摘要
本文对R.C正交直线-曲线粱系进行双目标优化设计,取结构造价和钢筋用量两类指标构造目标函数,建立了此类结构的基于Pareto最优性准则的数学模型,并对“线性加权和算法”进行改进,由此求得的综合最优解与一般算法的解答基本重合,而迭代计算的工作量却显著减少。对数值计算结果进行分析、讨论,得出一些比单目标优化设计更有理论和实际意义的结论。
A method of double objective optimum design for R. C. orthogonal straight-curved cross beam system is presented in this paper. A mathematical model based on the pareto optimality criteria is established taking the structural cost and steel consumption both as the objective function. 'Linear weighting sum algorithm 'is also improved. The synthetical optimum solution obtained by above algorithm is almost coincident with that obtained by ge- nearal algorithm while the amount of iteration is obviously reduced. The numerical computing results are analyzed and discussed at the end of the paper and a conclusion that the method advanced is more significant in theory and practice than that of single objective optimum design can be drawn.
出处
《甘肃工业大学学报》
1992年第4期89-96,共8页
Journal of Gansu University of Technology
基金
甘肃省自然科学基金
关键词
曲粱
最优设计
多目标规划
curved beams, optimum design, multiple objective programming, mathematical models, optimization algorithms, iterative computation