基于MDEM的非线性半刚性空间钢框架的弹塑性动力分析  

ELASTOPLASTIC DYNAMIC ANALYSIS OF SPACE STEEL FRAMES WITH SEMI-RIGID JOINTS USING MDEM

作　　者：叶继红 许玲玲 YE Ji-hong;XU Ling-ling(Jiangsu Key Laboratory Environmental Impact and Structural Safety in Engineering,China University of Mining and Technology,Xuzhou 221116,China;He'nan University of Technology,College of Civil Engineering,Zhengzhou 450001,China)

机构地区：[1]中国矿业大学江苏省土木工程环境突变与结构可靠性重点实验室,徐州221116 [2]河南工业大学土木工程学院,郑州450001

出　　处：《工程力学》2025年第2期54-63,共10页Engineering Mechanics

基　　金：国家重点研发项目(2017YFC1500702)。

摘　　要：基于三维杆系离散元法(MDEM)提出了一种能够有效地进行具有半刚性节点的三维钢框架结构动力分析的计算方法,该法可同时考虑结构的几何非线性、材料非线性以及梁柱节点连接的半刚性非线性。其中,几何非线性行为利用刚体运动学进行处理,而材料非线性行为则通过引入精细塑性铰模型进行考虑。与此同时,该文中在半刚性节点处设置了虚拟的具有3个平动自由度和3个转动自由度的空间弹簧单元,该弹簧单元以线性分配的方式将三维梁柱节点的半刚性特性量化到与之相邻的接触单元各方向刚度,进而根据能量等效原理推导了上述接触单元刚度的修正公式,且通过独立硬化模型考虑了半刚性节点的非线性滞回性能。多个数值结果与已有研究成果的对比验证了该文所提方法的正确性和精确性。A novel and effective algorithm based on the member discrete element method(MDEM)is presented for dynamic analysis of space steel frames with semi-rigid joints,which incorporates nonlinear semi-rigidity of beam-to-column joints as well as material nonlinearity and geometric nonlinearity.The geometric nonlinearity is considered using rigid-body kinematics,while the inelasticity of material is modeled by introducing the defined plastic hinge model.Meanwhile,a virtual three-dimensional spring element with three translational degrees of freedom and three rotational degrees of freedom is proposed on the semi-rigid beam-column connection.The spring element quantifies the semi-rigidity of three-dimensional beam-column joints in a linearly distributed manner to the stiffness of the contact elements adjacent to these joints,and then the modified formula of the contact elements is derived through the energy equivalence principle.Additionally,the nonlinear cyclic behaviour of the beam-to-column connection is captured by the independent hardening model.The comparison between several sets of representative numerical results obtained by the proposed method and the published results verified the correctness and accuracy of the proposed method.

关 键 词：空间框架结构 三维杆系离散元 非线性半刚性节点 几何非线性 材料非线性 动力分析 

分 类 号：TU313[建筑科学—结构工程] TU323