|
|
|
| Complex mode superposition response spectrum approach for isolated structure analysis |
| YANG Kui1,2，TAN Ping1,2，CHEN Huating1,2，LI Xiaolei1,2 |
1.Guangdong Provincial Key Laboratory of Earthquake Engineering and Advanced Technology, Guangzhou University, Guangzhou 510405, China;
2.Key Laboratory of Earthquake Resistance Earthquake Mitigation and Structural Safety Ministry of Education, Guangzhou University, Guangzhou 510405, China |
|
|
|
Abstract Seismically isolate structures exhibit non-proportional large damping characteristics, which makes the research on the complex mode decomposition response spectrum approach more and more important. In this paper, the coupling effect of the non-proportional damping matrix is considered through the equation of motion of the isolated structure, and the complex mode decomposition response spectrum method is proposed based on the complex mode and stationary random process theory. Four different overall non-proportional damping matrices are assembled according to three methods of Rayleigh damping, mode superposition damping coefficient and damping ratio conversion damping coefficient. The applicability of damping matrix is analyzed according to the characteristics of isolated structure ,Under the natural wave response spectrum of the far field and the near field, the effects of the equivalent period and equivalent damping ratio of the seismic isolation layer under different damping matrix assembly methods on the calculation accuracy of the Complete Quadratic Combination (CQC) and Complex Complete Quadratic Combination (CCQC) methods are analyzed. Finally, based on the design response spectrum CQC and the design response spectrum CCQC response spectrum method, the effect of different equivalent periods and equivalent damping ratios of the isolation layer on the floor displacement, floor shear and floor overturning moment error of the isolation structure is analyzed. The analysis results show that the damping coefficient method is more suitable for the construction of non-classical damping matrix. The CQC response spectrum method cannot accurately reflect the actual response under near-field earthquakes, and its application range is more limited, while the CCQC response spectrum method can well reflect the seismic response of the isolation results.
|
|
Received: 26 November 2020
Published: 28 March 2022
|
|
|
|
[1] 陈华霆,谭平,彭凌云,李志山,周福霖.基于隔震结构Benchmark模型的复振型叠加反应谱方法[J].振动与冲击,2017,36(23):157-163.
CHEN Huating,TAN Ping,PENG Lingyun,LI zhishan,ZHOU Fulin.Complex modal shapes superposition response spectrum approach based on vibration isolation structure benchmark model [J]. Journal of vibration and shock, 2017,36(23):157-163
[2] Warburton G B , Soni S R . Errors in Response Calculations for Non-Classically Damped Structures[J]. Earthquake Engineering & Structural Dynamics, 2010, 5(4):365-376.
[3] 薛彦涛,巫振弘.隔震结构振型分解反应谱计算方法研究[J].建筑结构学报,2015,36(4):119-125.
XUE Yantao,WU Zhenhong. Study on mode-superposition response spectrum method applied in isolated structure[J]. Journal of Building Structures, 2015,36(4):119-125.
[4] Igusa T , Kiureghian A D , Sackman J L . Modal decomposition method for response of non-classically damped systems[J]. 1984, 12(1):121-136.
[5] Jiahao Lin, F. W. Williams. An introduction to seismic isolation[J]. Engineering Structures, 1995, 17(3):233-234.
[6] Chopra AK. Dynamics of structures: theory and applications to earthquake engineering (Fourth edition) [M]. New York: Pearson Education, Inc., 2012.
[7] Chen HC, Taylor RL. Solution of viscously damped linear systems using a set of load-dependent vectors. Earthquake Engineering and Structural Dynamics, 1990, 19(5):653-665
[8] 陈华霆,谭平,彭凌云,李志山,周福霖.复振型叠加法截断误差及改进[J].振动工程学报,2017,30(4):556-563.
CHEN Huating,TAN Ping,PENG Lingyun,LI zhishan,ZHOU Fulin.Truncation error and improvement of complex modal superposition approach[J].Jouranl of vibration engineering, 2017,30(4):556-563.
[9] Igusa T, Der Kiureghian A. Response spectrum method for systems with non-classical damping [C]. Proc. ASCE-EMD specialty conf., West Lafayette, Indiana, May 23-25, 1983: 380-384.
[10] Gupta A K , Jaw J W . Response spectrum method for nonclassically damped systems[J]. Nuclear Engineering and Design, 1986, 91(2):161-169.
[11] 周锡元,俞瑞芳.非比例阻尼线性体系基于规范反应谱的CCQC法[J].工程力学,2006, 23 (2):10-17.
ZHOU Xi-yuan,YU Rui-fang.CCQC method for seismic response of non-classically damped linear system based on code response spectra[J].Engineering Mechanics, 2006, 23 (2):10-17.
[12] Yu R, Wang L, Liu H, Zhou X. The CCQC3 method for multi-component seismic responses of non-classically damped irregular structures [C]. Structures Congress and the 2005 Forensic Engineering Symposium, ASCE, New York, USA, 2005.
[13] Yu R, Zhou X. Response spectrum analysis for non-classically damped linear system with multiple-support excitations [J]. Bulletin of Earthquake Engineering, 2008, 6(2):261-284.
[14] Liu G, Lian J, Liang C, Li G, Hu J. An improved complex multiple-support response spectrum method for the non-classically damped linear system with coupled damping [J]. Bulletin of Earthquake Engineering, 2016, 14(1):161-184.
[15] Huating Chen ; Ping Tan; Fulin Zhou. An improved response spectrum method for non-classically damped systems [J]. Bulletin of Earthquake Engineering, 2017, 15(10): 4375-4397.
[16] Foss K. Coordinates which Uncouple the Equations of Motion of Damped Linear Dynamic Systems. Journal of Applied Mechanics，1956;25:24.
[17] Elishakoff I , Crandall R H L , StephenH. Random Vibration-Status and Recent Developments[M]. Elsevier, 1986.
[18] Ruifang, YuXiyuan, Zhou. Simplifications of CQC method and CCQC method[J]. Earthquake Engineering & Engineering Vibration, 2007.
[19] Hwang JS, Chiou JM. An equivalent linear model of lead-rubber seismic isolation bearings [J]. Engineering Structures, 1996, 18(7): 528-536.
[20] 杜永峰,李慧,苏磐石,赵国藩.非比例阻尼隔震结构地震响应的实振型分解法[J].工程力学,2003(04):24-32.
DU Yong-feng,LI Hui,Billie F.SPENCER.Jr,ZHAO Guo-fan.Real mode superposition method for analysis of seismic response of non-peoportionally damped isolated[J]. Engineering Mechanics, 2003(04):24-32. |
|
|
|
