半刚性连接钢框架静力分析的精细传递矩阵法

摘要

Aiming at the problem that the steel frame with semi-rigid connection has certain influence on the force behavior of structures,the precise transfer matrix method was utilized to perform the static analysis on the steel frame.The moment-rotation behavior of beam-to-column joints with semi-rigid connection was simulated with a three-parameter mechanical model,and the semi-rigidity of the joint connection was simulated with helical springs.According to the principle of precise transfer matrix method and the equilibrium differential equation of structures,the precise transfer matrix for the static analysis on the steel frame with semi-rigid connection was derived.In addition,the corresponding calculation program was compiled,and some example calculation was carried out.The calculated results indicate that the proposed method is correct and efficient,and can be used for the initial design and final check-up of structures.The semi-rigidity of beam-to-column connection will make the internal force of structures redistribute.During the analysis or design of steel frame structures,the influence of semi-rigid connection should be considered.%针对半刚性连接钢框架对结构受力产生一定影响的问题,利用精细传递矩阵原理对其进行静力分析.采用三参数力学模型模拟半刚性连接梁柱节点的弯矩-转角性能,用螺旋弹簧模拟节点连接的半刚性.根据精细传递矩阵法原理和结构的平衡微分方程,推导了半刚性连接钢框架静力分析的精细传递矩阵,编制了相应的计算程序,并进行了算例计算.算例结果表明,该方法正确有效,可用于结构的初步设计和最终校核;梁柱连接的半刚性使结构的内力发生重分布,进行钢框架结构分析及设计时应考虑半刚性连接的影响.