Position: Home > Articles > THE DERIVATION OF ORIGINAL STIFFNESS MATRIX ON THE SPATIAL SOLID- BEAM ELEMENT
Journal of Inner Mongolia Agricultural University(Natural Science Edition)
2014
(2)
103-107
空间实体-梁单元原始刚度矩阵的推导
作 者:
周海龙;周水兴
单 位:
内蒙古农业大学水利与土木建筑工程学院;重庆交通大学土木建筑学院
关键词:
空间实体-梁单元;钢管混凝土;拱结构;刚度矩阵;推导
摘 要:
基于结构计算的矩阵位移法和钢管混凝土拱桥分析的纤维单元法,通过改进拱肋断面划分,选择合适的8结点等参元形函数,建立位移转换矩阵和坐标转换矩阵,同时借用纤维单元的概念,提出了空间实体-梁单元法,并对单拱肋圆形截面的钢管混凝土拱结构进行了空间实体-梁单元分析,推导了其原始刚度矩阵。同时为了验证推导的正确性,编制了专用的计算程序,计算了一个实验模型拱拱顶和拱脚截面的内力,并将其计算结果与矩阵位移法的分析结果和SAP2000的计算结果进行了比较,最大误差在5%以内。计算结果表明,该空间实体-梁单元刚度矩阵的推导是正确的。
译 名:
THE DERIVATION OF ORIGINAL STIFFNESS MATRIX ON THE SPATIAL SOLID- BEAM ELEMENT
作 者:
ZHOU Hai-long;ZHOU Shui-xing;College of Water Conservancy and Civil Engineering,Inner Mongolia Agricultural University;Civil Engineering and Architecture College,Chongqing Jiaotong University;
关键词:
Space solid-beam element;;concrete-filled steel tube;;arch structure;;stif&ieas matrix;;derivation
摘 要:
Based on matrix displacement method for arch structure and fiber element method for concrete-filled steel tube arch bridge,through improving division of section element on arch rib,chose appropriate 8-node shape function,built displacement transfonn matrix and coordinate tiansfonn matrix, simultaneously quoted fiber- element notion, this paper advanced the spatial solid- beam method, analyzed single arch rib circular section concrete- filled steel tube arch structure's internal forces with this method, and deducted this method's sti&ess matrix in detail. At the same time, in order to verify the deduction correct, the author wrote a special program, and calculates the Vault and Springer's internal force of one experiment model arch structure. The calculated result was compared with the analyzed result by matrix displacement method and the computed result by the s^ware of SAP2000,its maxitmim error is at the range of 5%.The calculated results indicate that the derivation of stifGoess matrix on the spatial solid- beam element is correct.