（长安大学建筑工程学院 西安 710064）
【提要】 以基础总造价为目标函数，以国家规范要求的地基承载力、抗弯和抗冲切强度等为约束条件，给出了钢筋混凝土锥形基础优化设计的数学模型；借助于MATLAB优化工具箱，通过编程，实现了此类基础的优化设计。算例表明，该优化设计方法经济效益显著，可推广应用于工程设计。
【关键词】 锥形基础 优化设计 目标函数 约束
Optimum Design of Coneshaped Reinforced Concrete Footings/Lei Zixue(College of Civil Engineering, Chang'an University, Xi'an 710064, China)
Abstract:Considering the total cost of a coneshaped reinforced concrete footing as obje
ct function, and taking soil bearing capacity, flexural capacity and punching shear capacity specified in the corresponding codes as constraints, the mathematical model of the optimum design is established. Based on Matlab optimization toolbox, a program is compiled to carry out the design optimization of such type of footings. A typical example shows that the optimum design method can bring about tremendous economic benefit so that it can be widely applied in practice.
Keywords:coneshaped footing; optimum design; object function; constraint