| 平面曲杆分析的边值法 |
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| 引用本文： | 钟岱辉 时希柏 等. 平面曲杆分析的边值法[J]. 山东建筑工程学院学报, 2001, 16(3): 13-18 |
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| 作者姓名： | 钟岱辉 时希柏 等 |
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| 作者单位： | [1]山东建筑工程学院土木工程系，山东济南250014 [2]烟台市第一监理公司，山东烟台264000 |
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| 摘 要： | 根据矩阵结构分析理论，基于节点柔度矩阵和节点刚度矩阵，给出了平面曲杆单元刚度矩阵建立的统一构式，同时对曲杆单元节点荷载的计算给出了相应的计算公式，公式中考虑了曲杆的轴变和温变效应。建立了曲杆结构体系基本递归矩阵和派生递归矩阵，给出了平面曲杆体系位移边值分析的递归构式。采用曲杆计算精度高，需要的单元数目少，位移边值法的使用使计算工作量大大减少，而且编程简单。文中的分析方法和过程可用于平面折杆系结构的分析，可以推广应用于空间曲、折杆系结构的分析。
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| 关 键 词： | 平面曲杆 节点柔度矩阵 轴变效应 温度效应 边值递归分析 |
Boundary value method on the analysis of plane curved bar |
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| ZHONG Dai-hui et al.. Boundary value method on the analysis of plane curved bar[J]. Journal of Shandong Institute of Architecture and Engineering, 2001, 16(3): 13-18 |
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| Authors: | ZHONG Dai-hui et al. |
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| Abstract: | This paper, according to the matrix analysis theory, the nodal flexibility and nodal stiffness matrix of the finite element, presents the general procedure establishing the element stiffness equation of the curved bar, gives the nodal load formula of the member taking into account the effects of axial strength and the temperature on the bar. Furthermore, the basic and derived recursive matrix and recursive procedure of the boundary value aralysing method for the plane curved bar system. The method and procedure can be used to analyse the flexed bar system of the plane and space. |
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| Keywords: | plane curved bar nodal flexibility matrix axial strength effect temperature effect recursive boundary value analysis |
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