钢筋混凝土结构三维模态pushover分析方法的改进
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摘要
三维多模态pushover分析方法(即三维MPA方法)为评估不规则结构的抗震性能提供了一种简便的方法。本文以与荷载相关的Ritz(LDR)向量组代替传统三维MPA方法中的振型向量组,自动滤除了对结构反应无贡献的相关模态,从而提高了结构三维MPA方法的计算效率。另一方面,本文提出了增大除"基本模态组"之外的高阶模态对应的目标位移,以考虑被截断的高阶模态对结构反应的影响,从而改善了结构三维MPA方法的计算精度。算例结果表明,改进后的结构三维MPA方法的计算效率效率大大提高,而结构反应计算结果的准确度有了显著的改善,可用于包括不规则高层建筑结构在内的各种房屋建筑结构的抗震变形验算及抗震性能评估。
Three dimensional modal pushover analysis(3D MPA) is a simple method for evaluating the seismic performance of irregular structures.The improvements of existing 3D MPA were done and outline that:(1)the exact vibration modes were replaced by load-dependent Ritz(LDR) vectors,the lateral load patterns based on the LDR vectors were established;(2)the target displacements corresponding to high order LDR vectors were magnified to include the influence of omitted load vectors.The example shows that the improved MPA method is of notable enhancement to accuracy and efficiency,and it is applicable to seismic response analysis of irregular high-rise structures.
Three dimensional modal pushover analysis(3D MPA) is a simple method for evaluating the seismic performance of irregular structures.The improvements of existing 3D MPA were done and outline that:(1)the exact vibration modes were replaced by load-dependent Ritz(LDR) vectors,the lateral load patterns based on the LDR vectors were established;(2)the target displacements corresponding to high order LDR vectors were magnified to include the influence of omitted load vectors.The example shows that the improved MPA method is of notable enhancement to accuracy and efficiency,and it is applicable to seismic response analysis of irregular high-rise structures.
引文
[1]Chopra A K,Goel R K.A modal pushover analysis procedure to estimate seismic demands for buildings[J].Earthquake Engineering andStructure Dynamics,2002,31:561-582.
[2]汪梦甫,周锡元.钢筋混凝土高层建筑弹塑性地震反应简化计算方法[J].计算力学学报,2002,19(4):482-487.
[3]Chopra A K,Goel R K.Modal pushover analysis of SAC buildings[C].Proceeding of the SEAOC,San Diego,California,2001
[4]Chintanapakdee C,Chopra A K.Valuation of the modal pushover analysis procedure using vertically“regular”and irregular genericframe[R].College of Engineering University of California,Berkeley,2002,47-161.
[5]汪梦甫,周锡元.高层建筑结构抗震弹塑性分析方法及抗震性能评估的研究[J].土木工程学报,2003,36(11):44-49.
[6]卢文生,吕西林.框架剪力墙结构模态静力非线性抗震分析方法研究[J].地震工程与工程振动,2005,25(1):58-66.
[7]Chopra A K,Goel R K.A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plane buildings:Theory andpreliminary evaluation[R].College of Engineering university of California,Berkeley,2003,1-39.
[8]汪梦甫.改进Ritz法在高层结构非线性动力计算中的应用[J].湖南大学学报,1997,24(5):75-78.
[9]Wilson E L,Yuan M,Dickens J M.Dynamic analysis by direct superposition of Ritz vectors.Earthquake Engineering and Structural Dy-namics,1982,10:813-821.
[10]爱德华L,威尔逊.结构静力与动力分析-强调地震工程学的物理方法(原著第四版)[M].北京:中国建筑工业出版社,2006,129-140.
[2]汪梦甫,周锡元.钢筋混凝土高层建筑弹塑性地震反应简化计算方法[J].计算力学学报,2002,19(4):482-487.
[3]Chopra A K,Goel R K.Modal pushover analysis of SAC buildings[C].Proceeding of the SEAOC,San Diego,California,2001
[4]Chintanapakdee C,Chopra A K.Valuation of the modal pushover analysis procedure using vertically“regular”and irregular genericframe[R].College of Engineering University of California,Berkeley,2002,47-161.
[5]汪梦甫,周锡元.高层建筑结构抗震弹塑性分析方法及抗震性能评估的研究[J].土木工程学报,2003,36(11):44-49.
[6]卢文生,吕西林.框架剪力墙结构模态静力非线性抗震分析方法研究[J].地震工程与工程振动,2005,25(1):58-66.
[7]Chopra A K,Goel R K.A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plane buildings:Theory andpreliminary evaluation[R].College of Engineering university of California,Berkeley,2003,1-39.
[8]汪梦甫.改进Ritz法在高层结构非线性动力计算中的应用[J].湖南大学学报,1997,24(5):75-78.
[9]Wilson E L,Yuan M,Dickens J M.Dynamic analysis by direct superposition of Ritz vectors.Earthquake Engineering and Structural Dy-namics,1982,10:813-821.
[10]爱德华L,威尔逊.结构静力与动力分析-强调地震工程学的物理方法(原著第四版)[M].北京:中国建筑工业出版社,2006,129-140.
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