Concyl can save solution data to two types of output files: a solution summary file and a plot
database file. The solution summary file has all the input and output in a tabular format suitable
for printing or for inclusion into analysis reports. The plot database is a tab delimited file with the
first column being the list of radial values at which the solution quantities are saved. The
remaining columns each have a solution quantity. The list of solution quantities that are available
for plotting are listed in Table 5 below.
Table 5. Solution Quantities Available For Plotting
|
Label
|
Solution Quantity
|
|
EPSR
|
Radial strain
|
|
EPSH
|
Hoop Strain
|
|
EPSZ
|
Axial Strain
|
|
GAMMAX
|
Max Shear Strain
|
|
EPSE
|
Equivalent (Von-Mises) Strain
|
|
SIGR
|
Radial Stress
|
|
SIGH
|
Hoop Stress
|
|
SIGZ
|
Axial Stress
|
|
TAUMAX
|
Max Shear Stress
|
|
SIGE
|
Equivalent (Von-Mises) Stress
|
|
DISPR
|
Radial Displacement
|
|
ENGDIS
|
Distortional Strain Energy
|
|
ENGDIL
|
Dilatational Strain Energy
|
|
ENTGOT
|
Total Strain Energy
|
|
ALL
|
All Solution Quantities
|
Solution Summary File
A typical solution summary file is shown below. The file includes an echo of all the input data as
well as several tables of the solution data. The units for the solution data are consistent with the
input data units. The user must be careful to ensure that all the input parameters have consistent
units.
========================================================================
CONCYL v1.1 Concentric Cylinder Stress Analyzer
========================================================================
Run Time: 10:35:57 [Octiber 14, 2006]
------------------------------------------------------
Input Data
------------------------------------------------------
Problem Title:
Test-2: Four Cylinder Sample, Thermal Plus Axial Strain
Number of cylinders ------> 4
Number of materials ------> 4
------------------------
Interface Radius Table
------------------------
Interface Radius
--------- ------
1 3.75000
2 7.63000
3 11.5100
4 15.3900
5 15.5000
------------------------
Cylinder Summary Table
------------------------
Cylinder MID Material Tref Area Mass
-------- --- -------- ---- ---- ----
1 1 Propellant 145.00 138.72 7.6293
2 2 Liner 145.00 233.30 12.832
3 3 Insulation 145.00 327.89 18.034
4 4 Case 145.00 10.675 3.0210
------------------------
Material Summary Table
------------------------
MID Name E nu alpha rho G
Kb
--- ---- - -- ----- --- -
--
1 Propellant 100.00 0.50 6.3690e-5 0.055 33.333 Infinite
2 Liner 100.00 0.50 6.3690e-5 0.055 33.333 Infinite
3 Insulation 100.00 0.50 6.3690e-5 0.055 33.333 Infinite
4 Case 3.0e+7 0.30 8.6000e-6 0.283 1.1538e+7 2.5000e+007
-----------------------------------------------------
| E = Elastic Tensile Modulus |
| nu = Poisson Ratio |
| alpha = Coefficient of Thermal Expansion (CTE) |
| rho = mass density |
| G = Elastic Shear Modulus [Output] |
| Kb = Elastic Bulk Modulus [Output] |
| Tref = Reference (Stress Free) Temperature |
-----------------------------------------------------
Note: User must ensure proper dimensionally consistent units
----------------------------
Applied Load Summary Table
----------------------------
Uniform Temperature ----> +30
Internal Pressure ------> +0
External Pressure ------> +0
Axial Constraint Type --> PARTIALLY CONSTRAINED
Axial Strain -----------> -9.890e-4
------------------------------------------------------
Output Data
------------------------------------------------------
---------------------
Interface Pressures
---------------------
Interface Radius Pressure
--------- ------ --------
1 3.7500 +0.00000
2 7.6300 -8.0567
3 11.510 -9.4950
4 15.390 -9.9919
5 15.500 +0.00000
Note: Negative pressure means tension
-----------------------------
Cylinder Interface Stresses
-----------------------------
Cyl<Int> SIGH SIGR SIGZ TAUMAX
SIGE
-------- ---- ---- ---- ------
-----
1I +21.245 +0.00000 +11.256 +10.623 +18.410
1O +13.189 +8.0567 +11.256 +2.5659 +4.4892
--------------------------------------------------------------------------------
2I +13.189 +8.0567 +11.256 +2.5659 +4.4892
2O +11.750 +9.4950 +11.256 +1.1276 +2.0532
--------------------------------------------------------------------------------
3I +11.750 +9.4950 +11.256 +1.1276 +2.0532
3O +11.253 +9.9919 +11.256 +0.63211 +1.2628
--------------------------------------------------------------------------------
4I -1403.0 +9.9919 -417.89 +706.48 +1255.0
4O -1393.0 +0.00000 -417.89 +696.49 +1238.1
--------------------------------------------------------------------------------
-----------------------------------------
Cylinder Interface Strains (Mechanical)
-----------------------------------------
Cyl<Int> EPSH EPSR EPSZ GAMMAX
EPSE
-------- ---- ---- ---- ------
-----
1I +0.15617 -0.16251 +0.0063353 +0.31868 +11.263
1O +0.035321 -0.041657 +0.0063353 +0.076978 +11.259
--------------------------------------------------------------------------------
2I +0.035321 -0.041657 +0.0063353 +0.076978 +11.259
2O +0.013746 -0.020081 +0.0063353 +0.033827 +11.259
--------------------------------------------------------------------------------
3I +0.013746 -0.020081 +0.0063353 +0.033827 +11.259
3O +0.0062927 -0.012628 +0.0063353 +0.018963 +11.259
--------------------------------------------------------------------------------
4I -4.2687e-005 +1.8542e-005 +0.00000 +6.1228e-005 +417.89
4O -4.2254e-005 +1.8109e-005 +0.00000 +6.0362e-005 +417.89
--------------------------------------------------------------------------------
------------------------------------
Cylinder Interface Strains (Total)
------------------------------------
Cyl<Int> EPSHT EPSRT EPSZT GAMMAX
-------- ----- ----- ----- ------
1I +0.14885 -0.16983 -0.00098900 +0.31868
1O +0.027997 -0.048981 -0.00098900 +0.076978
------------------------------------------------------------------
2I +0.027997 -0.048981 -0.00098900 +0.076978
2O +0.0064215 -0.027406 -0.00098900 +0.033827
------------------------------------------------------------------
3I +0.0064215 -0.027406 -0.00098900 +0.033827
3O -0.0010317 -0.019952 -0.00098900 +0.019952
------------------------------------------------------------------
4I -0.0010317 -0.00097046 -0.00098900 +0.0010317
4O -0.0010313 -0.00097089 -0.00098900 +0.0010313
------------------------------------------------------------------
------------------------------------
Cylinder Interface Strain Energies
------------------------------------
Cyl<Int> Distortion Dilatation Total
-------- ---------- ---------- -----
1I +1.6946 +0.00000 +1.6946
1O +0.10077 +0.00000 +0.10077
------------------------------------------------
2I +0.10077 +0.00000 +0.10077
2O +0.021078 +0.00000 +0.021078
------------------------------------------------
3I +0.021078 +0.00000 +0.021078
3O +0.0079734 +0.00000 +0.0079734
------------------------------------------------
4I +0.022749 +0.0072872 +0.030037
4O +0.022142 +0.0072872 +0.029429
------------------------------------------------
-------------------------
Interface Displacements
-------------------------
Interface Radius DispR
--------- ------ -----
1 3.7500 +0.55818
2 7.6300 +0.21362
3 11.510 +0.073911
4 15.390 -0.015878
5 15.500 -0.015984
Plot Database File
The plot database file format is shown below. This file can be readily imported into plotting
programs such as Excel, Mathcad, or Matlab. The file is tab delimited with a header row that lists
the solution quantity label for each column. The number of rows is determined by the plot
resolution parameter. This parameter specifies the number of radial data points per cylinder. So
with a system of 4 cylinders, along with the default plot resolution of 10, the total number of data
points (or rows) will be 40.
RADIUS SIGR EPSH DISPR
3.7500E+00 0.0000E+00 1.5617E-01 5.8564E-01
4.1811E+00 2.0776E+00 1.2501E-01 5.2267E-01
4.6122E+00 3.6004E+00 1.0217E-01 4.7121E-01
5.0433E+00 4.7496E+00 8.4927E-02 4.2831E-01
5.4744E+00 5.6382E+00 7.1598E-02 3.9196E-01
5.9056E+00 6.3394E+00 6.1081E-02 3.6072E-01
6.3367E+00 6.9023E+00 5.2636E-02 3.3354E-01
6.7678E+00 7.3612E+00 4.5753E-02 3.0965E-01
7.1989E+00 7.7401E+00 4.0069E-02 2.8845E-01
7.6300E+00 8.0567E+00 3.5321E-02 2.6950E-01
7.6300E+00 8.0567E+00 3.5321E-02 2.6950E-01
8.0611E+00 8.3238E+00 3.1314E-02 2.5243E-01
8.4922E+00 8.5512E+00 2.7902E-02 2.3695E-01
8.9233E+00 8.7466E+00 2.4973E-02 2.2284E-01
9.3544E+00 8.9155E+00 2.2439E-02 2.0990E-01
9.7856E+00 9.0626E+00 2.0232E-02 1.9798E-01
1.0217E+01 9.1915E+00 1.8299E-02 1.8696E-01
1.0648E+01 9.3050E+00 1.6596E-02 1.7671E-01
1.1079E+01 9.4056E+00 1.5088E-02 1.6716E-01
1.1510E+01 9.4950E+00 1.3746E-02 1.5821E-01
1.1510E+01 9.4950E+00 1.3746E-02 1.5821E-01
1.1941E+01 9.5750E+00 1.2547E-02 1.4982E-01
1.2372E+01 9.6467E+00 1.1471E-02 1.4192E-01
1.2803E+01 9.7113E+00 1.0501E-02 1.3445E-01
1.3234E+01 9.7697E+00 9.6253E-03 1.2739E-01
1.3666E+01 9.8227E+00 8.8309E-03 1.2068E-01
1.4097E+01 9.8709E+00 8.1082E-03 1.1430E-01
1.4528E+01 9.9148E+00 7.4489E-03 1.0822E-01
1.4959E+01 9.9550E+00 6.8458E-03 1.0241E-01
1.5390E+01 9.9919E+00 6.2927E-03 9.6844E-02
1.5390E+01 9.9919E+00 -4.2687E-05 -6.5695E-04
1.5402E+01 8.8711E+00 -4.2638E-05 -6.5672E-04
1.5414E+01 7.7530E+00 -4.2590E-05 -6.5650E-04
1.5427E+01 6.6375E+00 -4.2541E-05 -6.5627E-04
1.5439E+01 5.5247E+00 -4.2493E-05 -6.5605E-04
1.5451E+01 4.4145E+00 -4.2445E-05 -6.5582E-04
1.5463E+01 3.3069E+00 -4.2397E-05 -6.5560E-04
1.5476E+01 2.2020E+00 -4.2349E-05 -6.5538E-04
1.5488E+01 1.0997E+00 -4.2301E-05 -6.5515E-04
1.5500E+01 0.0000E+00 -4.2254E-05 -6.5493E-04