基于三角面积坐标法的纤维梁-柱单元研究
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摘要
借助三角面积坐标法对三角形网格内的纤维应变和纤维应力进行线性插值,利用三角面积坐标的数值特性对纤维梁-柱单元截面刚度矩阵中除扭转项外的其余项进行解析推导,并得出纤维梁-柱单元截面抗力的近似表达式。数值研究表明:对于具有相同纤维单元数的纤维梁-柱单元,三角面积坐标法可以提高算法的计算精度。
This paper performs linear interpolation for fiber strain and stress in triangular grids with the help of the triangle area coordinate method,analyzes and derives the other items than torsion items in sectional stiffness matrix of fiber beam- column units by means of numeric characteristics of triangle area coordinates,and obtains approximate expression for sectional resistance of fiber beam- column units. The numeric research shows that the triangle area coordinate method can improve computational accuracy of algorithm for fiber beam- column units with the same number of fiber units.
This paper performs linear interpolation for fiber strain and stress in triangular grids with the help of the triangle area coordinate method,analyzes and derives the other items than torsion items in sectional stiffness matrix of fiber beam- column units by means of numeric characteristics of triangle area coordinates,and obtains approximate expression for sectional resistance of fiber beam- column units. The numeric research shows that the triangle area coordinate method can improve computational accuracy of algorithm for fiber beam- column units with the same number of fiber units.
引文
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[4]陈滔.基于有限单元柔度法的钢筋混凝土框架三维非弹性地震反应分析[D].重庆:重庆大学,2003.
[5]艾庆华.钢筋混凝土桥墩抗震性态数值评价与试验研究[D].大连:大连理工大学,2008.
[6]周凌远,李乔.钢筋混凝土梁非线性有限元分析方法[J].工程力学,2011,28(1):82-86.
[7]周凌远,李乔,张士中.采用有限单元法计算梁任意形状截面特性[J].计算力学学报,2008,25(5):634-639.
[8]蒋友谅.有限元法基础[M].北京:国防工业出版社,1980.
[9]朱伯芳.有限单元法原理与应用(第3版)[M].北京:中国水利水电出版社,2009.
[10]王洪军,董建伟,宋强.有限元法计算惯性矩及转动惯量[J].石家庄铁路职业技术学院学报,2006(5):50-54.
[2]Taucer F F,Spacone E,Filippou F C.A fiber beamcolumnelement for seismic response analysis of reinforced concretestructures[R].Berkeley:EERC of University of California,1991.
[3]Spacone E,Ciampi V,Filippou F.C.Mixed formulation of nonlinear beam finite element[J].Computer&Structure,1996,58(1):71-83.
[4]陈滔.基于有限单元柔度法的钢筋混凝土框架三维非弹性地震反应分析[D].重庆:重庆大学,2003.
[5]艾庆华.钢筋混凝土桥墩抗震性态数值评价与试验研究[D].大连:大连理工大学,2008.
[6]周凌远,李乔.钢筋混凝土梁非线性有限元分析方法[J].工程力学,2011,28(1):82-86.
[7]周凌远,李乔,张士中.采用有限单元法计算梁任意形状截面特性[J].计算力学学报,2008,25(5):634-639.
[8]蒋友谅.有限元法基础[M].北京:国防工业出版社,1980.
[9]朱伯芳.有限单元法原理与应用(第3版)[M].北京:中国水利水电出版社,2009.
[10]王洪军,董建伟,宋强.有限元法计算惯性矩及转动惯量[J].石家庄铁路职业技术学院学报,2006(5):50-54.
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