基于数字序列编码遗传算法的高层结构粘滞阻尼器优化布置

燕乐纬;陈洋洋 ;周 云

振动与冲击 ›› 2015, Vol. 34 ›› Issue (3) : 101-107.

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (3) : 101-107.
论文

基于数字序列编码遗传算法的高层结构粘滞阻尼器优化布置

  • 燕乐纬 1, 陈洋洋 2 ,周 云 1

作者信息 +

OPTIMAL CONFIGURATION OF VISCOUS DAMPERS IN TALL BUILDINGS BASED ON DIGITAL SEQUENCE CODING GENETIC ALGORITHM

  • Yan Lewei1,Chen Yangyang2,Zhou Yun1
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摘要

提出一种基于数字序列编码遗传算法的高层结构粘滞阻尼器优化布置方法,解决了允许各层阻尼器安装数量不同时,二进制编码的标准遗传算法不能完备表达求解空间的问题。数字序列编码用染色体的一个基因位表示一个阻尼器的安装位置,其数值表示该阻尼器的安装层数。在这一编码方案下,优化问题基因型空间中的染色体和表现型空间中的可选布置方案一一对应,编码满足严格的合法性、完备性、Lamarckian性质以及强因果性。与数字序列编码方式相对应,离散重组交叉算子保证了种群的有效进化。此外,基于染色体目标函数值的相对大小构造适应度函数,能够充分体现种群中染色体的适应度差异,加速种群的进化,进而获得优化问题的全局最优解。对多遇地震下20层Benchmark结构的阻尼器布置方案进行了优化,计算结果表明了本文方法的有效性。

Abstract

An optimal configuration method of dampers in tall buildings is presented based on digital sequence coding genetic algorithm (DSCGA). Compared with standard genetic algorithm (SGA), the present algorithm can completely represent the solution space of the optimization problem as the number of damper is not equal in each damper-installation storey. A gene bit of digital sequence code represents an installation position of a damper, and, the value denotes the damper-installation storey. With the present digital sequence coding, the size of the genotype space can exactly be consistent with that of the phenotype space, while strictly legitimacy, completeness, Lamarckian property, and strongly causality are satisfied. The discrete-recombination cross operator, corresponding to the digital sequence coding, ensured the effective evolution of the population. Furthermore, fitness function is constructed based on relative objective function value, which can not only fully embody the fitness difference in population but also promote effective evolution to obtain the global optimal solution as a result. The method is applied for a typical damper configuration optimization problem, in which the 20-storey Benchmark structure under a frequent seismic level is considered. The efficiency and applicability of the present algorithm are assessed.

关键词

数字序列编码 / 遗传算法 / 相对适应度 / 阻尼器 / 高层结构

Key words

digital sequence coding / genetic algorithm / relative fitness / damper / tall buildings

引用本文

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燕乐纬;陈洋洋 ;周 云 . 基于数字序列编码遗传算法的高层结构粘滞阻尼器优化布置[J]. 振动与冲击, 2015, 34(3): 101-107
Yan Lewei;Chen Yangyang;Zhou Yun. OPTIMAL CONFIGURATION OF VISCOUS DAMPERS IN TALL BUILDINGS BASED ON DIGITAL SEQUENCE CODING GENETIC ALGORITHM[J]. Journal of Vibration and Shock, 2015, 34(3): 101-107

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