Optimization of the form of step-prismatic bended beam

Abstract

Optimization of the form of step-prismatic bended beam

Karamysheva A.A., Yazyev B.M., Chepurnenko A.S., Yazyeva S.B.

Incoming article date: 03.08.2015

We obtained the solution of the optimization problem for the step-parallel beam with constant width of the cross-section. The problem was solved by minimizing the strain energy while the volume of beam is constant. The solution was made for the case of simple support at the ends and evenly distributed along the length load. We introduced the parameter α, which is the ratio of height of the average part to a height of side parts. The optimal value of α was found. At this value the stiffness of the beam is maximum at constant volume. The obtained beam of maximum stiffness is not equal strength.

Keywords: optimization, speed-prismatic beam, the strain energy, variable stiffness, minimum