钢-混凝土混合结构地震反应分析的CCQC和FDCQC方法及其应用
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摘要
钢-混凝土混合结构是典型的非比例阻尼结构系统。通过将Rayleigh阻尼理论应用于各个结构单元,建议了一种适合于混合结构计算的非比例阻尼系统模型,并以此为基础在PMSAP软件中实现了用于非比例阻尼结构地震反应分析的CCQC方法和强迫解耦CQC方法(FDCQC)。通过对若干典型算例的地震反应分析计算,检验了FDCQC方法在钢-混凝土混合结构地震反应分析中的精度。结果表明,该非比例阻尼系统模型比较合理。FDCQC方法在钢-混凝土混合结构地震反应分析中的计算结果与比较精细的CCQC方法结果相当接近,误差一般不超过5%,可以满足工程要求。
Applying the Rayleigh damping theory onto individual members of the structure,it proposes a kind of damping model to handle the global non-proportional damping peculiarity of hybrid structure composed of steel and concrete.Based on the proposed damping model,the CCQC(Complex Complete Quadratic Combination) method and FDCQC(the forced decoupling CQC) method,which are two approaches that can be adopted in the earthquake response analysis of nonproportionally damped structure,are implemented in the PMSAP.Then,through computation and comparison for several typical example structures,the accuracy of FDCQC method in the earthquake response analysis of steel-concrete hybrid structure is verified.The results show that the non-proportional damping model proposed is reasonable and the computational results from the FDCQC method are very close to those from the CCQC method,a more delicate algorithm,and the relative error of FDCQC method is generally less than 5 percents compared to CCQC method.Hence,FDCQC method can be used as an effective tool in the earthquake response analysis of hybrid structure composed of steel and concrete.
Applying the Rayleigh damping theory onto individual members of the structure,it proposes a kind of damping model to handle the global non-proportional damping peculiarity of hybrid structure composed of steel and concrete.Based on the proposed damping model,the CCQC(Complex Complete Quadratic Combination) method and FDCQC(the forced decoupling CQC) method,which are two approaches that can be adopted in the earthquake response analysis of nonproportionally damped structure,are implemented in the PMSAP.Then,through computation and comparison for several typical example structures,the accuracy of FDCQC method in the earthquake response analysis of steel-concrete hybrid structure is verified.The results show that the non-proportional damping model proposed is reasonable and the computational results from the FDCQC method are very close to those from the CCQC method,a more delicate algorithm,and the relative error of FDCQC method is generally less than 5 percents compared to CCQC method.Hence,FDCQC method can be used as an effective tool in the earthquake response analysis of hybrid structure composed of steel and concrete.
引文
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[3]周锡元.一般有阻尼线性体系地震反应的振型分解方法[G]//中国地震工程研究进展,北京:地震出版社,1992.
[4]俞瑞芳,周锡元.非比例阻尼线性系统考虑过阻尼影响的复振型分解法[J].建筑结构学报,2006,27(1).
[5]俞瑞芳.非比例阻尼线性系统随机地震输入下的动力反应分析[D].北京:北京工业大学,2006.
[6]KIUREGHIAN A D,YUTAKA N.CQC modal combination rule forhigh-frequency modes,Earthq.Eng.Struct.Dyn.,1993,22(11).
[7]GB50011-2001建筑抗震设计规范[S].北京:中国建筑工业出版社.2001.
[8]CLOUGH RW,PENZIEN J.Dynamics of structures.Second edition[M].McGraw-Hill,Inc.,1993.
[9]黄吉锋.求解广义特征值问题的多重Ritz向量法[J].力学学报,1999,31(5).
[10]GH戈卢布,CF范洛恩.矩阵计算[M].袁亚湘等译,北京:科学出版社,2001.
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