精细塑性铰法理论研究及面向对象程序设计

Study on Refined Plastic Hinge Analysis and Object-oriented Program Design

建立考虑剪切变形影响的精细塑性铰法的空间梁柱单元,可以考虑残余应力引起的刚度退化和塑性沿截面的渐进屈服,单元刚度矩阵包含了轴向、弯曲和扭转等位移之间的耦合影响。根据面向对象的程序设计思想,将整个有限元域划分为八个基本类,在单元基类的基础上派生了新的单元类,采用C++语言编制了面向对象的空间钢结构高等分析程序。几何、材料非线性算例分析结果表明,本文提出的理论分析方法和计算程序是正确的和高效的。

For the purpose of refined plastic hinge analysis of 3-D steel frames, a spatial beam-column element considering the shear deformation effects is presented, which can account for the gradual yielding of the section and the reduction of the element stiffness due to distributed plasticity resulted from residual stresses. The coupling terms between axial, lateral and torsional displacements are included in the element stiffness matrix. Based on the object-oriented design conception, the finite element analysis domain is divided into eight classes. A new class is derived from the Base Element class. Using C＋＋ language, an advanced spatial steel frame analysis program is complied. Numerical examples including both geometric and material nonlinearities are used to demonstrate the accuracy and efficiency of the proposed analytical method and computer program.