采用截面组合法推导工字形或H形截面的屈服方程,并在端部和跨内分别假想有一个零长度的弹簧考虑截面的刚度,提出了有分布荷载作用的杆件仅使用一个单元就能准确模拟跨内塑性铰的钢框架高等分析方法。通过对引入的非节点自由度进行凝聚,使得所提出的单元与常规单元具有相同的节点自由度。该方法还利用稳定函数考虑单元的剪切变形和几何非线性、初始屈服方程中考虑残余应力、折减弹性模量法考虑初始缺陷。算例结果表明,采用所提出的方法可得到高效率和高精度的结果。
The yield function of an I or H section is derived by using the section assemblage concept, and an advanced analysis method of steel frames is proposed by assuming a spring with zero-length at the end and inner part of an element to consider the cross-sectional stiffness. It is demonstrated that the plastic hinge at the inner part of the element can be well predicted, based on the proposed method, by only using one element for the members subjected to distributed loads. The proposed element has the same nodal degree of freedom as a conventional element by condensing the non-nodal degree of freedom introduced in the derivation. In the proposed method, the stability function is used to consider the shear deformation and geometric nonlinearity, and the residual stress is considered in the initial yield function. Also, the reduced tangent modulus method is used to consider the influence of initial imperfections. Numerical analysis shows that the proposed method has a high accuracy and efficiency.