基于遗传算法的不同类型阻尼器同步优化
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南京工业大学土木工程学院

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Synchronization Optimization of Different Types of Dampers Based on Genetic
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College of Civil Engineering,Nanjing Tech-University

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    摘要:

    高层结构的减震设计存在不同位置对阻尼器类型的需求可能会不同,本文推导了地震作用下结构布置不同类型阻尼器的状态空间统一描述方法,并在此基础上,采用遗传算法实现了多种不同类型阻尼器的同步优化布置。通过转换矩阵将阻尼器对层间的的影响转换于楼层响应,推导出状态空间方程中不同类型阻尼器对应的系数矩阵,将运动方程转换为状态空间法的统一表达形式。结合遗传算法对可行解的表示具有广泛性这一特点,对附加不同类型阻尼器的结构统一编码,实现同步优化布置。采用本文方法对6层及20层框架结构进行了固定总数的一种类型阻尼器优化布置,并与已有研究的优化结果做对比,得到一致的优化结果,验证了本文方法的可行性。又对同一结构进行固定相同总数的两种类型阻尼器优化,优化效果与布置同种阻尼器相近,且优于其他布置方案,证明了本文方法在处理同步优化不同类型阻尼器问题上的有效性。本文方法结合了状态空间法统一描述问题的优点与遗传算法全局搜索最优解的优点,可以在较短时间内同时优化多种不同类型的阻尼器位置,对以遗传算法为代表的智能寻优算法在土木工程领域的应用具有一定的理论价值,对阻尼器优化布置的实际工程应用具有一定的指导意义。

    Abstract:

    In this paper, the unified description method of state space with different dampers for structural arrangement is derived. Based on this, a genetic algorithm is used to realize the synchronous optimization of a fixed number of different types of dampers. The transformation matrix is used to convert the influence of the damper on the floor to the floor response, and the coefficient matrix corresponding to different types of dampers in the state space equation is derived, and the motion equation is transformed into a unified expression of the state space method. Combined with the genetic algorithm, the representation of the feasible solution has a wide range of features, and the structure of the different types of dampers is uniformly coded to achieve synchronous optimization. A fixed-type damper optimization arrangement of 6-layer and 20-layer frame structures is carried out by this method. The comparison results with the existing research results are obtained, and the consistent optimization results are obtained. The feasibility of the proposed method is verified. The same structure is fixed with the same total number of two types of dampers. The optimization effect is similar to that of the same type of damper, and it is better than other arrangements. It proves the effectiveness of the proposed method in the simultaneous optimization of different types of dampers. The method combines the advantages of unified description of the problem by state space method and the advantage of global search of optimal solution by genetic algorithm. It can optimize multiple different types of damper positions in a short time, and intelligent optimization represented by genetic algorithm. The application of the algorithm in the field of civil engineering has certain theoretical value, and it has certain guiding significance for the practical engineering application of the optimal arrangement of the damper.

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  • 收稿日期:2019-03-13
  • 最后修改日期:2019-12-02
  • 录用日期:2019-12-02
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