结构损伤识别中小波基函数的选择
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摘要
基于小波变换损伤指标不仅可以反映试件不同加载阶段的损伤程度,还可以为判断结构何时屈服提供一定的依据。小波基函数的选用是该损伤指标应用的一大难点。通过枚举法挑选合适的小波基函数及分解层数,并用此对两种不同边缘约束措施的叠合板式剪力墙和两种普通剪力墙进行了分析,计算结果与试验结果吻合良好,表明该方法是可靠的。
A damage index based on wavelet transform could not only represent the damage extent at every load stage,but also be referred to judge when the structure was yielded.The selection of wavelet base function was the difficulty in use of the damage index.The appropriate wavelet base function was selected.This seismic damage model for four superimposed slab shear walls with edge restricted measures of two different forms and two general shear walls were analyzed.The calculating results and the experimental phenomenon were in good agreement.The experiment results showed that the method was reasonable and reliable.
A damage index based on wavelet transform could not only represent the damage extent at every load stage,but also be referred to judge when the structure was yielded.The selection of wavelet base function was the difficulty in use of the damage index.The appropriate wavelet base function was selected.This seismic damage model for four superimposed slab shear walls with edge restricted measures of two different forms and two general shear walls were analyzed.The calculating results and the experimental phenomenon were in good agreement.The experiment results showed that the method was reasonable and reliable.
引文
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[2]Young Ji Rark,Alfredo H S Ang.Mechanistic Seismic Model forReinforced Concrete[J].Journal of Structural Engineering,ASCE,1985,111(4):722-739.
[3]Young Ji Rark,Alfredo H S Ang.Seismic Damage Analysis ofReinforced Concrete Buildings[J].Journal of StructuralEngineering,ASCE,1985,111:740-756.
[4]蒋庆,叶献国,连星,等.基于小波变换的地震损伤指标的研究[J].合肥工业大学学报,2009,32(6):890-894.
[5]张德丰.MATLAB小波分析[M].北京:机械工业出版社,2009:12-125.
[6]张德丰.MATLAB小波分析与工程应用[M].北京:国防工业出版社,2008:1-99.
[7]Daubechies I.Ten Lectures on Wavelet[M].Philadelphia:Capital City Press1,992:1-100.
[8]Mallat S.A Theory for Multiresolution Signal Decomposition:theWavelet Representation[J].IEEE Trans.Pattern Anal.MachineIntel,Theory,1989,11(7):674-693.
[9]Mallat S.A Theory for Hwang W L.Singularity Detection andProcessing with Wavelets.IEEE Trans[J].Inform.Theory,1992,38(2):617-643.
[10]Hou Z,Noori M,Amand R.Wavelet Based Approach for StructuralDamage Detection[J].Journal of Engineering Mechanics.2000,126(7):677-683.
[11]郭健.基于小波分析的结构损伤识别方法研究[D].杭州:浙江大学,2004.
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