PARETO OPTIMA OF REINFORCED CONCRETE FRAMES

Optimal design techniques have been extensively appIied to structural design in case of one objectIve iunctIon. They have hardly been used with several objectIve functions. In this paper the multicriterion optimization of reinforced concrete frames is considered and the numerical method for determining the Pareto optimal set of the problem is presented. The criteria to be minimized are the weight of the frame, the volume of reinforcement for the structure and in certain cases the stability criteria. The solution is based on the vector optimization theory

ANALYSIS OF ELASTIC STRUCTURES BY MATHEMATICAL PROGRAMMING

The physical nonlinearity of the structures is examined in the elastic state. The problem is solved by finite element method and nonlinear mathematical programming. For the second case both the primal and the dual problems are discussed. The different methods of the solutions are compared

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