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The study is done using a numerical program (Fortran) and validated with experimental results obtained from the literature.
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Also, the residual stress distribution generated during the heat treatment process was computed using a numerical analysis program designed for analyzing heat treatment processes.
Using a numerical optimization program it developed, the team showed that in this case it's possible to reduce the amount of material required for a cable by replacing the ends with a complex network of small trusses called a Hencky net (see illustration).
By using a numerical optimization program, the weight of the end shell is minimized subject to constraints of the buckling strength, panel growth suppression and the other design requirements.
In this study, the Fortran programming language is used as a numerical program to implement iterative calculations and predict the overall performance characteristics for three different cases.
It is also shown that the usefulness of intuitive fuzzy environment in goal geometric programming is compared to fuzzy goal geometric programming using a numerical example.
Results were reported using a numerical scale.
We used a numerical analysis program "ABAQUS" to solve coupled groundwater flow and ground deformation problems at the same time.
Even though ray tracing programs exist for a long time, for example the seis88 package by Červený, most of those programs use a numerical approach to compute the ray.
Several typical hydroforming processes such as tee extrusion, cross-extrusion, the hydroforming process combined with the pre-bent process and subframe are analyzed by using this numerical program.
Finally, anchoring behavior of bedded rock mass with different bolt numbers was simulated by using FLAC3D numerical program and the results were compared with the experimental results.
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