作　　者： ; ;

机构地区： 同济大学土木工程学院桥梁工程系

出　　处： 《工程力学》 2010年第3期67-73,共7页

摘　　要： 针对现有箱梁分析方法普遍存在的计算精度与计算效率之间矛盾的问题,提出了粗网格划分下的箱梁三维实体有限元分析方法。在充分考虑箱梁受力变形特点的基础上,以修正的Hellinger-Reissner变分原理为基础,通过合理引入非协调位移插值项,构造出直角坐标系下的六面体八结点杂交应力单元8N21β和柱坐标系下的六面体八结点杂交应力单元8N21βc,分别用于粗网格划分下的直箱梁和曲线箱梁的三维实体有限元分析。数值算例表明:8N21β单元和8N21βc单元在粗网格划分下具有较高的计算精度,能有效提高箱梁三维实体有限元分析的计算效率。 To resolve the universal contradiction between the computation accuracy and the computation efficiency in present analysis methods of box girders,the 3-D finite element analysis method of box girders with coarse mesh is proposed.Considering the deformation characters of box girders,two 8-node hexahedral hybrid stress elements with the name of 8N21β and 8N21βc are developed.The construction of the two elements is based on the modified Hellinger-Reissner variation principle with unconforming displacement functions.The 8N21β element is constructed in Cartesian coordinates and can be used for the 3-D finite element analysis of straight box girders,and the 8N21βc element is constructed in cylindrical coordinates and can be used for the 3-D finite element analysis of curved box girders.The numerical examples indicate that the two elements can yield good results under coarse mesh in the 3-D finite element analysis of box girders,and the computation efficiency can be much improved.

关 键 词： 箱梁 粗网格 杂交应力 三维分析 有限元

领　　域： [建筑科学] [交通运输工程]