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Geometry optimization of a slender cantilever beam subjected to lateral buckling
Polajnar, Miha ; Dražumerič, Radovan ; Kosel, Franc
The paper deals with the geometry optimization of a slender cantilever beam subjected to a concentrated force acting at the free end. The two-parametric mathematical model of lateral torsional ...buckling is based on the BernoulliEuler beam theory and is given in dimensionless form. The optimization procedure is performed using the optimal control theory and the relation between state and adjoint variables is presented. The boundary value problem derived from the optimization procedure is solved numerically and compared to solutions obtained via an alternative optimization approach called sequential approximate optimization.
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