钢结构住宅梁柱优化设计

Z. Hao, Liu Tielin, Liu Hong, Wang Zheng
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摘要

序贯二次规划方法是一种有效的优化方法。本文将其用于降低钢结构住宅的钢材消耗。以h型钢梁和方钢管柱的耗钢量为目标函数,占比较大。设计变量为梁高、腹板厚度、法兰宽度、法兰厚度和方钢管柱长度。钢梁和方钢管柱的强度、刚度和稳定性均作为相关建筑规范的约束条件。采用顺序二次规划方法,建立了钢结构住宅的优化数学模型,得到了钢梁和方钢管柱的最优截面尺寸。经结构优化设计后,与原设计相比,GL1钢用量减少10.2%,方钢管柱用量减少15.0%。与原设计相比,钢材总消耗量降低了12.6%。本文提出的方法是钢结构住宅优化设计的有效方法。
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Optimization Design for Beam and Column of Steel Structure Residence
The sequential quadratic programming method is a kind of effective approach of optimization. In this paper it is used to reduce the steel consumption of the steel structure residence. Steel consumption of H-section steel beams and square steel tubular columns is taken as objective function, which has relatively larger proportion than others. Design variables are the beam height, web thickness, flange width, flange thickness and the square steel tubular column length. The strength, stiffness and stability of the steel beam and the square steel tubular column are taken as constraint condition under the relevant Building Code. By using the sequential quadratic programming method, we set up optimization mathematical model for optimizing the steel structure residence, and then obtain the optimal section size of the steel beams and the square steel tubular columns. After the structural optimization design, the consumption of steel GL1 was reduced by 10.2%, the consumption of square steel tubular column was reduced by 15.0%, compared with those of the original design. Relative to the original design, the total steel consumption was reduced by 12.6%. The approach proposed in this paper is an effective method for the optimization design of steel structure residence.
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