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《Chinese Journal of Applied Mechanics》 2011-03
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Random response characteristics of dissipation structures with viscousand viscoelastic dampers

Li Chuangdi Ge Xinguang Lu Yunjun(Department of Civil Engineering,Guangxi Institute of Technology,545006,Liuzhou,China)  
By employing integral constitutive relations of dampers,the dynamic integro-differential earthquake response equation of SDOF dissipation structure with supporting brace and viscous and viscoelastic dampers in series is firstly established;By using stochastic averaging method,the analytical solutions of transient joint probability density function for structural amplitude and phase,for structural displacement and velocity are derived,the analytical solutions of transient mean-square values of structural displacement and velocity are established and the analytical solutions of structural amplitude dynamic reliability and arbitrary-order moments of amplitude first-passage time are obtained.The analytical formulas of the foregoing various random response characteristics for SDOF dissipation structure with supporting brace and generalized Maxwell model dampers and generalized differential model dampers in series are given,so the complete analytical solutions of the foregoing various random response characteristics for SDOF dissipation structure with supporting brace and arbitrary linear viscous and viscoelastic dampers in series are achieved.
【Fund】: 广西高校百名中青年学科带头人计划(RC20060814017);; 广西自然科学基金(0481001);; 广西科学基金(0575021);; 广西教育厅科
【CateGory Index】: TU352.1
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