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工程力学  2015 

Rayleigh阻尼系数解法比较及对结构地震反应影响

DOI: 10.6052/j.issn.1000-4750.2013.12.1190, PP. 192-199

Keywords: 地震反应,Rayleigh阻尼,加权最小二乘法,优化分析,穹顶结构

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Abstract:

Rayleigh阻尼是一种广泛采用的正交阻尼模型。针对一个直径90m,高15m的穹顶结构,分析比较了四种方法(传统方法、最小二乘法、基于多参考振型的加权最小二乘法和基于结构位移峰值误差优化法)所得Rayleigh阻尼系数对结构地震反应计算精度的影响。四条地震波的分析结果表明:基于结构位移峰值误差的优化方法对于结构位移等以低阶模态控制的动力反应量计算精度最高;传统方法存在选择合适第二阶参考频率的难题;而最小二乘法不是计算Rayleigh阻尼系数的合理方法。当结构的显著贡献模态多且不同动力反应相关显著贡献模态的频率有巨大差异时,Rayleigh阻尼模型将无法构造兼顾低阶模态和高阶模态计算精度的阻尼矩阵,此时需要采用更多阶模态的阻尼比等于精确值的阻尼矩阵构造方法。

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