不等截面长柱吊装的最优方案研究

AN OPTIMAL SCHEME FOR HOISTING LARGE-SCALE SLENDER COLUMNS WITH UNEQUAL SECTIONS

  • 摘要: 为了解决变截面长柱吊装的施工难题,研究了其最优吊装方案的确定方法,并编制相应的计算机程序。针对拟定的双机三点吊的绳系布置方式,建立了长柱内力分析的数学模型,选择吊点位置作为设计变量,以长柱吊装过程中弯矩最小作为目标函数,采用惩罚策略处理约束条件,以“网格法”和“遗传算法”优化吊点位置,使同一绳系布置方式的吊装过程弯矩最小。最后比较不同绳系布置方式的最优吊点对应的弯矩,得到一个最优的绳系方案。用一个算例说明了该分析的正确性。并计算变截面长柱在等截面长柱的最优吊点下的弯矩大小,说明优化变截面长柱吊点的必要性。

     

    Abstract: To solve the problem of hoisting large-scale slender columns with unequal sections , an optimal scheme to carry out the whole erection is studied and the corresponding software is developed. Mathematical models for the internal forces corresponding to different hoisting schemes are established. The positions of hoist points are selected as design variables for the optimal model. The objective of the analysis is to minimize the maximum internal forces (bending moment) in the process of erecting. The constraints are imposed by penalty strategy. With grid method and genetic algorithm, the optimal problem is solved. By comparing the different induced moments due to different hoist point positions, one set of optimal positions of hoist point is determined. A practical example is presented to demonstrate the correctness of the analysis and explain the need of optimizing hoist points of slender columns with unequal sections.

     

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