隔震结构非线性随机地震响应分析的复模态法
|
摘要
本文对多自由度双线性滞变隔震结构在过滤白噪声地震激励下的随机响应问题进行了系统研究。首先建立了结构非线性运动方程 ;然后根据非线性随机振动理论对运动方程进行等效线性化 ;最后用复模态法获得了等效线性方程的解析解 ,将复杂的非线性随机响应问题简化为求解一元非线性代数方程问题 ,并给出了算例。从而建立了多自由度隔震结构非线性随机响应复模态分析的一整套计算方法。
In the paper,the random earthquake response of structures with multi-degrees of freedom and nonlinear hysteretic base isolation subjected to filtered white noise earthquake excitation is studied systematically.The nonlinear dynamic equations are established and then are linearized to an equivalent system by nonlinear random vibration theory.The exact solutions of the linearized governing equations are obtained by complex modal method,and by using the exact solutions the complicated question of nonlinear random response is transformed into a simple question of nonlinear algebraic equation with one element.A calculating example is given. A complete set of calculating methods for complex modal analysis of nonlinear random response of structures with multi-degrees of freedom and base isolation are proposed.
In the paper,the random earthquake response of structures with multi-degrees of freedom and nonlinear hysteretic base isolation subjected to filtered white noise earthquake excitation is studied systematically.The nonlinear dynamic equations are established and then are linearized to an equivalent system by nonlinear random vibration theory.The exact solutions of the linearized governing equations are obtained by complex modal method,and by using the exact solutions the complicated question of nonlinear random response is transformed into a simple question of nonlinear algebraic equation with one element.A calculating example is given. A complete set of calculating methods for complex modal analysis of nonlinear random response of structures with multi-degrees of freedom and base isolation are proposed.
引文
1 IanG .Buckle,RonaldL .Mayer.SeismicIsolation:history,appli cation,andperformance_aworldview[J].EarthquakeSpectra,1990,6(2):135—148
2 NaeimF ,KellyJM .DesignofSeismicIsolatedStructures_fromTheorytoPractice[M].JohnWiley&SonsInc,1999
3 唐家祥.建筑结构基础隔震[M ].武汉:华中理工大学出版社,1992
4 周福霖.工程结构减震控制[M].北京:地震出版社,1997
5 建筑抗震设计规范(GB50011-2001)[S].北京:中国建筑工业出版社,2001
6 周锡元,阎维明,杨润林.建筑结构的隔震、减振和振动控制[J].建筑结构学报,2002,23(2):2—12
7 JangidRS .PerformanceofBasedIsolationSystemforAsymmetricBuildingSubjectedtoRandomExcitation[J].JournalofEngineer ingStructures,1995,17(6):443—454
8 PalazzoB .ResponseofBaseIsolatedSystemtoRandomExcitation[J].EuropeanEarthquakeEngineering,1996,10(2):751—767
9 江宜城等.基础隔震结构对随机激励的响应分析[J].世界地震工程,2002,18(2):39—42
10 朱东生等.单自由度双线性隔震装置地震反应研究[J].工程力学,2002,19(3):59—63
11 熊仲明等.基础滑移隔震体系的地震响应计算[J].应用力学学报,2002,19(4):139—142
12 高小旺等.建筑抗震设计规范理论与应用[M].北京:中国建筑工业出版社,2002,334—340
13 WenYK .Methodforrandomvibrationofhystereticsystems[J],JournaloftheEngineeringMechanicsDivision,ASCE ,1976,102(2):249—263
14 欧进萍,王光远.结构随机振动[M ].北京:高等教育出版社,1998,282—310
15 WirschingPH ,YaoTP .Modelresponseofstructures[J].JournalofstructuralDivision.ASCE ,1970,96(4):879—882
16 LeeDM .BaseIsolationSystemstoEarthquakeProtectionofMul ti_storyShearStructures[J].EarthquakeEngineeringandStructuralDynamics,1979,7:555—568
17 李创第等.基础转动结构随机风振响应分析的复模态法[J].工业建筑,2002,32(12):36—39
18 李创第等.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36—39
19 李创第等.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1—4
20 李创第等.基础转动结构随机地震响应分析的复模态法[J].工业建筑,2003,33(7):29—32
21 李 暾,李创第.带TLP结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437—440
22 李创第.线性与非线性随机过程结构时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用:[学位论文].武汉:武汉工业大学,1999
23 FangT ,WangZZ .StationaryResponsetoSecond_orderFilteredWhiteNoiseExcitation[J].AIAA .J .1986,24(6):1048—1051
24 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,29(5):40—45
25 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,29(6):17—19
26 黄天立,李创第.刚性结构基础隔震随机地震响应及优化分析[J].世界地震工程,2003,19(1):121—127
27 李宏男.结构多维抗震理论与设计方法[M ].北京:科学出版社,1998,115—121
28 OrabiII .Aniterativemethodfornon_stationaryresponseanalysisofnon_linearrandomsystems[J].JournalofSoundandVibration,1987,119(1):145—157
29 朱位秋.随机振动[M ].北京:科学出版社,1992,143—147
2 NaeimF ,KellyJM .DesignofSeismicIsolatedStructures_fromTheorytoPractice[M].JohnWiley&SonsInc,1999
3 唐家祥.建筑结构基础隔震[M ].武汉:华中理工大学出版社,1992
4 周福霖.工程结构减震控制[M].北京:地震出版社,1997
5 建筑抗震设计规范(GB50011-2001)[S].北京:中国建筑工业出版社,2001
6 周锡元,阎维明,杨润林.建筑结构的隔震、减振和振动控制[J].建筑结构学报,2002,23(2):2—12
7 JangidRS .PerformanceofBasedIsolationSystemforAsymmetricBuildingSubjectedtoRandomExcitation[J].JournalofEngineer ingStructures,1995,17(6):443—454
8 PalazzoB .ResponseofBaseIsolatedSystemtoRandomExcitation[J].EuropeanEarthquakeEngineering,1996,10(2):751—767
9 江宜城等.基础隔震结构对随机激励的响应分析[J].世界地震工程,2002,18(2):39—42
10 朱东生等.单自由度双线性隔震装置地震反应研究[J].工程力学,2002,19(3):59—63
11 熊仲明等.基础滑移隔震体系的地震响应计算[J].应用力学学报,2002,19(4):139—142
12 高小旺等.建筑抗震设计规范理论与应用[M].北京:中国建筑工业出版社,2002,334—340
13 WenYK .Methodforrandomvibrationofhystereticsystems[J],JournaloftheEngineeringMechanicsDivision,ASCE ,1976,102(2):249—263
14 欧进萍,王光远.结构随机振动[M ].北京:高等教育出版社,1998,282—310
15 WirschingPH ,YaoTP .Modelresponseofstructures[J].JournalofstructuralDivision.ASCE ,1970,96(4):879—882
16 LeeDM .BaseIsolationSystemstoEarthquakeProtectionofMul ti_storyShearStructures[J].EarthquakeEngineeringandStructuralDynamics,1979,7:555—568
17 李创第等.基础转动结构随机风振响应分析的复模态法[J].工业建筑,2002,32(12):36—39
18 李创第等.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36—39
19 李创第等.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1—4
20 李创第等.基础转动结构随机地震响应分析的复模态法[J].工业建筑,2003,33(7):29—32
21 李 暾,李创第.带TLP结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437—440
22 李创第.线性与非线性随机过程结构时变可靠度理论及其在高层建筑玻璃幕墙非线性抗风抗震设计中的应用:[学位论文].武汉:武汉工业大学,1999
23 FangT ,WangZZ .StationaryResponsetoSecond_orderFilteredWhiteNoiseExcitation[J].AIAA .J .1986,24(6):1048—1051
24 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(1)[J].工业建筑,1999,29(5):40—45
25 李创第.高层建筑玻璃幕墙线性与非线性抗风动力可靠性分析(2)[J].工业建筑,1999,29(6):17—19
26 黄天立,李创第.刚性结构基础隔震随机地震响应及优化分析[J].世界地震工程,2003,19(1):121—127
27 李宏男.结构多维抗震理论与设计方法[M ].北京:科学出版社,1998,115—121
28 OrabiII .Aniterativemethodfornon_stationaryresponseanalysisofnon_linearrandomsystems[J].JournalofSoundandVibration,1987,119(1):145—157
29 朱位秋.随机振动[M ].北京:科学出版社,1992,143—147
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心