Spectral analysis plays a basic and important technique to analyze the data of dynamic phenomena such as vibration. This course aims to lecture the fundamental theories and knowledges of the specialized technique with exercise using some case-studies in structural dynamics.
An emphasized aim is to lecture for students to gain deep understanding of the theory of Fourier Transformation from the viewpoints of both physics and mathematics and to be able to use the theory for analyzing various actual data.
At the end of this course, students will be able to :
1) understand fundamental theories of dynamics for spectral analysis
2) understand the methods from data acquisition to spectral analysis concretely for practical use
Dynamic Phenomena, Spectrum, Random Vibration, Correlation
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | ✔ Practical and/or problem-solving skills |
Lecturing and exercise using PC to concretely understand the lectured theories and practical usage.
Course schedule | Required learning | |
---|---|---|
Class 1 | Brief introduction of the history of spectral analysis, and basics of random vibration and spectrum | Realize the research history of spectral analysis, and enhance academic interest in it |
Class 2 | Relationship of autocorrelation and spectrum | Understand autocorrelation and spectrum. |
Class 3 | Relationship of crosscorrelation, crossspectrum and transfer function | Understand relationship of crosscorrelation, crossspectrum and transfer function |
Class 4 | Stationary and ergodic | Understand "stationary" and "ergodic" conditions. |
Class 5 | Data acquisition and treatment | Understand basic and standard methods of data acquisition and treatment. |
Class 6 | Programing | Make programming codes to realize the theories. |
Class 7 | Exercise | Understand the theories by computer programming and execution using sample data. |
Class 8 | Applications of spectral analysis in mechanical engineering | Think the applicability of the analysis. |
Several materials are provided by lecturer.
Spectral analysis, written by Mikio Hino, Asakura.
Students' course scores are determined based on final examination (about 70%) and exercises (about 30%).
Bring a note-PC in which Matlab and/or some programing software is available.
Each student is required to attend with his/her note-PC in which Matlab software has been installed.