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粘滞和粘弹性阻尼耗能结构的随机风振响应与等效静态风荷载取值
The Response of Wind-induced Vibration and the Equivalent Static Wind Load of Structures with Viscous and Viscoelastic Dampers
【作者】 骆鸿林;
【导师】 李创第;
【作者基本信息】 广西工学院 , 结构工程, 2011, 硕士
【摘要】 为获得耗能结构的随机风振响应的等效阻尼和等效静态设计风荷载的分析方法,本文进行了如下研究工作:1、运用频率响应法,分析广义粘滞和Maxwell粘弹性阻尼器耗能结构的频率响应特性,进而求得耗能结构基于Davenport风谱的风振响应和等效静态风荷载取值的解析解。2、运用随机平均法,分析了带支撑一般积分型模型、一般微分模型、一般分数导数模型粘滞和粘弹性阻尼器耗能结构基于Davenport风谱单振型和多振型的随机风振响应和等效静态设计风荷载的近似解析解;并基于与随机平均分析完全相同的等效准则,建立了耗能结构各振型的等效阻尼比,使耗能结构抗风设计化为非耗能常规结构的抗风设计。
【Abstract】 The analytical solution of the equivalent damping rate and the equivalent static design wind load of the energy dissipation structure is obtained. The major work of this thesis is as following:1. The frequency response analysis method is apllied to analyse the frequency response characteristic of the response of the random wind-induce vibration based on Davenport spect- rum of the structure with Maxwell viscous and viscoelastic dampers, and then the analytical solution of the response of the random wind-induce vibration and the equivalent static design wind load is gained.2. The response of the random wind-induce vibration based on Davenport spectrum of the energy dissipation structure with viscous and viscoelastic dampers is researched by the stochastic averaging method. Damper models include general integral model, general differ- ential model and general fractional derivative model. And by the stochastic averaging method and the equivalent criterion of strochastic averaging analysis, the equivalent damping rate of the structure is obtained, which transfered the energy dissipation structures with dampers into ordinary structures.
【Key words】 Frequency Response Analysis; Analytical Solution; General Integral Model; General Differential Model; General Fractional Derivative Model.; Stochastic Averaging Method; Viscous and Viscoelastic Dampers; Davenport Spectrum;