Multi-Objective Optimization Method and Asynchronous Influence Law for the Integral Lifting of Spatial Steel Structures
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摘要: 针对空间钢结构整体提升方案复杂、优选困难的问题,创新性地提出了整体提升多目标优化方法。该方法构建了以结构安全性和提升设备能力为目标的多目标函数,将实整数编码与迭代解码算法的优化变量表示方法融入优化框架中,解决了大规模组合优化的效率与可行性问题。结合某回字形不规则桁架结构案例,详细分析了大型钢结构在整体提升阶段的力学响应,使用所提方法获得的提升方案,既可降低提升点数目,又可显著降低提升过程中的结构应变能、应力水平和提升反力,充分验证了该方法的工程有效性。进一步地,采用迭代极限边界法对优化解进行非同步提升分析。结果表明:提升点数目与非同步高差限值呈反比关系;与传统的试算法相比,迭代极限边界法可获得更严格的提升高差限值。构建的多目标优化体系具备参数可调的普适性架构,通过灵活调整决策变量维度、约束条件及目标函数参数,可适配任意形态的空间结构-设备系统提升方案寻优。Abstract: Aiming at the complexity and difficulty in optimizing integral lifting schemes for spatial steel structures, this paper proposes a multi-objective optimization method for such lifts. This method constructs a multi-objective function centered on structural safety and lifting equipment capacity, and integrates the optimization variable representation method of real-integer coding and iterative decoding algorithm into the optimization framework, thereby solving the efficiency and feasibility issues of large-scale combinatorial optimization. An irregular rectangular frame truss structure was taken as an engineering case to analyze the mechanical response of large-scale steel structures during the integral lifting stage in detail. The lifting scheme obtained by the proposed method not only reduced the number of lifting points but also significantly decreased the structural strain energy, stress level, and lifting reaction forces during the lifting process, fully verifying its engineering effectiveness. Furthermore, the iterative limit boundary method was employed to conduct asynchronous lifting analysis on optimized solutions. The results demonstrated an inverse proportional relationship between the number of lifting points and the allowable asynchronous height difference limit. Compared to the traditional trial method, the iterative limit boundary method yielded stricter height difference limits. The multi-objective optimization system constructed in this paper features a parameter-adjustable universal framework. By flexibly adjusting the dimensions of decision variables, constraint conditions, and parameters of the objective function, it can adapt to the optimization of lifting schemes for spatial structure-equipment systems of various shapes.
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Key words:
- spatial structure /
- integral lifting /
- multi-objective optimization /
- asynchronous lifting /
- limit state
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