基于能量原理的粘弹性阻尼器优化布置
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摘要
对于粘弹性阻尼器的布置优化,传统的搜索法计算效率较低.本文针对该问题提出了一种适用于初步设计的简单优化方法.首先从能量守恒的角度出发建立地震输入能量与阻尼器耗散能量之间的关系,并结合单自由度体系地震能量反应谱和阻尼器的滞回耗能特性,估算减震结构所需安装阻尼器的总数.然后以阻尼器总耗能最大作为优化目标,根据多自由度体系运动方程,推导出阻尼器在减震结构各层布置数量与结构振型间的关系,从而得出阻尼器优化布置方案.最后结合算例将本文方法与搜索法计算结果进行对比分析.结果表明本文方法能在保证一定计算精度的情况下显著地提高计算效率.
The searching method is of relatively low calculating efficiency for the optimal design of dampers' layout in primary stage of seismic design. To solve the above problem,this article proposes a simple damper optimization method which is based on energy theory. First of all,the number of required dampers is estimated through energy conservation between seismic input and dampers' dissipation,in which the energy spectrum of Single-Degree of Freedom(SDF) system and hysteresis feature of dampers are involved. Secondly,in order to achieve the maximum energy dissipation,damper optimization is carried out depending on a relationship between the distribution of dampers and structural modes,which is deduced from the motion equation of Multi-Degree of Freedom(MDF) system. Thirdly,the proposed method is compared with the searching method through a case study of a 16-floor concrete frame. Results show that this simple method is suitable for primary stage design because of its acceptable precision and remarkable efficiency.
引文
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