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（長安大學(xué)建筑工程學(xué)院 西安 710064）
【提要】 以基礎(chǔ)總造價為目標(biāo)函數(shù)，以國家規(guī)范要求的地基承載力、抗彎和抗沖切強度等為約束條件，給出了鋼筋混凝土錐形基礎(chǔ)優(yōu)化設(shè)計的數(shù)學(xué)模型；借助于MATLAB優(yōu)化工具箱，通過編程，實現(xiàn)了此類基礎(chǔ)的優(yōu)化設(shè)計。算例表明，該優(yōu)化設(shè)計方法經(jīng)濟效益顯著，可推廣應(yīng)用于工程設(shè)計。
【關(guān)鍵詞】 錐形基礎(chǔ) 優(yōu)化設(shè)計 目標(biāo)函數(shù) 約束
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