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被动减振控制结构基于Davenport谱风振响应、优化和风荷载取值分析

The Analysis of the Wind Response、Optimum Design and Wind Action Calculation Based on Davenport Spectrum of Passice Controled Structures

【作者】 葛新广

【导师】 李创第;

【作者基本信息】 广西大学 , 结构工程, 2008, 硕士

【摘要】 随着科学技术的进步和社会的发展,高层建筑和高耸结构不断的出现,并向着高强轻质的方向发展,结构的刚度和阻尼在不断的下降。作为高层建筑和高耸结构主要荷载的风,对结构的影响也在加大。通过风振控制技术,能够有效地减小结构的风振响应,提高结构的可靠性以及满足舒适度的要求,减少风灾造成的损失。目前,许多类型的被动控制装置均应用于工程实际。由于这些结构体系在风荷载作用下动力方程中的阻尼矩阵为非经典情形,甚至质量和刚度矩阵是非对称的,传统的实模态分析方法(振型分解法)不能使动力方程解耦,因此本文运用复模态分析方法分析了上述结构随机风载响应、优化设计和等效风荷载取值。主要内容如下:1.对于需考虑单个振型的结构,在进行随机风振响应分析中,分别建立了带五种被动减振器、基础隔震、粘弹性阻尼器和悬吊摆的高层建筑和高耸结构的振动方程,运用复模态方法对结构风振的运动微分方程进行解耦,获得结构随机风振响应的解析解;对于带上述被动控制结构,考虑其多个振型的风振响应分析,运用复模态方法,获得结构随机风振响应的计算表达式。2.对于单振型的带五种被动减振器被动控制结构,在以结构反应、控制装置反应动力可靠性约束及控制装置参数约束条件下,以结构的平均最大风振位移作为目标函数,使其极小,利用复形法对被动控制参数进行优化优化设计,建立了基于动力可靠性约束的结构风振控制优化设计方法。3.对于新型振动控制结构巨—子结构,进行随机风振响应分析,列出了振动方程,对主体结构按多振型展开,对子结构按单振型展开,运用复模态理论对结构风振的运动微分方程进行解耦,获得了该类型结构随机风振响应的计算表达式。4.对于存在耦合的高耸结构,如大跨度输电塔,进行随机风振响应分析,列出了振动方程,运用复模态理论对结构风振的运动微分方程进行解耦,获得了该类型结构随机风振响应的计算表达式。

【Abstract】 With the advance of science and the development of society,more and more tall buildings appeared,and are developing toward the direction of high strength and light mass.The stiffness and damping of structures are declining. The effect of the wind,as the main load to the tall buildings,to the structures is aggravating.Through the way of control of wind-induced vibration,the wind-induced response of structures is reduced effectively,the reliability is improved and comfort requirement is satisfied.Wind-induced damage is reduced.At present,many sorts of passive control devices are gradually applying in the engeering projects.Because of the damping matrixes of all of these structures’motion equations are non-classical,even the mass and stiffness matrixes of them are non-symmetry,so the dynamic equation can’t be decoupled by the traditional real-mcode analysis(the mode-superposition method).Though, in this thesis the complex-mode analysis is used to solve the stationary random wind response、optimum design and wind action calculation of structures.The thesis includes the following content: 1、With regard to the first mode or mutli-modes of the tall buildings or high-rise structures with five sorts of passive dampers or base-isolated device or viscoelastic damper or suspanded pendulum,using the complex-mode analysis, the wind responses of the above structures are got base on Davenport spectrum.2、On the basis of the above analytic expressions,taking the isolation or seismic decrease coefficient(the ratio of the standard deviation of the response of structures)as the optimal objective function,under the constraint of dynamic reliability of the isolated equipment based on the type of Poisson,the optimal design parameters of isolated equipment are got.3、With regard to mega subconfiguration structure considered as a new kind of passive controlled device,the oscillation equations of all the struture are established,and the equations of the main structure are expanded according to its multi modes and the equations of the subconfiguration are expanded according to its first mode;using the complex-mode analysis and random wind response theories,the wind responses of the structures are got base on Davenport spectrum.4、With regard to oupled tall building such as long-span transmission tower the oscillation equations of it are established,using the complex-mode analysis and random wind response theories,the wind responses of the structures are got base on Davenport spectrum.

  • 【网络出版投稿人】 广西大学
  • 【网络出版年期】2008年 12期
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