桁架结构的几何规划法优化设计

OPTIMUM DESIGN OF TRUSS STRUCTURE BASED ON GEOMETRIC PROGRAMMING

几何规划法有其独特的优点,非常适合于桁架结构优化设计,但是,其标准形式应用于桁架结构优化设计时存在较大的局限性,限制了其应用.本文建立了桁架结构的广义多项式数学模型,并应用广义多项式的处理方法将标准模型转化为符号几何规划,重新用切割平面法对桁架结构进行了优化求解.

Geometric programming possesses unique advantages. It is suitable to the optimization design of truss structure very much. But, there is a greater limitation exists when standard form is applied to the optimization design of truss structure,which has limited the application of geometric programming. This text has set up the broad sense multinomial mathematics model of truss structure, and uses broad sense treatment method of multinomial to turn standard model into symbol geometric programming. The truss structure is optimized with cut level law