OPTIMAL DESIGN OF ELASTO-PLASTIC STRUCTURES UNDER VARIOUS LOADING CONDITIONS AND DISPLACEMENT CONSTRAINTS

The paper presents a generalized approach to the optimal design of linearly elastic - perfectly plastic bar structures construeted of prismatic members. The goal is to minimize the volume of the structure subject to the constraints so that at certain points in the structure the elastic displacements and the permanent plastic displacements caused by a one-parameter static load and by a high intensity short-time dynamic pressure. respectively, do not exceed the given allowable displacement and also the structure under the action of a mnlti-parameter static loading shakes down. The paper presents the variational and mathematical programming formulation of the problems when the above constraints separately and also simnltaneously are taken into consideration and illustrates the application by numerical examples