CAJ | 학술논문

基于目标功率谱，本文从定量角度提出一种地震动反应谱拟合过程中小波基函数的选取方法。首先通过修正不同小波基函数所对应的小波系数来拟合地震动反应谱；然后设定总体误差绝对值和误差均方差这两个定量指标来描述各拟合波功率谱与目标功率谱的差异，借助数理统计的独立权数原理，求得不同小波基函数所对应的定量指标的综合评价值；最后对比综合评价值，得到拟合精度最高、误差离散最小的最优小波基。应用该方法，选取8种常见的小波基函数进行实例分析。结果表明，该方法得到的最优拟合波与原信号差异不大，拟合波反应谱、功率谱与目标反应谱、功率谱均吻合得较好，从而验证了该方法的正确性。
기우목표공솔보，본문종정량각도제출일충지진동반응보의합과정중소파기함수적선취방법。수선통과수정불동소파기함수소대응적소파계수래의합지진동반응보；연후설정총체오차절대치화오차균방차저량개정량지표래묘술각의합파공솔보여목표공솔보적차이，차조수리통계적독립권수원리，구득불동소파기함수소대응적정량지표적종합평개치；최후대비종합평개치，득도의합정도최고、오차리산최소적최우소파기。응용해방법，선취8충상견적소파기함수진행실례분석。결과표명，해방법득도적최우의합파여원신호차이불대，의합파반응보、공솔보여목표반응보、공솔보균문합득교호，종이험증료해방법적정학성。
Based on the target power spectrum,this paper proposed a method for selecting wavelet basis function in the simulation of seismic response spectrum from a quantitative point of view.Firstly,we revised the different wavelet coefficients that correspond to different wavelet basis functions to simulate the seismic response spectrum.And then we set two quantitative indices,i.e ., overall error absolute values and mean square errors to describe the differences between the power spectrum of the simulated wave and the target power spec-trum.Using the principle of independent weight in mathematical statistics,we obtained the comprehensive evaluation values of the quantitative indices that correspond to the different wavelet basis functions.Finally,from all of the comprehensive evaluation values,we got the optimal wavelet basis with highest simulation accuracy and minimum discreteness of error.Using this method,we selected eight kinds of common wavelet basis functions for instance analysis. The results show that the optimal simulated wave based on this method has slight difference from the original signal,and simulated wave response spectrum coincides well with the target response spectrum,the same as power spectrum, verifying the correctness of the method proposed in this paper.