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基于S变换的地震波时频分析及人工调整

Time-frequency analysis and artificial simulation of earthquake ground motions via S-transform

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【作者】 樊剑吕超张辉

【Author】 FAN Jian1,2,Lü Chao1,2,ZHANG Hui1,2(1.School of Civil Engineering and Mechanics,Huazhong University of Science and Technology,Wuhan 430074,China;2.Hubei Key Laboratory of Control Structures,Huazhong University of Science and Technology,Wuhan 430074,China)

【机构】 华中科技大学土木工程与力学学院

【摘要】 首先推导了离散S变换的基本算法,定义了反映地震波时频特性的时变幅值谱和时变能量谱;以K obe地震波为例,基于S变换分析了该地震波的时频特性,并对采用不同窗口函数的分析结果进行了对比,分析发现当适当地调整窗口参数,复窗口的广义S变换对非平稳地震波有较好的时频分辨率;利用S变换的时频滤波性质,对实际地震波进行了任意时间和频率段的人工调整;以与抗震规范相容的功率谱为目标谱,提出了利用S变换合成非平稳地震波的新方法,通过实例分析发现,人工合成的地震波功率谱与目标谱符合很好,而且继承了母波的非平稳特性;还研究了地震波的时频特性对单自由度体系弹性反应谱的影响。

【Abstract】 The formulas of discrete S-transform are derived,and the time-varying amplitude spectrum and time varying energy spectrum based on S-transform are given.The time-varying energy spectrum of Kobe wave is estimated by using S-transform with different window function,numerical results show that the improved Stransform is the effective method when choosing the time window parameter properly.Earthquake records can be adjusted with time-frequency filtering based on Stransform,and a new procedure is presented to generate an accelerograms whose power spectrum is compatible with a target spectrum by using actual earthquake records as parents.It is showed that the power spectrums of reconstructed accelerograms have good matching with the target spectrum and preserve the non-stationary features of the parents accelerograms.Finally,the effects of the non-stationary frequency characteristic of ground motions on the response spectrum are investigated.

【基金】 国家自然科学基金资助项目(50778079);湖北省自然科学基金资助项目(2006ABA067)
  • 【文献出处】 振动工程学报 ,Journal of Vibration Engineering , 编辑部邮箱 ,2008年04期
  • 【分类号】TU311.3
  • 【被引频次】34
  • 【下载频次】663
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