邓永琨. 求连续拱精确解的形变矩阵分配法——小矩阵法及其在连续拱桥设计中的应用[J]. 工程力学, 1987, 4(4): 54-64.
引用本文: 邓永琨. 求连续拱精确解的形变矩阵分配法——小矩阵法及其在连续拱桥设计中的应用[J]. 工程力学, 1987, 4(4): 54-64.
Deng Yunkun. A METHOD OF DISTRIBUTION OF DEFORMATION MATRIXES——THE METHOD OF LITTE MATRIXES FOR THE ACCURATE SOLUTION OF CONTINUOUS ARCH AND THE APLICATION TO DESIGN OF CONTINUOUS ARCH BRIDGE[J]. Engineering Mechanics, 1987, 4(4): 54-64.
Citation: Deng Yunkun. A METHOD OF DISTRIBUTION OF DEFORMATION MATRIXES——THE METHOD OF LITTE MATRIXES FOR THE ACCURATE SOLUTION OF CONTINUOUS ARCH AND THE APLICATION TO DESIGN OF CONTINUOUS ARCH BRIDGE[J]. Engineering Mechanics, 1987, 4(4): 54-64.

求连续拱精确解的形变矩阵分配法——小矩阵法及其在连续拱桥设计中的应用

A METHOD OF DISTRIBUTION OF DEFORMATION MATRIXES——THE METHOD OF LITTE MATRIXES FOR THE ACCURATE SOLUTION OF CONTINUOUS ARCH AND THE APLICATION TO DESIGN OF CONTINUOUS ARCH BRIDGE

  • 摘要: 本文推广捷克学者柯鲁塞克(C. V. Kloucek)的形变分配法57,把结点位移为一个未知量的情况推广到二个未知是的情况。采用二阶矩阵(文中称为小矩阵)来表示结点位移及传递系数等一切有关的量,进行推导整理,得到与形变分配法完全相同的公式形式。不过公式中符号不再是一个数而是一个二阶列阵或方阵,因此称为形变矩阵分配法。文中用此法求出多跨连续拱承受结点荷载的精确解;对于承受一般荷载情况,则再结合《拱桥设计计算手册》就可完全解决。文中还较仔细地考虑了拱座偏心、桥台移动、墩柱沉陷及温度影响的算法。公式形式规则整齐,计算简单易行,用普通计算器就可以完成全部计算。文中以某桥为实例作了计算,作出了拱顶弯矩和桥墩水平力影响线。《影响线的规律以及和单跨无铰拱影响线的比较可看出本文的算法是正确的。

     

    Abstract: In this paper C. V. Kloucek's method of distribution of deformation is extended from that there is only one node displacement to that there are two displacements at a node. We use matrixes of two orders (little matrixes) to indicate displacements, transmission coefficients as well as all the appropriate puanfities. After arranging and beriring we obtain the same forms with the method of distribution of deformation, then the signals in the formulas are not numbers but matrixes of two oders. After that an accurate solution of a continuous arch is presented. Combining "The manual of design of arch bridge" we are able to calculate the continuous arch bridge. In the end of the paper an engineering example isg iven and the result is satisfactory.

     

/

返回文章
返回