摘要
在结构连续化假定的基础上,将内筒和外筒视为铁摩辛柯梁,同时考虑内筒和外筒的剪切与弯曲变形,建立了筒中筒结构协同分析的哈密顿对偶体系,导出了相应的状态空间方程,其系统矩阵具有辛矩阵的特性,可用精细积分法求该体系的高精度数值解。提出了一套分析筒中筒结构协同工作的新方法,利用这种方法对筒中筒结构进行协同计算,计算简捷明了,编制的计算程序能应用于这类结构的初步分析,为结构方案的确定和结构设计提供了较为准确的依据。
By assuming the structure to be continuous,the Hamiltonian dual system of coordination analysis is established for tube-in-tube structures,in which the shears and flexures of the inter and the outer tubes are considered as Timoshenko beams. The state space equations are deduced,in which the system matrix has the symplectic characters. The high accuracy numerical solutions of the system are obtained using precise integration method. Thus a new method for coordination analysis of the tube-in-tube structures is proposed. Using the method in coordination analysis of the tube-in-tube structures is simple and clear. A computer program was also coded and it can be applied to the preliminary analysis of such structures,which provides a more accurate basis for structure plan determinations and structure designs.
出处
《工程力学》
EI
CSCD
北大核心
2007年第z1期150-153,共4页
Engineering Mechanics
基金
河北省自然科学基金资助项目(E2006000630)
河北省教育厅自然科学基金资助项目(2002147)
关键词
筒中筒结构
哈密顿对偶体系
协同分析
状态空间理论
精细积分法
tube-in-tube structure
Hamilton dual system
coordination analysis
state space theory
precise integration method