隨機震動學與時頻分析

臺北科技大學 114-2 學期課程，課號 356276。

課程大綱

The subject is designed to include two professional realms – random vibration and time-frequency domain analysis. The fundamentals of random vibration include statistics, correlation analysis, spectrum estimation, spectral analysis of the SDF system, and so on. The time-frequency domain analysis includes the FFT technique, Hilbert Transform, short-time Fourier Transform, and Wavelet analysis, and so on.

課程進度

Week01/Introduction to Probability Distributions and Averages Week02/Joint Probability Distributions, Ensemble Averages Week03/Correlation Week04/Fourier Analysis Week05/Spectral Density Week06/Excitation – Response Relations for Linear Systems Week07/Transmission of Random Vibration Week08/Mid-term Exam Week09/Statistics of Narrow Band Processes Week10/Accuracy of Measurements Week11/Digital Spectral Analysis I: Discrete Fourier Transforms Week12/Digital Spectral Analysis II: Windows and Smoothing Week13/SDOF Spectral Analysis Week14/Short-time Fourier Transform Week15/Hilbert Transform Week16/Wavelet Analysis and Its Application Week17/Wavelet Analysis and Its Application Week18/Final Exam

評量方式

Attendance: 20% Mid-term Exam: 25% Final Exam: 25% Report: 30%

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 "An Introduction to Random Vibrations, Spectral & Wavelet Analysis 3/e" by D. E. Newland "Probability Concepts in Engineering - Emphasis on Applications to Civil and Environmental Engineering 2/e" by A. H-S Ang & W. H. Tang