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Stability of an explicit time-integration algorithm for hybrid tests, considering stiffness hardening behavior

查看全文 作  者:Wang [1]Tao;Zhou [1]Huimeng;Zhang [1]Xipeng;Ran [1]Tianran 高影响力作者 机构地区:[1]Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,CEA高影响力机构 出  处:《Earthquake Engineering and Engineering Vibration》索引2018年第17卷第3期,共12页高影响力期刊 基  金:Scientific Research Fund of the Institute of Engineering Mechanics,CEA under Grant Nos.2017A02,2016B09 and 2016A06;the National Science-technology Support Plan Projects under Grant No.2015BAK17B02;the National Natural Science Foundation of China under Grant Nos.51378478,51408565,51678538 and 51161120360 摘  要:An explicit unconditionally stable algorithm for hybrid tests,which is developed from the traditional HHT-α algorithm,is proposed.The unconditional stability is first proven by the spectral radius method for a linear system.If the value of α is selected within [-0.5,0],then the algorithm is shown to be unconditionally stable.Next,the root locus method for a discrete dynamic system is applied to analyze the stability of a nonlinear system.The results show that the proposed method is conditionally stable for dynamic systems with stiffness hardening.To improve the stability of the proposed method,the structure stiffness is then identified and updated.Both numerical and pseudo-dynamic tests on a structure with the collision effect prove that the stiffness updating method can effectively improve stability. 关 键 词:稳定性测试 集成算法 混血儿 时间 行为 硬变 非线性 显示
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