考虑圣维南翘曲变形的初始扭转薄壁梁单元刚度矩阵  

THE PRE-TWISTED THIN-WALLED BEAM ELEMENT STIFFNESS MATRIX CONSIDERING THE SAINT-VENANT WARPING DEFORMATION

作　　者：陈昌宏[1] 黄莺[2] 单建[3] 

机构地区：[1]西北工业大学力学与土木建筑学院,西安710129 [2]西安建筑科技大学土木工程学院,西安710055 [3]东南大学土木工程学院,南京210096

出　　处：《工业建筑》2012年第4期60-64,共5页Industrial Construction

基　　金：国家自然科学基金项目(50678036);西北工业大学基础研究基金

摘　　要：基于传统薄壁直梁力学模型,对初始扭转薄壁梁有限元数值模型进行系统的分析与研究。首先基于初始扭转梁的几何变形微分关系,导出初始扭转薄壁梁圣维南翘曲应变。根据传统薄壁直梁有限元力学模型,考虑初始扭转梁圣维南翘曲变形,建立其有限元单元刚度矩阵。最后,通过椭圆截面初始扭转梁算例,并与ANSYS三维实体有限元分析结果进行对比分析,表明建立的考虑圣维南翘曲变形的初始扭转薄壁梁单元刚度矩阵具有良好的精度。Based on the traditional mechanical model of thin-walled straight beam,it is conducted a systematic analysis and research on the pre-twisted thin-walled beam finite element numerical model.Firstly,based on the geometric deformation differential relationship,it is deduced the pre-twisted thin-walled beam Saint-Venant warping strain.According to traditional thin-walled straight beam finite element mechanical model,it is also established its finite element stiffness matrix considering the Saint-Venant warping deformations.Finally,by calculating the pre-twisted elliptical section beam example,and contrasting three-dimensional solid finite element using ANSYS,the comparative analysis results show that pre-twisted thin-walled beam element stiffness matrix considering Saint-Venant warping deformation has a good accuracy.

关 键 词：初始扭转 薄壁梁 圣维南 翘曲变形 刚度矩阵 ANSYS 

分 类 号：TU323.3[建筑科学—结构工程]