Abstract
The grillage adaptive beam string structure (GABSS) is a new type of smart structure that can self-adjust its deformation and internal forces through a group of active struts (actuators) in response to changes in environmental conditions. In this paper, an internal force control method based on a gradient—genetic algorithm (GGA) is proposed for the static control of a tensioned structure (especially the GABSS). Specifically, an optimization model of the GABSS is established in which the adjustment values of the actuators are set as the control variables, and the internal force of the beam is set as the objective function. The improved algorithm has the advantage of the global optimization ability of the genetic algorithm and the local search ability of the gradient algorithm. Two examples are provided to illustrate the application of the GGA method. The results show that the proposed method is practical for solving the internal force control problem of the GABSS.
Abstract
目的
传统控制算法随着自适应结构空间与作动器数量的增加变得低效。本文旨在讨论适用于自适应交叉张弦结构等大空间多变量问题的主动控制算法, 并提出自适应双向交叉张弦梁的主动控制模型, 探究其在不同环境工况下的承载表现。
创新点
1. 以梯度算子改进传统遗传算法, 改善其早熟与收敛速度慢的缺陷; 2. 针对双向交叉张弦梁这一复杂空间结构提出控制方法, 并建模验证。
方法
1. 在传统遗传算法的选择、交叉和变异算子后加入梯度搜索算子, 增强其局部搜索能力与快速收敛能力; 2. 以作动器作动量作为优化变量, 上部梁最小内力工作系数作为目标函数, 撑杆与下部索的许用应力作为约束条件, 建立自适应双向张弦梁结构的静态主动控制方法; 3. 通过2×2与3×3的两个算例进行建模控制, 以结构内力与位移评价其三种工况下的控制效率, 验证所提方法的可行性和有效性。
结论
1. 梯度遗传算法具有良好的局部搜索能力和全局优化能力, 并且收敛速度快; 2. 相对传统静态结构, 在文中的三种设计工况下, 自适应交叉张弦梁结构的承载能力显著提高; 3. 对于张弦梁结构, 风荷载有可能使拉索松弛, 造成不利影响, 而自适应张弦梁可以使拉索保持受拉状态, 并使所有部件协同工作以达到更好的性能。
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Acknowledgements
This work is supported by the National Key R&D Program of China (No. 2017YFC0806100) and the National Natural Science Foundation of China (No. 51578491).
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Yan-bin SHEN designed this study. Guang YANG and An-dong LEI processed the corresponding data. Xiao-yuan YING wrote the first draft of this manuscript. Yao-zhi LUO helped to organize the manuscript. Hao-song SUN revised and edited the final manuscript.
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Yan-bin SHEN, Hao-song SUN, An-dong LEI, Xiao-yuan YING, Guang YANG, and Yao-zhi LUO declare that they have no conflict of interest.
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Shen, Yb., Sun, Hs., Lei, Ad. et al. Static control method using gradient—genetic algorithm for grillage adaptive beam string structures based on minimal internal force. J. Zhejiang Univ. Sci. A 23, 721–732 (2022). https://doi.org/10.1631/jzus.A2200003
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DOI: https://doi.org/10.1631/jzus.A2200003
Key words
- Grillage adaptive beam string structure (GABSS)
- Gradient—genetic algorithm (GGA)
- Structural control
- Adaptive structure
- Actuator