基于三角面积坐标法的纤维梁-柱单元研究

摘要

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 .%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。