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转动PTMD对高层结构地震反应的控制效果分析

Control Efficiency Analysis of Rotational Passive Tuned Mass Dampers on Earthquake Responses of High-rise Structures

【作者】 房亮

【导师】 邹祖军;

【作者基本信息】 同济大学 , 结构工程, 2007, 硕士

【摘要】 本文在平动调频质量阻尼器(PTMD)的基础上,提出了一种新的调频质量阻尼器形式——转动调频质量阻尼器,研究了平动PTMD模型和转动PTMD模型的构造,并对平动PTMD和转动PTMD系统进行了理论建模和模型的数值计算分析。此外,本文采用MATLAB中的SIMULINK工具箱对具有平动PTMD和转动PTMD控制下的高层结构进行动态仿真,得出了受控结构的动态反应,并分析了两种PTMD参数的变化对高层结构地震反应的影响。其中本文主要内容包括以下几个方面: 1 提出转动PTMD模型,给出其构造,运用达朗贝尔原理和虚功原理分别对平动PTMD和转动PTMD模型在剪切型、弯剪型和弯曲型高层结构下的振动方程进行理论推导。 2 将推导出的两种PTMD的振动方程写成状态空间形式,用MATLAB语言编制程序;采用SIMULINK工具箱建立动态仿真系统,并对阻尼矩阵的形成进行了讨论。 3 通过某十层混凝土结构和洛阳电视塔实例,分析了平动PTMD和转动PTMD与原结构的质量比、阻尼比、控制频率序号以及频率比等参数的变化对结构地震反应的影响,并给出了Benchmark评估标准。分析结果表明转动PTMD对高层结构地震反应的控制是有效的。 本文通过系统的理论分析和数值计算证明了转动PTMD可行性和有效性,为今后开发其对高层结构的风致反应的控制和非线性地震反应的控制打下良好的基础。

【Abstract】 An innovative tuned mass dampers based on translation passive tuned mass dampers (PTMD), rotational PTMD, is proposed in this dissertation. The construction of model, theoretic modeling of the translation PTMD and rotational PTMD, numerical computation are studied. Additionally, dynamic simulation is carried out through the SIMULINK toolbox in MATLAB to get dynamic response of controlled structure with the two PTMD. The effects of translation PTMD and rotational PTMD varying parameters on earthquake responses of the high-rise structures are also discussed. The main contents of this dissertation are listed as follows:1 The rotational PTMD and construction of model has been put forward. D’alembert’s principle and virtual work principle has been used to develop the vibration equations of the shear structures, curved scissors structures, flexure structures with translation PTMD and rotational PTMD.2 The vibration equations are inverted to the form of state space. And the code is programmed in MATLAB; dynamic simulation is carried out through the SIMULINK toolbox. The formation of damping matrix has also been discussed in this dissertation.3 Base on two engineering structures, a 10-story concrete building and luoyang tower, the effects of the two PTMD varying parameters, such as damping ratio, mass ratio, frequency ratio, frequency of PTMD, on earthquake responses are discussed. The evaluation criterion for benchmark problem is given and numerical results show that rotational PTMD can control the earthquake responses efficiently.The practicability and effectiveness of the rotational PTMD are approved through systematical theoretic modeling and numerical computation, which lays out foundation for developing the effects of rotational PTMD on wind response and nonlinear structure on earthquake response.

  • 【网络出版投稿人】 同济大学
  • 【网络出版年期】2007年 06期
  • 【分类号】TU973.2
  • 【被引频次】2
  • 【下载频次】114
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