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
|Intercultural skills||Communication skills||Specialist 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 based on the study-aid books listed below by lecturer.
Structural Dynamics, written by Masaaki Okuma, Asakura
Spectral analysis, written by Mikio Hino, Asakura.
The course scores are basically determined by integrating final examination (approximately 70%) and exercises (approximately 30%). However, an alternative option, which excludes final examination, may be adopted in cases such as the situation that some students are going to join tour events of visiting foreign universities organized by Tokyo Tech in the period of final examination.
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.