摘要
针对考虑剪切变形的等截面欧拉梁单元的刚度矩阵推导问题,笔者以形函数为基础,根据虚功原理,在不计入剪切变形欧拉梁单元的刚度矩阵的基础上,系统给出了计入剪切变形的欧拉梁单元刚度矩阵推导过程,并与ANSYS中Beam4单元刚度矩阵进行了对比研究。研究结果表明:ANSYS中的Beam4单元为可计入剪切变形的欧拉梁单元,并且通过与Beam188单元的应用对比,明确其适用性与Beam188单元一致,即长细比应满足ANSYS的建议值GAL2/EI>30。
The proposed study was initiated to make clear the derivation process of stiffness matrix of the equal cross-section Euler beam element considering shear deformation.The derivation process of the stiffness matrix of the Euler beam element with shear deformation was systematically given,and the comparison study on stiffness matrix of Beam4 element in ANSYS was carried out on the basis of the shape function,according to the principle of virtual work.The results show that the Beam4 element in ANSYS is a Euler beam element which can take into account the shear deformation.Through the application comparison with Beam188 element,it is clear that its applicability is consistent with Beam188 element,that is,the slenderness ratio should meet the recommended value of ANSYS GAL 2/EI>30.
作者
张军锋
尹会娜
孙大勇
李杰
陈淮
ZHANG Junfeng;YIN Huina;SUN Dayong;LI Jie;CHEN Huai(School of Civil Engineering,Zhengzhou University,Zhengzhou 450001,Henan,China;China Construction Seventh Engineering Division CORP.LTD Zhengzhou 450004,Henan,China)
出处
《重庆交通大学学报（自然科学版）》
CAS
CSCD
北大核心
2020年第9期59-66,共8页
Journal of Chongqing Jiaotong University(Natural Science)
基金
国家自然科学基金项目(51508523)。
关键词
桥梁工程
欧拉梁
单元刚度矩阵
形函数
剪切变形
bridge engineering
Euler beam
element stiffness matrix
shape function
shear deformation
