Evolutionary optimization of a geometrically refined truss |
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Authors: | Patrick V Hull Michael L Tinker Gerry Dozier |
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Affiliation: | (1) NASA Marshall Space Flight Center, EV 11, Huntsville, AL 35812, USA;(2) Computer Science and Software Engineering, Auburn University, Auburn, AL, USA |
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Abstract: | Structural optimization is a field of research that has experienced noteworthy growth for many years. Researchers in this
area have developed optimization tools to successfully design and model structures, typically minimizing mass while maintaining
certain deflection and stress constraints. Numerous optimization studies have been performed to minimize mass, deflection,
and stress on a benchmark cantilever truss problem. Predominantly, traditional optimization theory is applied to this problem.
The cross-sectional area of each member is optimized to minimize the aforementioned objectives. This paper will present a
structural optimization technique that has been previously applied to compliant mechanism design. This technique demonstrates
a method that combines topology optimization, geometric refinement, finite element analysis, and two forms of evolutionary
computation—genetic algorithms and differential evolution—to successfully optimize a benchmark structural optimization problem.
A nontraditional solution to the benchmark problem is presented in this paper, specifically, a geometrically refined topological
solution. The design process begins with an alternate control mesh formulation, multilevel geometric smoothing operation,
and an elastostatic structural analysis. The design process is wrapped in an evolutionary computing optimization tool set. |
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Keywords: | Subdivision Elastostatic Topology Optimization Genetic algorithms |
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