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Critical remarks on Rayleigh damping model considering the explicit scheme for the dynamic response analysis of high rise buildings
Advances in Structural Engineering ( IF 2.1 ) Pub Date : 2021-02-02 , DOI: 10.1177/1369433220988621
Fikrat ALMahdi 1 , Yasin Fahjan 2 , Adem Doğangün 1
Affiliation  

This paper numerically investigates the validity of Rayleigh damping model considering explicit operator to assess the dynamic response of high rise buildings under seismic loads. Considering transverse and longitudinal seismic waves, the bending moment, shear force, axial force, and and inter story drift are evaluated for a Core wall and a frame system of 46 story each. It is found that considering the explicit scheme, the dynamic responses are amplified significantly especially for axial forces. The reported amplification can be attributed to the ignorance of stiffness proportional Rayleigh damping coefficient which is associated with the stability issue of the implemented explicit operator. The paper indicates that Rayleigh damping model does not provide the required/expected damping for the higher modes of higher frequencies hence, it is not appropriate to be used along with the explicit operator especially for buildings of wide range of frequencies. It is worth pointing out that for classical dynamic analysis which follows the implicit scheme, Rayleigh damping seems to well consider the higher modes of high frequencies with higher damping ratio in comparison to the initial mode shapes. Consequently, the literature explicit scheme should be revised to accurately consider a proper damping for the higher modes which is crucial to assess the total response of structures of long periods and wide range of frequencies such as high rise buildings among others.



中文翻译:

考虑高层建筑动力响应分析的显式方案的瑞利阻尼模型的重要评论

本文通过考虑显式算子评估高层建筑在地震荷载下的动力响应时,对瑞利阻尼模型的有效性进行了数值研究。考虑横向和纵向地震波,对核心墙和每个46层的框架系统评估了弯矩,剪切力,轴向力和层间位移。发现考虑到显式方案,动态响应被显着放大,特别是对于轴向力。报告的放大可以归因于刚度成比例的瑞利阻尼系数的无知,这与实现的显式算子的稳定性问题相关。本文指出,瑞利阻尼模型无法为更高频率的更高模式提供所需/期望的阻尼,因此,不建议将其与显式运算符一起使用,特别是对于频率范围较广的建筑物。值得指出的是,对于遵循隐式方案的经典动态分析,与初始模式形状相比,瑞利阻尼似乎很好地考虑了具有较高阻尼比的高频较高模式。因此,应该对文献中的显式方案进行修改,以准确地考虑较高模态的适当阻尼,这对于评估长周期和宽频率范围的结构(例如高层建筑)的总体响应至关重要。与初始模式形状相比,瑞利阻尼似乎很好地考虑了具有更高阻尼比的高频更高模式。因此,应该对文献中的显式方案进行修改,以准确地考虑较高模态的适当阻尼,这对于评估长周期和宽频率范围的结构(例如高层建筑)的总体响应至关重要。与初始模式形状相比,瑞利阻尼似乎很好地考虑了具有更高阻尼比的高频更高模式。因此,应该对文献中的显式方案进行修改,以准确地考虑较高模态的适当阻尼,这对于评估长周期和宽频率范围的结构(例如高层建筑)的总体响应至关重要。

更新日期:2021-02-03
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