exponent transform 中文意思是什麼
exponent transform
解釋
指數變換-
It is shown by structural seismic response of four wavelets that littlewood - paley wavelet is not suitable for structural seismic response, because structural response is too small, meyer wavelet is a better wavelet for structural seismic response, for it ' s structural response is agreement with the finite element method, and also harmonic wavelet, structural response under earthquake is a little bigger than finite element method, structural response under odd exponent wavelet is also bigger than finite element method, this method is very simple by wavelet transform, wavelet transform method is different from old methods, one is with which not only knows the effects of earthquake wave detail frequency - band on structural response, but also considers earthquake wave ' s non - stationary of frequency and time - domain value, another is the second mode shape and higher mode shape response that do n ' t attenuate so fast
通過對這四種小波的結構地震反應分析研究說明： littlewood ? paley小波不適合於用來作結構地震反應分析，因為在littlewood ? paley小波下的結構地震反應太小，不符合實際情況；用meyer小波作結構地震反應分析比較合適，和有限元法的結果比較接近；也可以用諧波小波來作結構地震反應分析，只是在諧波小波下的結果略為偏大；單邊指數小波下的結構地震反應分析比有限元法稍大一點，它通過小波變換大大簡化了結構地震反應分析。用小波變換方法來進行結構地震反應分析和以往方法不同的是：它不僅可以知道地震波的具體頻率段對結構反應的影響，而且同時考慮了地震波的幅值非平穩性以及頻率非平穩性；另外與以前方法得到的結果有差異的是，第二振型及以後的高一點的振型的反應沒有以前的方法衰減得快。 -
For the purpose of wavelet ' s basic concept and wavelet transform fundamental principle, four wavelets : littlewood - paley wavelet, meyer wavelet, harmonic wavelet and odd exponent wavelet are used to analyze structural response under earthquake ; experimental investigation has been carried out for two - stories frame model ; this paper also analyzes earthquake ground motion energy and structural energy response based on wavelet ; this paper proposes dynamic reliability analysis for structure seismic response based on wavelet
針對小波的基本概念、小波變換的基本原理，本文提出了用四種小波： littlewood ? paley小波， meyer小波，諧波小波，單邊指數小波來進行結構地震反應分析、並對二層框架模型進行振動臺試驗研究、也進行了在小波基下的地震地面運動能量分析和結構地震能量反應、以及結構地震反應在小波基下的動力可靠性分析。 -
It is shown by the two - stories frame model shake - table test that the contrast two response of acceleration based on wavelet and experiment draws on such conclusion : littlewood - paley wavelet does not agree with the test, so it is not suitable for structural seismic response, because structural acceleration response is too small. the wavelet transform result of acceleration response based on meyer wavelet, harmonic wavelet and odd exponent wavelet agree with the test, thus they can be used to analyze structural seismic response. the analysis of earthquake ground motion energy and structural energy response based on these three wavelets ( littlewood - paley wavelet, meyer wavelet, harmonic wavelet ) shows that we can calculate earthquake ground motion energy by the record of acceleration, because the wavelet coefficient includes time - domain energy and frequency - domain energy
通過對二層框架模型進行振動臺試驗研究說明：從小波變換得到的加速度反應和模型上的第一層及第二層的試驗測得的加速度比較得出的結論是， littlewood ? paley小波不適合於用來作結構地震反應分析，因為在此小波下的結構加速度反應太小，和實驗情況不符； meyer小波、諧波小波、單邊指數小波這三種小波從理論上得到的加速度反應同實驗測得的加速度過程比較吻合，因此從試驗上證明用meyer小波、諧波小波和單邊指數小波來作結構地震反應分析是比較合適的。
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