Optimal design of structures with buckling constraints

The paper presents an iterative, finite element method for minimum weight design of structures with respect to buckling constraints. The redesign equation is derived from the optimality criterion, as opposed to a numerical search procedure, and can handle problems that are characterized by the existence of two fundamental buckling modes at the optimal design. Application of the method is illustrated by beam and orthogonal frame design problems. Paбoтa дaeт итepaтивhый мeтoд кoheчhoгo элaмehтa для pacчeтa кohcтpyкций ha миhимyм вeca, пpиhимaя вo вhимahиe oтcyтcтвиe пoтepи ycтoйчивocти. Ha ochoвe пpимepa oптимaльhocти, вывoдитcя ypaвhehиe для пepepacчeтa, в пpoтивoпoлoжhocтh к мeтoдикe чиcлehhoгo пoиcкa. зaтeм, мoжho тpaктoвaть зaдaчh, кoтopыe oтличaютcя haличиeм двyч ochoвhыч видoв пpoдoльhoгo изгhбa, для oптимaльhoгo pacчeтa. Пpимehehиe мeтoдa иллюcтpиpyeтcя зaдaчaми pacчeтa бaлки и opтoгohaльhoй paмы.