筒中筒结构动力特性分析的状态空间法
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摘要
引入建筑结构状态变量的概念,用现代控制理论的状态空间方法,基于并联铁摩辛柯梁模型,建立筒中筒结构动力特性分析的哈密顿体系,用精细积分法求该体系的高精度数值解,给出了一套分析筒中筒结构动力特性的方法。这种方法能求出筒中筒结构各阶自振频率和相应的振型,精度较高,为筒中筒结构的动力计算打下了基础。
Introducing the state vectors concept of high-rise building,using the state space method in the modern control theory,and based on the parallel shear-bending beam model,this paper found the Hamilton dual solution system of dynamic characteristics analysis for the tube-in-tube structure.Then the precise integration method was adopted to realize the high-precision numerical solution of the system.Thus a set of integrated methods is developed to analyze the structure dynamic characteristics,which can determine natural frequencies and relevant vibration modes of the tube-in-tube structure with high precision,so as to lay a foundation for the dynamic computation of the tube-in-tube structure.For its good applicability,the method can be extended to the tube-in-tube structure with variable sections.
Introducing the state vectors concept of high-rise building,using the state space method in the modern control theory,and based on the parallel shear-bending beam model,this paper found the Hamilton dual solution system of dynamic characteristics analysis for the tube-in-tube structure.Then the precise integration method was adopted to realize the high-precision numerical solution of the system.Thus a set of integrated methods is developed to analyze the structure dynamic characteristics,which can determine natural frequencies and relevant vibration modes of the tube-in-tube structure with high precision,so as to lay a foundation for the dynamic computation of the tube-in-tube structure.For its good applicability,the method can be extended to the tube-in-tube structure with variable sections.
引文
[1]包世华,新编高层建筑结构设计[M].北京:中国水利水电出版社,2005.
[2]钱培风.结构抗震分析[M].北京:地震出版社,1983.
[3]胡启平,卢明.筒中筒结构协同分析的新方法[A].第15届全国结构工程学术会议论文集(I)[C].北京:《工程力学》杂志社,2007.302~305.
[4]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[5]蒯行成.筒体结构动力分析的有限条法[J].湖南大学学报,1990,17(3).
[2]钱培风.结构抗震分析[M].北京:地震出版社,1983.
[3]胡启平,卢明.筒中筒结构协同分析的新方法[A].第15届全国结构工程学术会议论文集(I)[C].北京:《工程力学》杂志社,2007.302~305.
[4]钟万勰.应用力学对偶体系[M].北京:科学出版社,2002.
[5]蒯行成.筒体结构动力分析的有限条法[J].湖南大学学报,1990,17(3).
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