摘要
从任意开口薄壁截面圆弧曲梁精确的翘曲位移出发 ,针对常见的单轴对称工字形、槽形和无对称轴的H形截面曲梁 ,通过参数分析找到一个统一的数学表达式 ,给出相应的应力、应变计算式。在这个基础上 ,依据大变形理论 ,建立了工字形截面圆弧曲梁非线性分析的基本理论 ,并考虑了横向正应力的影响。推导过程中未就材料性质做任何假定 ,所以该理论同样可以应用于曲梁弹塑性阶段的分析。最后给出单轴对称工字形截面两种常见放置条件下曲梁的总势能表达式。
Considering an exact warping displacement of any thin-walled and opening curving beam,an unified mathematical expression for corresponding stress and strain for familiar curving beam with section of monaxial symmetrical I-shape,troughlike and H-shape without symmetrical axis was given by analyzing parameters.Thereout a basic theory of nonlinear analysis for the round curving beam with section of I-shape is established by theory of large deformation,influence of transverse normal stress has been considered as well.The proposed theory is also applicable for elastic-plastic analysis since no approximation has been made for material property in the derivations. Total potential energy for buckling analysis of curved beams and simplified expressions for curved beams with mono-symmetrical I-section are also provided.
出处
《土木工程学报》
EI
CSCD
北大核心
2004年第4期1-7,共7页
China Civil Engineering Journal
关键词
圆弧曲梁
工字形
非线性分析
总势能
round curing beam
I-section
nonlinear analysis
total potential energy
