Time history integration calculation for theory of frequency dependent viscous damping

被引：0
|
作者：
Sun P. [1 ]
Yang H. [1 ,2 ]
Liu Q. [3 ]
机构：
[1] School of Civil Engineering, Chongqing University, Chongqing
[2] MOE Key Lab of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing
[3] School of Traffic and Environment, Shenzhen Institute of Information Technology, Shenzhen
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2019年 / 38卷 / 01期
关键词：
Complex damping; Frequency dependent; Stable convergence; Time history integration calculation; Viscous damping;
D O I：
10.13465/j.cnki.jvs.2019.01.019
中图分类号：
学科分类号：
摘要：
Viscous damping theory has some disadvantages, one of which is that energy consumption per cycle is related to external excitation frequencies. The general solution to the complex damping theory's motion equation contains divergent items. Here, with the principle of frequency domain conversion, the complex damping motion equation was equivalently converted into a frequency dependent viscous damping motion equation to overcome the disadvantage of the complex damping theory having instability in time domain, and guarantee energy consumption per cycle being independent upon external excitation frequencies. Using the relationship assumption of velocity and displacement and the principle of energy conservation, the frequency dependent viscous damping motion equation being suitable for time history calculation was built. Combining with the constant average acceleration method, the recursion expression for time history integration calculation of the frequency dependent viscous damping motion equation was derived. The calculation examples showed that the time history integration calculation results of the frequency dependent viscous damping theory are stably convergent to effectively avoid divergent problems in time history integration calculation of complex damping theory. © 2019, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：130 / 133and141
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