Abstract
In the paper the global optimization problem of truss systems is studied. The genetic algorithms are employed for the optimization. As the objective function the structure mass is treated; the constraints include equilibrium, local stability and other requirements. All the truss system characteristics needed for genetic algorithm are obtained via finite element solution. Topology optimization of truss system is performed using original modified genetic algorithm, while the shape optimization – using ordinary genetic algorithm. Numerical solutions are presented. The obtained solutions are compared with global extremes obtained using full search algorithm. All the numerical examples are solved using original software.
Highlights
The genetic algorithms are employed for the optimization
All the truss system characteristics needed for genetic algorithm are obtained via finite element solution
The obtained solutions are compared with global extremes obtained using full search algorithm
Summary
Strypiniu sistemu (santvaru) optimizavimas yra aktualus technikos uždavinys. Šiame darbe nagrinejama santvaru topologijos ir formos globalioji optimizacija, naudojant genetinius algoritmus [2,3]. X∈D kur M yra tikslo funkcija, D – galima santvaros konfiguracija, X – projektavimo kintamieji. E=1 kur Le – e-ojo elemento (strypo) ilgis, ρe – e-ojo elemento tankis, Ae – e-ojo elemento skerspjuvio plotas. J =1 kur −→F ij yra i-ojo mazgo j -oji jega. E kur Fe – maksimali leistina gniuždymo jega e-ame elemente, Ee – e-ojo elemento Jungo modulis, Ie – e-ojo elemento inercijos momentas, Le – e-ojo elemento ilgis. Kad BEM programa butu galima efektyviai apjungti su genetini algoritma realizuojancia programa (kuria autoriai irgi realizavo C++ kalboje) ir tokiu budu gauti greitai veikiancia optimizavimo programa
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