中文摘要：

为了解决平面杆元在相交处可能存在的刚性连接问题，根据带刚臂平面杆元在受力后的运动和变形特点，基于UL法，推导出两端带任意刚臂的平面杆元的切线刚度矩阵．利用该研究成果编制了程序，对无刚臂和有刚臂的平面杆结构进行几何非线性分析．计算结果证明了这种非线性单元列式的正确性和非线性求解过程的收敛性．

英文摘要：

A UL formulation is proposed to address the nonlinear analysis of plane truss element with rigid arms in this paper. According to the characteristics of the motion and deformation of a rigid-ended plane truss element, an expression of non-linear tangent stiffness matrix is derived by UL procedure. A computer program is developed to analyze the geometrical nonlinear behavior of the plane truss with and without rigid arm. The results demonstrate that the proposed innovative element and algorithm are efficient and accurate together with satisfied convergence, and illustrate promising applicability for practical projects.