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Stochastic Response Characteristic and Equivalent Damping of Weak Nonlinear Energy Dissipation System under Biaxial Earthquake Action
Joint Authors
Xia, Yu
Wu, Ze
Kang, Zhemin
Li, Chuangdi
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The random response characteristic of weak nonlinear structure under biaxial earthquake excitation is investigated.
The structure has a SDOF (single degree of freedom) with supporting braces and viscoelastic dampers.
First, it adopts integral constitutive relation and establishes a differential and integral equations of motion.
Then, according to the principle of energy balance, the equation is linearized.
Finally, based on the stochastic averaging method, the general analytical solution of the variance of the displacement and velocity response and the equivalent damping is deduced and derived.
At the same time, the joint probability density function of the amplitude and phase and displacement and velocity of the energy dissipation structure are also given.
The dynamic characteristics of a structure with viscoelastic dampers are determined as a solution to the variance of displacement response, so the equivalent damping is taken into consideration as a solution to replace the original nonlinear damping.
It means it has established a unified analytical solution of stochastic response analysis and equivalent damping of a SDOF nonlinear dissipation structure with the brace under biaxial earthquake action in this paper.
American Psychological Association (APA)
Xia, Yu& Wu, Ze& Kang, Zhemin& Li, Chuangdi. 2017. Stochastic Response Characteristic and Equivalent Damping of Weak Nonlinear Energy Dissipation System under Biaxial Earthquake Action. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191832
Modern Language Association (MLA)
Xia, Yu…[et al.]. Stochastic Response Characteristic and Equivalent Damping of Weak Nonlinear Energy Dissipation System under Biaxial Earthquake Action. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1191832
American Medical Association (AMA)
Xia, Yu& Wu, Ze& Kang, Zhemin& Li, Chuangdi. Stochastic Response Characteristic and Equivalent Damping of Weak Nonlinear Energy Dissipation System under Biaxial Earthquake Action. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1191832
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1191832