高土石坝地震反应时域分析中阻尼矩阵数值建模问题的讨论
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摘要
讨论了不同阻尼矩阵数值建模方式对时域内高土石坝地震反应计算准确性的影响。介绍了高土石坝地震反应时域分析中常用阻尼矩阵数值建模方式,通过理论分析,说明了常用阻尼矩阵的局限性。采用不同数值建模方式形成了14种比例阻尼矩阵,在时域内计算了3种不同坝高的均质土坝的线性地震反应。把计算结果与在频域内计算所得的正确结果进行对比,分析了不同比例阻尼矩阵数值建模方式对土坝地震反应计算精度的影响。数值结果表明:当高土石坝的基频低于输入地震波主要分量的激励频率时,应重视比例阻尼矩阵的建模方式和参数的选取。
The effect of different numerical simulation method of damping matrix on the computational accuracy of the seismic response of high-rise earth-rock filled dams analyzed in time domain is discussed in this paper. The numerical simulation methods of damping matrix of high-rise earth-rock filled dam currently used for seismic response analysis in time domain are presented and the limitations of the methods are pointed theoretically out. The linear seismic responses of three homogeneous earth dams with different height are computed in time domain based on 14 models of proportional damping matrices formed by different numerical simulation methods. The effects of different numerical simulation methods of proportional damping matrices on the accuracies of the seismic responses of the dams are discussed according to the comparison between the above numerical results and the exact results obtained in frequency domain. The numerical results show that attention should be paid to the modeling technique and parameter selection of the proportional damping matrix when the natural frequency of high-rise earth-rock filled dam is lower than the excitation frequency of the main component of input seismic ground motion.
The effect of different numerical simulation method of damping matrix on the computational accuracy of the seismic response of high-rise earth-rock filled dams analyzed in time domain is discussed in this paper. The numerical simulation methods of damping matrix of high-rise earth-rock filled dam currently used for seismic response analysis in time domain are presented and the limitations of the methods are pointed theoretically out. The linear seismic responses of three homogeneous earth dams with different height are computed in time domain based on 14 models of proportional damping matrices formed by different numerical simulation methods. The effects of different numerical simulation methods of proportional damping matrices on the accuracies of the seismic responses of the dams are discussed according to the comparison between the above numerical results and the exact results obtained in frequency domain. The numerical results show that attention should be paid to the modeling technique and parameter selection of the proportional damping matrix when the natural frequency of high-rise earth-rock filled dam is lower than the excitation frequency of the main component of input seismic ground motion.
引文
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[8] 楼梦麟. 长周期动力系统时域分析中的阻尼矩阵[C]//力学与工程应用(第十六集),郑州:郑州大学出版社,2016:111-117. LOU Menglin. Damping Matrix in time-domian analysis for Long-period dynamic system[C]//Mechanics and Engineering Application(16),Zhengzhou: Zhengzhou University Press, 2016:111-117.(in Chinese)
[9] 楼梦麟,董云. 加速度反应谱规准化对场地位移时程的影响[J]. 震灾防御技术,2014,9(2):56-60.LOU Menglin, DONG Yun. Effect of normalizing acceleration response spectra on displacement time history[J]. Technology for Earthquake Disaster Prevention, 2014, 9(2): 56-60. (in Chinese)
[10] 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,2009,28(5):22-26.LOU Menglin, ZHANG Jing. Discussion on damping modes for seismic response analysis of long-span arch bridge[J]. Journal of Vibration and Shock, 2009, 28(5): 22-26. (in Chinese)Discussions on numerical simulation problem of damping matrix of high-rise earth-rock filled dam seismic response analysis in time domain LOU Menglin, YIN lin, SHAO Xingang( 33 )
[2] 楼梦麟,殷琳. 关于高土坝地震反应分析中阻尼模型的讨论[J]. 水力发电学报,2009,28(5):104-107.LOU Menglin, YIN lin. Discussion on damping models in seismic response analysis of high earth dam[J]. Journal of Hydroelectric Engineering, 2009, 28(5): 104-107. (in Chinese)
[3] 楼梦麟,邵新刚. 深覆盖土层Rayleigh阻尼矩阵建模问题的讨论[J]. 岩土工程学报,2013,35(7):1272-1279.LOU Menglin, SHAO Xingang. Discussion on modeling issues of Rayleigh damping matrix in soil layers with deep deposit[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(7): 1272-1279. (in Chinese)
[4] 楼梦麟,邵新刚. 土层地震反应显式计算中阻尼矩阵系数的选取[J]. 同济大学学报:自然科学版,2013,41(8):1126-1132.LOU Menglin, SHAO Xingang. Damping matrix coefficient selection in explicit calculation of soil layer seismic response [J]. Journal of Tongji University: National Science, 2013, 41(8): 1126-1132.(in Chinese)
[5] 潘旦光. 地震反应分析中 Rayleigh 阻尼系数的优化解[J]. 工程力学,2013,30(11):15-20.PAN Danguang. An optimization solution for Rayleigh damping coefficients in seismic response analysis[J]. Engineering Mechanics, 2013, 30 (11) : 15-20.(in Chinese)
[6] 董云,楼梦麟. 基于结构基频确定Rayleigh阻尼系数的优化方法及其讨论[J]. 湖南大学学报: 自然科学版,2014,41(2):8-13.DONG Yu, LOU Menglin. An optimization solution for Rayleigh damping coefficients based on the fundamental frequency of structure[J]. Journal of Hunan University: Natural Sciences, 2014, 41(2): 8-13.(in Chinese)
[7] 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:自然科学版,2004,32(3):28l-285. LOU Menglin, PAN Danguang. Hysteretic damping application in time domain analysis of soil layer [J]. Journal of Tongji University: National Science, 2004, 32(3): 281-285.(in Chinese)
[8] 楼梦麟. 长周期动力系统时域分析中的阻尼矩阵[C]//力学与工程应用(第十六集),郑州:郑州大学出版社,2016:111-117. LOU Menglin. Damping Matrix in time-domian analysis for Long-period dynamic system[C]//Mechanics and Engineering Application(16),Zhengzhou: Zhengzhou University Press, 2016:111-117.(in Chinese)
[9] 楼梦麟,董云. 加速度反应谱规准化对场地位移时程的影响[J]. 震灾防御技术,2014,9(2):56-60.LOU Menglin, DONG Yun. Effect of normalizing acceleration response spectra on displacement time history[J]. Technology for Earthquake Disaster Prevention, 2014, 9(2): 56-60. (in Chinese)
[10] 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,2009,28(5):22-26.LOU Menglin, ZHANG Jing. Discussion on damping modes for seismic response analysis of long-span arch bridge[J]. Journal of Vibration and Shock, 2009, 28(5): 22-26. (in Chinese)Discussions on numerical simulation problem of damping matrix of high-rise earth-rock filled dam seismic response analysis in time domain LOU Menglin, YIN lin, SHAO Xingang( 33 )
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