Mathematical modelling and multicriteria design optimization of a thin-walled beam

Abstract

One approach to the optimization of a thin-walled open section beam subjected to complex loads is considered. For given loads, material and geometrical characteristics the problem is reduced to the determination of minimum mass i.e. minimum cross-sectional area of thin-walled beam and minimum of safety factor for the given construction. A method is described to solve a nonlinear parameter optimization problem with several objective functions. In the present work, multicriteria optimization technique is introduced to extremise simultaneously several objective functions. For the defined multicriteria optimization model, a computer program based on interactive dialogue was developed. The graphical illustration of the above problem is presented in terms of objective functions