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预应力方钢管混凝土柱非线性规划的最优解

OPTIMAL SOLUTION OF NONLINEAR PROGRAMMING PROBLEM FOR PRE-STRESSED CONCRETE FILLED STEEL TUBULAR COLUMN
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摘要 将双优化设计变量转化为单优化设计变量,从而建立起预应力方钢管混凝土柱的优化设计数学模型.利用罚函数外点法导出了优化设计变量的迭代计算公式,并给出了获得最优解的二重迭代法计算步骤.算例结果分析表明,本法对解决预应力方钢管混凝土柱截面优化问题,具有概念简单,计算方便的特点,并为此类非线性规划问题提供了较好的求解途径. Double optimal design variables are reduced into a single optimal design variable, and the optimization design model of pre-stressed concrete filled square steel tubular column is established accordingly. By using penalty function method, the iteration formulas of optimal design variables are derived, and the calculation procedure of the double iterative method is given in this paper. The numerical example shows that it is simple in concept and convenient for solving cross-section optimization design problems of pre-stressed square steel pipe concrete columns, and it provides a better approach for nonlinear programming.
作者 陈波
出处 《力学与实践》 CSCD 北大核心 2008年第5期28-31,共4页 Mechanics in Engineering
关键词 预应力 钢管混凝土 优化设计 迭代公式 非线性规划 prestress, concrete filled steel tube, optimization design, iteration formulas, nonlinear programming problem
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