ddm27t4.out  -time -node 27  -dof 1 "sensitivity 10"
recorder Node -file ddm23t4.out  -time -node 23  -dof 1 "sensitivity 10"
recorder Node -file ddm21t4.out  -time -node 21  -dof 1 "sensitivity 10"
recorder Node -file ddm15t4.out  -time -node 15  -dof 1 "sensitivity 10"
recorder Node -file  ddm7t4.out  -time -node  7  -dof 1 "sensitivity 10"

recorder Node -file ddm29t5.out  -time -node 29  -dof 1 "sensitivity 11"
recorder Node -file ddm27t5.out  -time -node 27  -dof 1 "sensitivity 11"
recorder Node -file ddm23t5.out  -time -node 23  -dof 1 "sensitivity 11"
recorder Node -file ddm21t5.out  -time -node 21  -dof 1 "sensitivity 11"
recorder Node -file ddm15t5.out  -time -node 15  -dof 1 "sensitivity 11"
recorder Node -file  ddm7t5.out  -time -node  7  -dof 1 "sensitivity 11"

recorder Node -file ddm29t6.out  -time -node 29  -dof 1 "sensitivity 12"
recorder Node -file ddm27t6.out  -time -node 27  -dof 1 "sensitivity 12"
recorder Node -file ddm23t6.out  -time -node 23  -dof 1 "sensitivity 12"
recorder Node -file ddm21t6.out  -time -node 21  -dof 1 "sensitivity 12"
recorder Node -file ddm15t6.out  -time -node 15  -dof 1 "sensitivity 12"
recorder Node -file  ddm7t6.out  -time -node  7  -dof 1 "sensitivity 12"

# ----
recorder Node -file  ddm29k1.out  -time -node  29  -dof 1 "sensitivity 13"
recorder Node -file  ddm29k2.out  -time -node  29  -dof 1 "sensitivity 14"
recorder Node -file  ddm29k3.out  -time -node  29  -dof 1 "sensitivity 15"
recorder Node -file  ddm29k4.out  -time -node  29  -dof 1 "sensitivity 16"
recorder Node -file  ddm29k5.out  -time -node  29  -dof 1 "sensitivity 17"
recorder Node -file  ddm29k6.out  -time -node  29  -dof 1 "sensitivity 18"

#-----
recorder Element -element 1 -time -file stress1.out material 1 stress -dT 0.01
recorder Element -element 1 -time -file strain1.out material 1 strain -dT 0.01
recorder Element -element 15 -time -file stress15.out material 1 stress -dT 0.01
recorder Element -element 15 -time -file strain15.out material 1 strain -dT 0.01
recorder Element -element 22 -time -file stress22.out material 1 stress -dT 0.01
recorder Element -element 22 -time -file strain22.out material 1 strain -dT 0.01
recorder Element -element 28 -time -file stress28.out material 1 stress -dT 0.01
recorder Element -element 28 -time -file strain28.out material 1 strain -dT 0.01


#--------------------------------------------------------
# Soil Gravity Analysis Model Definition
#--------------------------------------------------------
system BandGeneral
test NormDispIncr 1.E-12 50 2
constraints Transformation
integrator LoadControl 1 1 1 1
algorithm Newton
numberer RCM

# ---------------- add sensitivity ---------------------
sensitivityIntegrator -static
sensitivityAlgorithm -computeAtEachStep

analysis Static
analyze 1

puts "soil gravity nonlinear analysis completed ..."

wipeAnalysis

constraints Transformation
test NormDispIncr 1.E-12 50  2
algorithm Newton
numberer RCM
system BandGeneral

integrator NewmarkWithSensitivity  0.55 0.2756  
sensitivityIntegrator -definedAbove
sensitivityAlgorithm -computeAtEachStep
analysis Transient

pattern UniformExcitation    1     1    -accel "Series -factor 1 -filePath acce.txt -dt 0.01"

set startT [clock seconds]
analyze 1000 0.01
set endT [clock seconds]
puts "Execution time: [expr $endT-$startT] seconds."