【作者】 武士军；

【导师】 叶献国；

【作者基本信息】 合肥工业大学 ， 结构工程， 2004， 硕士

【摘要】 小波分析作为一种新兴的理论，是数学发展史上的重要成果。小波分析已经广泛应用于理论数学、应用数学、信号处理、语音识别与合成、自动控制和图像处理与分析等领域。同传统的傅立叶分析相比，小波分析的最大优势在于可以同时在时频两方面实现局部化分析。本文应用小波分析理论首先对地震波的瞬时谱进行估计，此时的瞬时谱可以考虑地震动的频率非平稳性；然后将估计的瞬时谱带入三角级数模型生成人工地震波。为了拟合给定设计反应谱，本文将生成的人工地震波的小波谱进行适当的调整直至人工地震波的反应谱与设计反应谱相一致，从而生成与给定设计反应谱相一致的地震波。 本文系统地介绍了目前常用的地震波强度指标并提出了基于小波分析的地震强度指标。为了研究地震强度对结构反应的影响，本文使用CANNY程序对两个抗震设防等级为8度的建筑进行了弹塑性时程分析，并对结构在10条实际地震波和15条人工地震波作用下弹塑性时程分析的结果和输入地震波的各种控制指标的关系进行了对比分析。结果表明，本文提出的基于小波分析的地震强度指标由于考虑了地震动的时频局部化特性，可以较好的评估地震动强度对结构的影响。更多还原

【Abstract】 The wavelet analysis is an important production in the mathematical phylogeny. The wavelet analysis is applying widely to pure mathematics, applied mathematics, signal processing, speech recognition and synthesis, automation processing and image analysis etc. The key advantage of the wavelet analysis is that, in contrast to the conventional Fourier analysis, it can be localized in the time and frequency domain simultaneously. Firstly, the time-dependent spectrum of an earthquake wave estimated by the wavelet analysis is proposed in the paper. It can consider for the earthquake non-stationary frequencies in the study of earthquake ground motions.Then, the artificial earthquake waves are computed using the trigonometric series model that includes the instantaneous spectrum. The wavelet spectrum has been suitably scaled for matching of the response spectrum of the artificial earthquake wave with specified design response spectrum. Consequently, the artificial earthquake wave is produced consistent with given response spectra.This paper introduces some current earthquake intensity indices and presents earthquake intensity indices based on wavelet analysis. To research the effect of the earthquake intensity on the structure response, this paper analyzes elasto-plastic performance of two building structures in 8 defending intensity with the help of CANNY program and analyzes the relation between the structure response and the earthquake intensity indices. It indicates that the earthquake intensity index based on wavelet analysis evaluates better the effect the earthquake intensity on the structure response because it can be localized in the time and frequency domain simultaneously.更多还原