Final
results from joint exploration and optimization in CATIA, OCTAVE, and EXCEL
using a simplex search methods for the minimum mean of the seamgaps in the joints, which were controllled by one parameter. The parameter controlls the distance of the circle center from the midline of the piece |
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Plot
of the data featuring the amount of gap between pieces under load for the
6 cases I would base my project on that data - the variation of the gap in the seam under momentum load on the two pieces. I would like to find the optimal offset of the circle center from the seam axis for the current configuration. |
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Data page - for 1 mm offset | data page - for 8 mm offset | data page - for 12 mm offset | data page - for 16 mm offset | data page - for 20 mm offset | data page - for 28 mm offset |

plot of the gap values for each of the joints | |||||

superimposition
of the 6 above plots The -0.001 value is the pressure fit default gap width. Negative because it is a pressure fit joint that is prestressed through assembly. There is some features in this small data set already - one can guess the joint nodes and one side is showing more gap displacement then the other. |
The plots
of the mean values of the gap curves as they were queried by the simplex
search method on the right. |
Screenshot of simplex seach algorythm after 10 steps - each step had to be manually fed back from CATIA which made it prohibively slow. | |||

corresponding text file logging the above simplex run in Java | |||||

I used the
simplex search method on the function of the seamgap mean value out put
of the joint. |
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Several different methods were explored for the modeling of the seam line based on different parameters and number of parameters. Unfortunately the CATIA environment allows only planar or cylindrical based contact joints that are the basis for pressure fit definitions. Therefore the spline approach had to be abandoned in favor of the circle segment approach | |||||

Joint exploration in two dimensions - radius of joint piece and offset from center line are the variable parameters | |||||

plot of the two parameters as x and y and z as the mean of the gap clearance along the seam | |||||

simplex search
data log of a manual search bash-2.05b$ appletviewer simplex.html enter the value for offset value x: 38.5 y: 18.0 1.5885e+10 testloop 0 1.58849997E10 0 enter the value for offset value x: 33.0 y: 18.0 -8.4693e-04 testloop 0 -8.4693E-4 1 enter the value for offset value x: 38.5 y: 15.0 1.3738e+09 testloop 0 1.37379994E9 2 2 1 0 enter the value for offset value x: 33.0 y: 15.0 3.5739e+08 vals -8.4693E-4 1.37379994E9 3.57390016E8 enter the value for offset value x: 34.375 y: 15.75 0.00011328 test3 enter the value for offset value x: 37.125 y: 17.25 -4.6316e-04 test3 test4 test5 1 35.75 enter the value for offset value x: 35.75 y: 18.0 -4.2328e-04 testloop 0 -4.2328E-4 0 enter the value for offset value x: 33.0 y: 18.0 -8.4693e-04 testloop 0 -8.4693E-4 1 enter the value for offset value x: 35.75 y: 16.5 -2.9287e-04 testloop 2 -2.9287E-4 2 1 0 2 enter the value for offset value x: 33.0 y: 19.5 8.5464e+04 vals -4.2328E-4 -8.4693E-4 85464.0 enter the value for offset value x: 33.6875 y: 18.75 9.3565e+05 test3 enter the value for offset value x: 35.0625 y: 17.25 -6.6714e-04 test3 test4 test6 2 34.375 |
enter
the value for offset value x: 34.375 y: 18.0 -8.4367e-04 testloop 0 -8.4367E-4 0 enter the value for offset value x: 33.0 y: 18.0 -8.4693e-04 testloop 0 -8.4693E-4 1 enter the value for offset value x: 34.375 y: 17.25 -9.2517e-04 testloop 0 -9.2517E-4 2 2 1 0 enter the value for offset value x: 33.0 y: 17.25 -5.3602e-04 vals -8.4693E-4 -9.2517E-4 -5.3602E-4 enter the value for offset value x: 33.34375 y: 17.4375 -8.3007e-04 test3 enter the value for offset value x: 34.03125 y: 17.8125 -0.0058654 test3 3 34.03125 enter the value for offset value x: 34.03125 y: 17.8125 -0.0058654 testloop 0 -0.0058654 0 enter the value for offset value x: 33.0 y: 18.0 -8.4693e-04 testloop 1 -8.4693E-4 1 enter the value for offset value x: 34.37 |
Conclusion: |
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