. "Stochastic Optimization in Beam Design and Its Reliability Check"@en . "Stochastic Optimization in Beam Design and Its Reliability Check" . . "\u017Dampachov\u00E1, Eva" . "26210" . . "Brno" . . . . "2010-06-23+02:00"^^ . . . . "Stochastic programming approach is applied to a problem concerning an optimal design of beam dimensions and its reliability. The corresponding mathematical model involves an ODE-type constraint, an uncertain parameter related to the material characteristics and one individual chance constraint. A reformulation of a nonlinear chance constrained stochastic program by an appropriate penalty function is considered. The numerical study is presented. An a posteriori check of reliability of the beam is made using simulation techniques in Probabilistic Design System in ANSYS." . "6"^^ . "RIV/00216305:26210/10:PU87576!RIV11-GA0-26210___" . "978-80-214-4120-0" . "Brno University of Technology" . "MENDEL 2010 - 16th International Conference on Soft Computing" . "P(1M06047), P(GA103/08/1658)" . "Vysok\u00E9 u\u010Den\u00ED technick\u00E9 v Brn\u011B. Fakulta strojn\u00EDho in\u017Een\u00FDrstv\u00ED" . . "2"^^ . "Stochastic Optimization in Beam Design and Its Reliability Check"@en . . . . "2"^^ . "Mr\u00E1zek, Michal" . . "290151" . "[EF5BA8B16010]" . . . "stochastic programming, probabilistic constraints, penalty function, optimum engineering design, ANSYS, GAMS"@en . . "Stochastic programming approach is applied to a problem concerning an optimal design of beam dimensions and its reliability. The corresponding mathematical model involves an ODE-type constraint, an uncertain parameter related to the material characteristics and one individual chance constraint. A reformulation of a nonlinear chance constrained stochastic program by an appropriate penalty function is considered. The numerical study is presented. An a posteriori check of reliability of the beam is made using simulation techniques in Probabilistic Design System in ANSYS."@en . . . . "RIV/00216305:26210/10:PU87576" . . "Stochastic Optimization in Beam Design and Its Reliability Check" . "000288144100063" .