基于结构谱半径的离线迭代混合试验稳定性与收敛性分析  

Stability and convergence analysis of offline iterative hybrid testing based on structural spectral radius

作　　者：郑欢 孟丽岩 张佳辉 王涛 Zheng Huan;Meng Liyan;Zhang Jiahui;Wang Tao(Construction Institute,Guangdong Technology College,Zhaoqing 526100,China;School of Architecture&Civil Engineering,Heilongjiang University of Science&Technology,Harbin 150022,China)

机构地区：[1]广东理工学院建设学院,广东肇庆526100 [2]黑龙江科技大学建筑工程学院,哈尔滨150022

出　　处：《黑龙江科技大学学报》2025年第2期262-267,共6页Journal of Heilongjiang University of Science And Technology

基　　金：国家自然科学基金项目(52278173)。

摘　　要：为研究不同的结构动力参数放大矩阵谱半径下离线迭代混合试验数值计算的稳定性与收敛性变化规律,以安装Kevin减震器的单层框架为研究对象,通过调整Kevin减震器刚度,开展不同结构动力参数放大矩阵谱半径下的迭代混合试验数值模拟。结果表明:迭代混合试验数值计算稳定性与结构动力参数放大矩阵谱半径负相关,当谱半径分别为0.1、0.5、0.9、1.0、1.1、1.5、2.0时,结构位移时程完全收敛分别需要迭代21、56、94、103、112、136、159轮;谱半径每增加0.1,结构位移响应峰值误差增大约25倍。迭代收敛步数与迭代轮次正相关,且数值计算稳定性越强,迭代收敛越快。This paper aims to investigate the change law behind the numerical calculation stability and convergence of offline iterative hybrid testing under different spectral radius of structural dynamic paramete ramplification matrix.The study consists of taking Kevin shock absorber with the single-store frame as the object;and conducting the iterative hybrid testing numerical simulations by adjusting the stiffness of Kevin shock absorbers under different spectral radius of structural dynamic parameter amplification matrix.The results show that the stability of iterative hybrid testing numerical calculation is negatively correlated with the spectral radius of the structural dynamic parameter amplification matrix.When the spectral radius are 0.1,0.5,0.9,1.0,1.1,1.5 and 2.0 respectively,the complete convergence of the structural displacement time history requires 21,56,94,103,112,136 and 159 iterations respectively;and every 0.1 increase in the spectral radius,the peak error of the structural displacement response increases by 25 times approximately.The number of iterative convergence steps is positively correlated with the iteration number,and the stronger the numerical stability is,the faster the iterative convergence presents.

关 键 词：混合试验 离线迭代 谱半径 收敛性 稳定性 

分 类 号：TU317[建筑科学—结构工程]