OPTIMIZATION OF MASS FOR SCHMIT TRUSS WITH THREE PARAMETERS

Abstract

In analytical form, the problem of mass optimization for test three-bar Schmit truss is solved with three design variables subject to stress limits in compression and extension in bars. Some problem formulations are presented: for one of the external load direction from the range of 0 to 360 degrees, for the action alternately all load directions from this range, with the exception of the stress restrictions for zero cross-section bars. The problems are presented and solved in nondimensional form. The migration of mass minimum point for the space of project section squares is presented. The presence of multiple local minima is viewed.

Keywords: optimization by mass, test task, analytical solution.