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| Wind vibration response analysis of a generalized Maxwell viscoelastic damped energy dissipation structures with supports |
| Received:November 23, 2022 Revised:January 24, 2023 |
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| DOI：10.7511/jslx20221123001 |
| KeyWord:supports generalized Maxwell model viscoelastic dampers Davenport wind speed spectrum wind vibration response spectral moments |
| Author | Institution |
| 李创第 |
广西科技大学 土木建筑工程学院, 柳州 |
| 杨雪峰 |
广西科技大学 土木建筑工程学院, 柳州 |
| 李宇翔 |
广西科技大学 土木建筑工程学院, 柳州 |
| 葛新广 |
广西工学院 土木建筑工程学院, 柳州 |
| 王昌盛 |
黄淮学院 建筑工程学院, 驻马店 |
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| Abstract: |
| Viscoelastic dampers are connected to a structure by using supports during installation.In the analysis of the stochastic response of energy-consuming structures with viscoelastic dampers,the stiffness of the supports is often considered infinite or the influence of the support stiffness is often ignored in order to simplify the simulation process.In fact,it is more practical to consider the influence of brace stiffness.Aiming at the complicated process of wind-induced vibration response analysis of viscoelastic damping energy dissipation structures considering the influence of brace stiffness,a concise analytical solution based on Davenport spectrum for wind vibration response of generalized Maxwell viscoelastic damping energy dissipation structures considering brace stiffness is proposed.Based on the differential constitutive model of a generalized Maxwell viscoelastic damper,the equivalent constitutive relation of the viscoelastic damper considering support stiffness is presented.The equivalent constitutive relation of the viscoelastic damper is combined with the equation of the structural motion,and the complex mode method is used to decouple them,and the unified expression of the structural wind-induced response is obtained.The series response power spectral density function of the energy dissipation structure under Davenport wind speed spectrum is decomposed into the product form of frequency domain response function and Davenport power spectral density function.Based on the definition of spectral moment in random vibration theory,the expression of series response spectral moment without integral term is obtained after integrating the response power spectral density function.In the example,the accuracy of the proposed method is verified by comparing with the results of the virtual excitation method,and the influence of the support stiffness on the energy dissipation system is analyzed. |
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