广义Maxwell阻尼耗能结构随机风振响应及近似风振作用取值

发布时间：2018-03-29 02:09

本文选题：随机风振　切入点：非经典阻尼　出处：《广西科技大学》2015年硕士论文

【摘要】：本文主要研究了带有支撑的粘弹性阻尼器结构在风振激励下的响应,文章分别采用普通及广义Maxwell粘弹性阻尼器模型根据近似及规范Davenport风谱,求解结构在随机风振作用下的响应,并作近似风荷载取值。针对带有阻尼系统的风振控制结构运动方程为非经典阻尼及非对称结构的特点,以往的实模态解耦条件以不能满足,故需运用复模态方法进行解耦;首先,将高层多自由度体系按第一振型展开,根据随机振动理论得到结构风振响应的解析式,从而建立了将结构分解成系列等效单自由度体系的方法;结合规范Davenport谱计算方法,经过复模态及扩阶法对结构进行解耦运算,获得带有普通及广义Maxwell阻尼结构基于现行规范Davenport谱的随机响应及等效风载取值的解析法。由于近似Davenport谱是非有理分式风谱的情况,首先需要通过线性滤波过程生成所需的脉动风谱,并将三参数拟合方程降阶为两个一阶的方程组,继而利用复模态方法及扩阶方法进行解耦运算,从而获得近似等效风谱对应的按第一振型表示的结构随机风振响应解析解。
[Abstract]:In this paper, the responses of viscoelastic dampers with braces to wind-induced vibration are studied. The general and generalized Maxwell viscoelastic damper models are used to solve the responses of the structures under random wind vibration according to the approximate and normal Davenport wind spectra. According to the characteristic that the motion equation of wind-induced vibration control structure with damping system is non-classical damping and asymmetric structure, the former real mode decoupling condition can not be satisfied, so the complex mode method should be used to decouple. First of all, according to the first vibration mode of the multi-degree-of-freedom system, the analytical formula of the wind-induced vibration response of the structure is obtained according to the random vibration theory, and the method of decomposing the structure into a series of equivalent single-degree-of-freedom systems is established, which is combined with the Davenport spectrum calculation method. By decoupling the structure with complex mode and extended order method, the analytical method of random response and equivalent wind load value of the structure with general and generalized Maxwell damping structure based on the current gauge Davenport spectrum is obtained. Because the approximate Davenport spectrum is not rational fractional wind spectrum, First of all, the pulsating wind spectrum should be generated through the linear filtering process, and the three-parameter fitting equation should be reduced to two first-order equations, and then the complex mode method and the extended order method should be used for decoupling operation. An analytical solution for the random wind-induced vibration response of a structure based on the first vibration mode is obtained, which is approximately equivalent to the equivalent wind spectrum.
【学位授予单位】：广西科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：TU311.3

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