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根据框架结构的塑性铰形成机理，将传统的梁柱法与有限单元法相结合，建立了梁柱简化塑性区单元模式的弹塑性大位移增量刚度矩阵。它比较全面地考虑了轴力的Ｐ－Δ效应、结构大位移、轴力对杆件截面极限弯矩的影响、残余应力、横截面刚度退化和塑性区长度等几何和材料非线性因素的影响，可用于钢框架结构的弹塑性大位移分析。通过采用不同材料的弯矩－曲率关系，该单元刚度矩阵还可以推广应用于钢筋混凝土框架结构的双重非线性分析。本文的成果把Ｃ．Ｏｒａｎ［１］和Ｍ．Ｆ．Ｇｉｂｅｒｓｏｎ［２］的工作推进了一步。
According to the formation mechanism of the plastic hinge of the frame structure, the traditional beam-column method combined with the finite element method was used to establish the elasto-plastic large displacement incremental stiffness matrix for the simple plastic element model of the beam column. It comprehensively considers the effects of axial force P-Δ, structural large displacement, axial force on the ultimate bending moment of the bar section, residual stress, cross-sectional stiffness degradation, plastic zone length and other geometric and material nonlinear factors. , can be used for elasto-plastic large displacement analysis of steel frame structures. By using the moment-curvature relationship of different materials, the element stiffness matrix can also be applied to the dual nonlinear analysis of reinforced concrete frame structures. The results of this paper put C. Oran[1] and M. F. The work of Giberson[2] took a step forward.