基于几种有限元时域积分法的三角桁架结构位移响应辨识准确性分析  

Accuracy Analysis of Displacement Response Identification in Truss Structure Using Finite Element Time-domain Integration Methods

作　　者：杨宽信 刘思南 YANG Kuanxin;LIU Sinan(Guangxi Area of Country Garden Group Real Estate,Guigang 537399,China;Tianjin Chengjian University,Tianjin 300384,China)

机构地区：[1]碧桂园集团房地产广西区域,广西贵港537399 [2]天津城建大学,天津300384

出　　处：《天津城建大学学报》2024年第4期254-260,共7页Journal of Tianjin Chengjian University

摘　　要：本文推导了四种有限元时域积分法,并将其应用于三角桁架结构,进行位移识别响应的计算模拟和准确性分析.采用有限元法分别建立刚度矩阵和质量矩阵,确定时间步长大小,并根据模态叠加法的解来确定不同时域积分法的自由度位移误差计算.结果显示,通常情况下时间步长系数τ=1/3可以提供最佳的准确性.与其他方法相比,Wooram Kim两阶段显式时域积分法能够保证较高的位移识别准确性,在拐点处呈现小超调量,使其在模拟计算中具有较高的稳定性.This article derived four finite element time-domain integration methods and applied them to calculate and analyze the accuracy of displacement identification response in triangular truss structures through simulation.The stiffness matrix and mass matrix were established separately by using the finite element method,and the size of the time step was determined.The degree of freedom displacement error calculation of different time-domain integration methods was determined based on the solution of the modal superposition method.The results show that under normal circumstances,a time step coefficient ofτ=1/3 can provide the best accuracy.Compared with other methods,Wooram Kim′s two-stage explicit time-domain integration method can ensure higher accuracy of displacement identification,present small overshoot at inflection points,and have higher stability in simulation calculations.

关 键 词：时域积分法 结构动力学 三角形桁架结构 有限元法 

分 类 号：TU311.4[建筑科学—结构工程]