مروری بر تئوری موجک و کاربردهای آن در مهندسی سازه و زلزله

نوع مقاله : مقاله مروری

نویسندگان

دانشکده‌ی مهندسی عمران و حمل و نقل، دانشگاه اصفهان، اصفهان، ایران

چکیده

تبدیل موجک به عنوان ابزاری پیشرفته برای تحلیل فرکانسی امواج، کاربردهای متنوعی در شاخه‌‌های مختلف مهندسی دارد. مشخصه‌‌ی اصلی تبدیل موجک نسبت به ابزار سنتی‌‌تر تحلیل فرکانسی نظیر تبدیل فوریه، توانایی زمان- فرکانسی بودن آن است. به عبارت دیگر با استفاده از تبدیل موجک می‌‌توان زمان وقوع فرکانس‌‌های مختلف را در امواج پایا و ناپایا به دست آورد. در دو دهه‌‌ی اخیر استفاده از این ابزار در مهندسی سازه و زلزله نیز بسیار گسترش یافته است. می‌‌توان گفت که از این ابزار در مهندسی سازه و زلزله در سه شاخه‌‌ی اصلی تحلیل فرکانسی امواج زلزله، تشخیص آسیب و نویززدایی بهره برده می‌‌شود. در این نوشتار ابتدا تئوری موجک به صورتی مرتبط با مهندسی سازه و زلزله تشریح می‌‌شود. سپس در گام بعدی مطالعات مهم انجام شده در هر یک از حوزه‌‌های ذکر شده به تفکیک ارائه شده است.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

A review of wavelet theory and its applications in structural and earthquake engineering

نویسندگان [English]

  • Noorollah Majidi
  • Mahdi Zandi
  • Hossein Tajmir Riahi
Department of Civil Engineering, University of Isfahan, Isfahan, Iran
چکیده [English]

Wavelet transform, as an advanced tool for frequency analysis of waves, has various applications in different fields of engineering. The main characteristic of the wavelet transform, compared to more traditional frequency analysis tools such as the Fourier transform, is its ability to be time-frequency. In other words, by using the wavelet transform, it is possible to obtain the occurrence time of different frequencies in stable and unstable waves. In the last two decades, the use of this tool in structural and earthquake engineering has also extensively expanded. It can be said that this tool is used in structural and earthquake engineering in three main categories of frequency analysis of earthquake waves, damage detection and de-noising. In this article, wavelet theory is first explained in a way related to structural engineering and earthquakes. Then, in the next step, the important studies conducted in each of the mentioned fields are presented separately

کلیدواژه‌ها [English]

  • Wavelet transform
  • Mother wavelet functions
  • Computational costs
  • Down-sampling
  • Dynamic analysis

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