不同阻尼矩阵建模对超高层结构地震反应分析的影响
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摘要
阻尼作为结构动力响应分析中最重要的参数之一,是结构振动中描述能量耗散的指标。针对有限元软件中通用的Rayleigh阻尼模型的比例系数合理取值展开讨论。在线性动力分析中提出一种阻尼比例系数的计算方法,并以振型叠加法所得结果作为精确解,验证该方法的适用性。最后将该方法引入弹塑性地震反应分析。结果证明本文提出的确定阻尼比例系数的计算方法,在线性及非线性动力分析中均具有一定适用性,为建立合理的Rayleigh阻尼矩阵提出一种新思路。
As one of the most important parameters in the structural dynamic analysis,damping is an indicator of the energy dissipation during structural vibration.Based on the Rayleigh damping model that is commonly used in the finite element software,the appropriate value of the damping coefficients was discussed in the paper. A new method was proposed to compute the damping coefficients in linear dynamic analysis.The method is verified by comparing to the mode-superposition approach.It was further found that,from the elasto-plastic seismic response analysis,the new method proposed in this paper can be used for both of the linear and nonlinear dynamic analyses,and it can be therefore used to establish the reasonable Rayleigh damping matrix.
As one of the most important parameters in the structural dynamic analysis,damping is an indicator of the energy dissipation during structural vibration.Based on the Rayleigh damping model that is commonly used in the finite element software,the appropriate value of the damping coefficients was discussed in the paper. A new method was proposed to compute the damping coefficients in linear dynamic analysis.The method is verified by comparing to the mode-superposition approach.It was further found that,from the elasto-plastic seismic response analysis,the new method proposed in this paper can be used for both of the linear and nonlinear dynamic analyses,and it can be therefore used to establish the reasonable Rayleigh damping matrix.
引文
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[4]董军,邓洪洲,王肇民.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63-69. Dong Jun,Deng Hongzhou,Wang Zhaomin.Studies on the Damping Models for Structural Dynamic Time History Analysis[J].World Information on Earthquake Engineering,2000,16(4):63-69.(in Chinese)
[5]Arun M Puthanpurayil,Rajesh P Dhakal,Athol J Carr.Modeling of In-Structure Damping:A Review of the State-of-the-art[C].Proceedings of the Ninth Pacific Conference on Earthquake Engineering,2011.
[6]王田友,丁洁民,楼梦麟.关于轨道交通所致建筑振动的计算方法和阻尼矩阵的讨论[J].振动与冲击,2008,27(11):77-79. Wang Tianyou,Ding Jiemin,Lou Menglin.Discussion on the Methods of Estimating Structural Vibration from Railway Lines and the Determination of Damping Matrix[J].Journal of Vibration and Shock,2008,27 (11):77-79.(in Chinese)
[7]楼梦麟,张静.大跨度拱桥地震反应分析中阻尼模型的讨论[J].振动与冲击,2009,(5):22-26. Lou Menlin,Zhang Jing.Discussion on Damping Models for Seismic Response Analysis of Long-Span Bridge[J].Journal of Vibration and Shock,2009, (5):22-26.(in Chinese)
[8]Finley A Charney.Unintended Consequences of Modeling Damping in structure[J].Journal of Structural Engineering,2008,134(4):581-592.
[9]Indrajit Chowdhury,Shambhu P.Dasgupta.Computation of Rayleigh Damping Coefficients for Large Systems [J].The Electronic Journal of Geotechnical Engineering, 2003(6).
[10]楼梦麟,潘旦光.滞后阻尼在土层时域分析中的应用[J].同济大学学报,2004,32(4):281-285. Lou Menlin,Pan Danguang.Hysteretic Damping Application in Time Domain Analysis of Soil Layer[J]. Journal of Tongji University,2004,32(4):281-285. (in Chinese )
[2]Carr A J,Ruaumoko Manual.Vol3:User Manual for the 3-Dimensional Version,Ruaumoko 3D[J].University of Canterbury,Christchurch,New Zealand,2010.
[3]Clough R W,Penzien J.Dynamics of structures[M]. 2nd Edition.New York:McGraw-Hill Inc,1993.
[4]董军,邓洪洲,王肇民.结构动力分析阻尼模型研究[J].世界地震工程,2000,16(4):63-69. Dong Jun,Deng Hongzhou,Wang Zhaomin.Studies on the Damping Models for Structural Dynamic Time History Analysis[J].World Information on Earthquake Engineering,2000,16(4):63-69.(in Chinese)
[5]Arun M Puthanpurayil,Rajesh P Dhakal,Athol J Carr.Modeling of In-Structure Damping:A Review of the State-of-the-art[C].Proceedings of the Ninth Pacific Conference on Earthquake Engineering,2011.
[6]王田友,丁洁民,楼梦麟.关于轨道交通所致建筑振动的计算方法和阻尼矩阵的讨论[J].振动与冲击,2008,27(11):77-79. Wang Tianyou,Ding Jiemin,Lou Menglin.Discussion on the Methods of Estimating Structural Vibration from Railway Lines and the Determination of Damping Matrix[J].Journal of Vibration and Shock,2008,27 (11):77-79.(in Chinese)
[7]楼梦麟,张静.大跨度拱桥地震反应分析中阻尼模型的讨论[J].振动与冲击,2009,(5):22-26. Lou Menlin,Zhang Jing.Discussion on Damping Models for Seismic Response Analysis of Long-Span Bridge[J].Journal of Vibration and Shock,2009, (5):22-26.(in Chinese)
[8]Finley A Charney.Unintended Consequences of Modeling Damping in structure[J].Journal of Structural Engineering,2008,134(4):581-592.
[9]Indrajit Chowdhury,Shambhu P.Dasgupta.Computation of Rayleigh Damping Coefficients for Large Systems [J].The Electronic Journal of Geotechnical Engineering, 2003(6).
[10]楼梦麟,潘旦光.滞后阻尼在土层时域分析中的应用[J].同济大学学报,2004,32(4):281-285. Lou Menlin,Pan Danguang.Hysteretic Damping Application in Time Domain Analysis of Soil Layer[J]. Journal of Tongji University,2004,32(4):281-285. (in Chinese )
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