利用小波变换技术求解钢筋混凝土框架地震反应
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摘要
基于离散正交小波变换的快速Mallat算法,用紧支集正交小波db6对地震动加速度时程进行了分解,随后将该分解结果用于求解多自由度弹性体系的地震反应。通过实例计算,发现小波变换法的计算结果与用振型分解法计算的结果较接近,说明该方法用于地震反应分析是可行的。
Based on the Mallat algorithm of discrete wavelet transform, the decomposition of acceleration process of ground motion due to earthquake is obtained by strict support orthogonal wavelets db6. Subsequently, the decomposition is adopted to solve the response of the elastic multi-degree-of-freedom structural systems subjected to earthquake. The calculation example shows that the result of the wavelet transform method is close to that of the mode-decomposition method,so the application of wavelet transform to the solving of the response of the elastic multi-degree-of-freedom structural systems subjected to earthquake is feasible.
Based on the Mallat algorithm of discrete wavelet transform, the decomposition of acceleration process of ground motion due to earthquake is obtained by strict support orthogonal wavelets db6. Subsequently, the decomposition is adopted to solve the response of the elastic multi-degree-of-freedom structural systems subjected to earthquake. The calculation example shows that the result of the wavelet transform method is close to that of the mode-decomposition method,so the application of wavelet transform to the solving of the response of the elastic multi-degree-of-freedom structural systems subjected to earthquake is feasible.
引文
[1] 叶燎原,肖梅玲.基于小波变换的地震反应分析[J].世界地震工程,2001,17(2):14-17.
[2] 肖梅玲,叶燎原.连续小波变换用于结构地震反应分析[J].世界地震工程,2001,17(4):79-83.
[3] 曹 晖,赖 明,白绍良.基于小波变换的地震地面运动仿真研究[J].世界地震工程,2002,18(4):40-46.
[4] 谢异同,张同亿,吴敏哲.地震动加速度过程的四阶基数B-样条小波模拟[J].世界地震工程,2001,17(2):18-21.
[5] 武士军.基于小波分析的地震地面运动模拟与地震强度指标的研究[D].合肥:合肥工业大学土木建筑工程学院,2004.
[6] 曹 晖,赖 明,白绍良.基于小波分析的结构动力可靠度估计[J].世界地震工程,2000,16(4):70-77.
[7] 高宝成,时良平,史铁林,等.基于小波分析的简支梁裂缝识别方法研究[J].振动工程学报,1997,10(1):81-85.
[8] QuekST,WangQ,ZhangL,etal.Sensitivityanalysisofcrackdetectioninbeamsbywavelettechnique[J].InternationalJournalofMechanicalSciences,2001,43:2899-2910.
[9] 李水根,吴纪桃.分形与小波[M].北京:科学出版社,2002.242-246.
[10] BasuB,GuptaVK.Stochasticseismicresponseofsingle-degree-of-freedomsystemsthroughwavelets[J].EngineeringStructures,2000,22:1714-1722.
[11] 沈聚敏,周锡元,高小旺,等.抗震工程学[M].北京:中国建筑工业出版社,2000.90-94.
[2] 肖梅玲,叶燎原.连续小波变换用于结构地震反应分析[J].世界地震工程,2001,17(4):79-83.
[3] 曹 晖,赖 明,白绍良.基于小波变换的地震地面运动仿真研究[J].世界地震工程,2002,18(4):40-46.
[4] 谢异同,张同亿,吴敏哲.地震动加速度过程的四阶基数B-样条小波模拟[J].世界地震工程,2001,17(2):18-21.
[5] 武士军.基于小波分析的地震地面运动模拟与地震强度指标的研究[D].合肥:合肥工业大学土木建筑工程学院,2004.
[6] 曹 晖,赖 明,白绍良.基于小波分析的结构动力可靠度估计[J].世界地震工程,2000,16(4):70-77.
[7] 高宝成,时良平,史铁林,等.基于小波分析的简支梁裂缝识别方法研究[J].振动工程学报,1997,10(1):81-85.
[8] QuekST,WangQ,ZhangL,etal.Sensitivityanalysisofcrackdetectioninbeamsbywavelettechnique[J].InternationalJournalofMechanicalSciences,2001,43:2899-2910.
[9] 李水根,吴纪桃.分形与小波[M].北京:科学出版社,2002.242-246.
[10] BasuB,GuptaVK.Stochasticseismicresponseofsingle-degree-of-freedomsystemsthroughwavelets[J].EngineeringStructures,2000,22:1714-1722.
[11] 沈聚敏,周锡元,高小旺,等.抗震工程学[M].北京:中国建筑工业出版社,2000.90-94.
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