天津城建大学学报2024,Vol.30Issue(4) :254-260.DOI:10.19479/j.2095-719x.2404254

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

杨宽信 刘思南
天津城建大学学报2024,Vol.30Issue(4) :254-260.DOI:10.19479/j.2095-719x.2404254

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

杨宽信 1刘思南2
扫码查看

作者信息

  • 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
  • 折叠

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.

Abstract

This article derived four finite element time-domain integration methods and applied them to calculate and ana-lyze the accuracy of displacement identification response in triangular truss structures through simulation.The stiffness ma-trix and mass matrix were established separately by using the finite element method,and the size of the time step was deter-mined.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 co-efficient of τ=1/3 can provide the best accuracy.Compared with other methods,Wooram Kim's two-stage explicit time-do-main 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

Key words

time integration method/structure dynamics/triangular truss structure/finite element method

引用本文复制引用

出版年

2024
天津城建大学学报
天津城市建设学院

天津城建大学学报

影响因子:0.385
ISSN:2095-719X
参考文献量2
段落导航相关论文