Laplace Domain to Time Domain

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Laplace Domain to Time Domain Powered By Docstoc
					                                    LAPLACE TO TIME DOMAIN CONVERTER

Transfer Function
     Y(s)                n1s + n2                             y(t)
                     2
     X(s)           s + d1s + d2      1
                                     0.9

     n1 =                            0.8
     n2 =                            0.7
                                     0.6
     d1 =
     d2 =                            0.5
                                     0.4
                                     0.3
Range:
Max Time                 10          0.2
                                     0.1
                                      0
                                           0    2       4        6
8   10   12
x          f(x)       y            y'          y"       ToPlot       py
       0          1            0           0        1            0
    0.04          1       0.0008        0.04        1            0
    0.08          1       0.0032        0.08        1            0
    0.12          1       0.0072        0.12        1            0
    0.16          1       0.0128        0.16        1            0        0.0128
     0.2          1         0.02         0.2        1            0          0.02
    0.24          1        0.029        0.24        1            0        0.0288
    0.28          1        0.039        0.28        1            0        0.0394
    0.32          1        0.051        0.32        1            0         0.051
    0.36          1        0.065        0.36        1            0        0.0646
     0.4          1         0.08         0.4        1            0        0.0802
    0.44          1        0.097        0.44        1            0        0.0968
    0.48          1        0.115        0.48        1            0        0.1154
    0.52          1        0.135        0.52        1            0         0.135
    0.56          1        0.157        0.56        1            0        0.1566
     0.6          1         0.18         0.6        1            0        0.1802
    0.64          1        0.205        0.64        1            0        0.2048
    0.68          1        0.231        0.68        1            0        0.2314
    0.72          1        0.259        0.72        1            0         0.259
    0.76          1        0.289        0.76        1            0        0.2886
     0.8          1         0.32         0.8        1            0        0.3202
    0.84          1        0.353        0.84        1            0        0.3528
    0.88          1        0.387        0.88        1            0        0.3874
    0.92          1        0.423        0.92        1            0         0.423
    0.96          1        0.461        0.96        1            0        0.4606
       1          1          0.5           1        1            0        0.5002
    1.04          1        0.541        1.04        1            0        0.5408
    1.08          1        0.583        1.08        1            0        0.5834
    1.12          1        0.627        1.12        1            0         0.627
    1.16          1        0.673        1.16        1            0        0.6726
     1.2          1         0.72         1.2        1            0        0.7202
    1.24          1        0.769        1.24        1            0        0.7688
    1.28          1        0.819        1.28        1            0        0.8194
    1.32          1        0.871        1.32        1            0         0.871
    1.36          1        0.925        1.36        1            0        0.9246
     1.4          1         0.98         1.4        1            0        0.9802
    1.44          1        1.037        1.44        1            0        1.0368
    1.48          1        1.095        1.48        1            0        1.0954
    1.52          1        1.155        1.52        1            0         1.155
    1.56          1        1.217        1.56        1            0        1.2166
     1.6          1         1.28         1.6        1            0        1.2802
    1.64          1        1.345        1.64        1            0        1.3448
    1.68          1        1.411        1.68        1            0        1.4114
    1.72          1        1.479        1.72        1            0         1.479
    1.76          1        1.549        1.76        1            0        1.5486
     1.8          1         1.62         1.8        1            0        1.6202
    1.84          1        1.693        1.84        1            0        1.6928
    1.88          1        1.767        1.88        1            0        1.7674
    1.92          1        1.843        1.92        1            0         1.843
    1.96          1        1.921        1.96        1            0        1.9206
       2          1            2           2        1            0        2.0002
    2.04          1        2.081        2.04        1            0        2.0808
    2.08          1        2.163        2.08        1            0        2.1634
2.12   1   2.247   2.12   1   0    2.247
2.16   1   2.333   2.16   1   0   2.3326
 2.2   1    2.42    2.2   1   0   2.4202
2.24   1   2.509   2.24   1   0   2.5088
2.28   1   2.599   2.28   1   0   2.5994
2.32   1   2.691   2.32   1   0    2.691
2.36   1   2.785   2.36   1   0   2.7846
 2.4   1    2.88    2.4   1   0   2.8802
2.44   1   2.977   2.44   1   0   2.9768
2.48   1   3.075   2.48   1   0   3.0754
2.52   1   3.175   2.52   1   0    3.175
2.56   1   3.277   2.56   1   0   3.2766
 2.6   1    3.38    2.6   1   0   3.3802
2.64   1   3.485   2.64   1   0   3.4848
2.68   1   3.591   2.68   1   0   3.5914
2.72   1   3.699   2.72   1   0    3.699
2.76   1   3.809   2.76   1   0   3.8086
 2.8   1    3.92    2.8   1   0   3.9202
2.84   1   4.033   2.84   1   0   4.0328
2.88   1   4.147   2.88   1   0   4.1474
2.92   1   4.263   2.92   1   0    4.263
2.96   1   4.381   2.96   1   0   4.3806
   3   1     4.5      3   1   0   4.5002
3.04   1   4.621   3.04   1   0   4.6208
3.08   1   4.743   3.08   1   0   4.7434
3.12   1   4.867   3.12   1   0    4.867
3.16   1   4.993   3.16   1   0   4.9926
 3.2   1    5.12    3.2   1   0   5.1202
3.24   1   5.249   3.24   1   0   5.2488
3.28   1   5.379   3.28   1   0   5.3794
3.32   1   5.511   3.32   1   0    5.511
3.36   1   5.645   3.36   1   0   5.6446
 3.4   1    5.78    3.4   1   0   5.7802
3.44   1   5.917   3.44   1   0   5.9168
3.48   1   6.055   3.48   1   0   6.0554
3.52   1   6.195   3.52   1   0    6.195
3.56   1   6.337   3.56   1   0   6.3366
 3.6   1    6.48    3.6   1   0   6.4802
3.64   1   6.625   3.64   1   0   6.6248
3.68   1   6.771   3.68   1   0   6.7714
3.72   1   6.919   3.72   1   0    6.919
3.76   1   7.069   3.76   1   0   7.0686
 3.8   1    7.22    3.8   1   0   7.2202
3.84   1   7.373   3.84   1   0   7.3728
3.88   1   7.527   3.88   1   0   7.5274
3.92   1   7.683   3.92   1   0    7.683
3.96   1   7.841   3.96   1   0   7.8406
   4   1       8      4   1   0   8.0002
4.04   1   8.161   4.04   1   0   8.1608
4.08   1   8.323   4.08   1   0   8.3234
4.12   1   8.487   4.12   1   0    8.487
4.16   1   8.653   4.16   1   0   8.6526
 4.2   1    8.82    4.2   1   0   8.8202
4.24   1   8.989   4.24   1   0   8.9888
4.28   1   9.159   4.28   1   0   9.1594
4.32   1   9.331   4.32   1   0    9.331
4.36   1    9.505   4.36   1   0    9.5046
 4.4   1     9.68    4.4   1   0    9.6802
4.44   1    9.857   4.44   1   0    9.8568
4.48   1   10.035   4.48   1   0   10.0354
4.52   1   10.215   4.52   1   0    10.215
4.56   1   10.397   4.56   1   0   10.3966
 4.6   1    10.58    4.6   1   0   10.5802
4.64   1   10.765   4.64   1   0   10.7648
4.68   1   10.951   4.68   1   0   10.9514
4.72   1   11.139   4.72   1   0    11.139
4.76   1   11.329   4.76   1   0   11.3286
 4.8   1    11.52    4.8   1   0   11.5202
4.84   1   11.713   4.84   1   0   11.7128
4.88   1   11.907   4.88   1   0   11.9074
4.92   1   12.103   4.92   1   0    12.103
4.96   1   12.301   4.96   1   0   12.3006
   5   1     12.5      5   1   0   12.5002
5.04   1   12.701   5.04   1   0   12.7008
5.08   1   12.903   5.08   1   0   12.9034
5.12   1   13.107   5.12   1   0    13.107
5.16   1   13.313   5.16   1   0   13.3126
 5.2   1    13.52    5.2   1   0   13.5202
5.24   1   13.729   5.24   1   0   13.7288
5.28   1   13.939   5.28   1   0   13.9394
5.32   1   14.151   5.32   1   0    14.151
5.36   1   14.365   5.36   1   0   14.3646
 5.4   1    14.58    5.4   1   0   14.5802
5.44   1   14.797   5.44   1   0   14.7968
5.48   1   15.015   5.48   1   0   15.0154
5.52   1   15.235   5.52   1   0    15.235
5.56   1   15.457   5.56   1   0   15.4566
 5.6   1    15.68    5.6   1   0   15.6802
5.64   1   15.905   5.64   1   0   15.9048
5.68   1   16.131   5.68   1   0   16.1314
5.72   1   16.359   5.72   1   0    16.359
5.76   1   16.589   5.76   1   0   16.5886
 5.8   1    16.82    5.8   1   0   16.8202
5.84   1   17.053   5.84   1   0   17.0528
5.88   1   17.287   5.88   1   0   17.2874
5.92   1   17.523   5.92   1   0    17.523
5.96   1   17.761   5.96   1   0   17.7606
   6   1       18      6   1   0   18.0002
6.04   1   18.241   6.04   1   0   18.2408
6.08   1   18.483   6.08   1   0   18.4834
6.12   1   18.727   6.12   1   0    18.727
6.16   1   18.973   6.16   1   0   18.9726
 6.2   1    19.22    6.2   1   0   19.2202
6.24   1   19.469   6.24   1   0   19.4688
6.28   1   19.719   6.28   1   0   19.7194
6.32   1   19.971   6.32   1   0    19.971
6.36   1   20.225   6.36   1   0   20.2246
 6.4   1    20.48    6.4   1   0   20.4802
6.44   1   20.737   6.44   1   0   20.7368
6.48   1   20.995   6.48   1   0   20.9954
6.52   1   21.255   6.52   1   0    21.255
6.56   1   21.517   6.56   1   0   21.5166
 6.6   1    21.78    6.6   1   0   21.7802
6.64   1   22.045   6.64   1   0   22.0448
6.68   1   22.311   6.68   1   0   22.3114
6.72   1   22.579   6.72   1   0    22.579
6.76   1   22.849   6.76   1   0   22.8486
 6.8   1    23.12    6.8   1   0   23.1202
6.84   1   23.393   6.84   1   0   23.3928
6.88   1   23.667   6.88   1   0   23.6674
6.92   1   23.943   6.92   1   0    23.943
6.96   1   24.221   6.96   1   0   24.2206
   7   1     24.5      7   1   0   24.5002
7.04   1   24.781   7.04   1   0   24.7808
7.08   1   25.063   7.08   1   0   25.0634
7.12   1   25.347   7.12   1   0    25.347
7.16   1   25.633   7.16   1   0   25.6326
 7.2   1    25.92    7.2   1   0   25.9202
7.24   1   26.209   7.24   1   0   26.2088
7.28   1   26.499   7.28   1   0   26.4994
7.32   1   26.791   7.32   1   0    26.791
7.36   1   27.085   7.36   1   0   27.0846
 7.4   1    27.38    7.4   1   0   27.3802
7.44   1   27.677   7.44   1   0   27.6768
7.48   1   27.975   7.48   1   0   27.9754
7.52   1   28.275   7.52   1   0    28.275
7.56   1   28.577   7.56   1   0   28.5766
 7.6   1    28.88    7.6   1   0   28.8802
7.64   1   29.185   7.64   1   0   29.1848
7.68   1   29.491   7.68   1   0   29.4914
7.72   1   29.799   7.72   1   0    29.799
7.76   1   30.109   7.76   1   0   30.1086
 7.8   1    30.42    7.8   1   0   30.4202
7.84   1   30.733   7.84   1   0   30.7328
7.88   1   31.047   7.88   1   0   31.0474
7.92   1   31.363   7.92   1   0    31.363
7.96   1   31.681   7.96   1   0   31.6806
   8   1       32      8   1   0   32.0002
8.04   1   32.321   8.04   1   0   32.3208
8.08   1   32.643   8.08   1   0   32.6434
8.12   1   32.967   8.12   1   0    32.967
8.16   1   33.293   8.16   1   0   33.2926
 8.2   1    33.62    8.2   1   0   33.6202
8.24   1   33.949   8.24   1   0   33.9488
8.28   1   34.279   8.28   1   0   34.2794
8.32   1   34.611   8.32   1   0    34.611
8.36   1   34.945   8.36   1   0   34.9446
 8.4   1    35.28    8.4   1   0   35.2802
8.44   1   35.617   8.44   1   0   35.6168
8.48   1   35.955   8.48   1   0   35.9554
8.52   1   36.295   8.52   1   0    36.295
8.56   1   36.637   8.56   1   0   36.6366
 8.6   1    36.98    8.6   1   0   36.9802
8.64   1   37.325   8.64   1   0   37.3248
8.68   1   37.671   8.68   1   0   37.6714
8.72   1   38.019   8.72   1   0    38.019
8.76   1   38.369   8.76   1   0   38.3686
 8.8   1    38.72    8.8   1   0   38.7202
8.84   1   39.073   8.84   1   0   39.0728
8.88   1   39.427   8.88   1   0   39.4274
8.92   1   39.783   8.92   1   0    39.783
8.96   1   40.141   8.96   1   0   40.1406
   9   1     40.5      9   1   0   40.5002
9.04   1   40.861   9.04   1   0   40.8608
9.08   1   41.223   9.08   1   0   41.2234
9.12   1   41.587   9.12   1   0    41.587
9.16   1   41.953   9.16   1   0   41.9526
 9.2   1    42.32    9.2   1   0   42.3202
9.24   1   42.689   9.24   1   0   42.6888
9.28   1   43.059   9.28   1   0   43.0594
9.32   1   43.431   9.32   1   0    43.431
9.36   1   43.805   9.36   1   0   43.8046
 9.4   1    44.18    9.4   1   0   44.1802
9.44   1   44.557   9.44   1   0   44.5568
9.48   1   44.935   9.48   1   0   44.9354
9.52   1   45.315   9.52   1   0    45.315
9.56   1   45.697   9.56   1   0   45.6966
 9.6   1    46.08    9.6   1   0   46.0802
9.64   1   46.465   9.64   1   0   46.4648
9.68   1   46.851   9.68   1   0   46.8514
9.72   1   47.239   9.72   1   0    47.239
9.76   1   47.629   9.76   1   0   47.6286
 9.8   1    48.02    9.8   1   0   48.0202
9.84   1   48.413   9.84   1   0   48.4128
9.88   1   48.807   9.88   1   0   48.8074
9.92   1   49.203   9.92   1   0    49.203
9.96   1   49.601   9.96   1   0   49.6006
  10   1       50     10   1   0   50.0002
pz          pz'       x          f(x)       k1            k2            k3            k4            m1
                             0          1            0         0.0008        0.0008        0.0016        0.04
                          0.02          1
                          0.04          1        0.0016        0.0024        0.0024        0.0032        0.04
                          0.06          1
     0.16         1       0.08          1        0.0032         0.004         0.004        0.0048        0.04
      0.2         1                     1
     0.24         1                     1
     0.28         1
     0.32         1
     0.36         1
      0.4         1
     0.44         1
     0.48         1
     0.52         1
     0.56         1
      0.6         1
     0.64         1
     0.68         1
     0.72         1
     0.76         1
      0.8         1
     0.84         1
     0.88         1
     0.92         1
     0.96         1
        1         1
     1.04         1
     1.08         1
     1.12         1
     1.16         1
      1.2         1
     1.24         1
     1.28         1
     1.32         1
     1.36         1
      1.4         1
     1.44         1
     1.48         1
     1.52         1
     1.56         1
      1.6         1
     1.64         1
     1.68         1
     1.72         1
     1.76         1
      1.8         1
     1.84         1
     1.88         1
     1.92         1
     1.96         1
        2         1
     2.04         1
     2.08         1
2.12   1
2.16   1
 2.2   1
2.24   1
2.28   1
2.32   1
2.36   1
 2.4   1
2.44   1
2.48   1
2.52   1
2.56   1
 2.6   1
2.64   1
2.68   1
2.72   1
2.76   1
 2.8   1
2.84   1
2.88   1
2.92   1
2.96   1
   3   1
3.04   1
3.08   1
3.12   1
3.16   1
 3.2   1
3.24   1
3.28   1
3.32   1
3.36   1
 3.4   1
3.44   1
3.48   1
3.52   1
3.56   1
 3.6   1
3.64   1
3.68   1
3.72   1
3.76   1
 3.8   1
3.84   1
3.88   1
3.92   1
3.96   1
   4   1
4.04   1
4.08   1
4.12   1
4.16   1
 4.2   1
4.24   1
4.28   1
4.32   1
4.36   1
 4.4   1
4.44   1
4.48   1
4.52   1
4.56   1
 4.6   1
4.64   1
4.68   1
4.72   1
4.76   1
 4.8   1
4.84   1
4.88   1
4.92   1
4.96   1
   5   1
5.04   1
5.08   1
5.12   1
5.16   1
 5.2   1
5.24   1
5.28   1
5.32   1
5.36   1
 5.4   1
5.44   1
5.48   1
5.52   1
5.56   1
 5.6   1
5.64   1
5.68   1
5.72   1
5.76   1
 5.8   1
5.84   1
5.88   1
5.92   1
5.96   1
   6   1
6.04   1
6.08   1
6.12   1
6.16   1
 6.2   1
6.24   1
6.28   1
6.32   1
6.36   1
 6.4   1
6.44   1
6.48   1
6.52   1
6.56   1
 6.6   1
6.64   1
6.68   1
6.72   1
6.76   1
 6.8   1
6.84   1
6.88   1
6.92   1
6.96   1
   7   1
7.04   1
7.08   1
7.12   1
7.16   1
 7.2   1
7.24   1
7.28   1
7.32   1
7.36   1
 7.4   1
7.44   1
7.48   1
7.52   1
7.56   1
 7.6   1
7.64   1
7.68   1
7.72   1
7.76   1
 7.8   1
7.84   1
7.88   1
7.92   1
7.96   1
   8   1
8.04   1
8.08   1
8.12   1
8.16   1
 8.2   1
8.24   1
8.28   1
8.32   1
8.36   1
 8.4   1
8.44   1
8.48   1
8.52   1
8.56   1
 8.6   1
8.64   1
8.68   1
8.72   1
8.76   1
 8.8   1
8.84   1
8.88   1
8.92   1
8.96   1
   9   1
9.04   1
9.08   1
9.12   1
9.16   1
 9.2   1
9.24   1
9.28   1
9.32   1
9.36   1
 9.4   1
9.44   1
9.48   1
9.52   1
9.56   1
 9.6   1
9.64   1
9.68   1
9.72   1
9.76   1
 9.8   1
9.84   1
9.88   1
9.92   1
9.96   1
  10   1
m2          m3          m4
     0.04        0.04        0.04

     0.04        0.04        0.04

     0.04        0.04        0.04

				
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