2021 Advanced Sound and Vibration Measurement

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Academic unit or major
Graduate major in Mechanical Engineering
Matsumura Shigeki 
Course component(s)
Lecture    (ZOOM)
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Offered quarter
Syllabus updated
Lecture notes updated
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Course description and aims

【Course description】
The course teaches Fourier analysis, self/mutual correlation and criteria as the basis of vibration/sound analysis and diagnosis, vibration measurement of a rotating machine, sound measurement.

Students learn the basis of vibration measurement and how to detect unusual vibration/sound and diagnose it.

Student learning outcomes

By the end of the course, students will be able to understand theoretical basis of Fourier transform and application for measurement and analysis.


Fourier transform, Spectrum, Vibration of rotating body, Vibration diagnosis, Sound measurement

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

Do the exercises each time and submit a homework by the next lecture.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Fourier seriese expansion with complex number Understand Fourier seriese expansion with complex number.
Class 2 Autocorrelation and cross-correlation Understand theoretical basis of autocorrelation and cross-correlation
Class 3 Fourier transform and power spectrum Understand Fourier transform and power spectrum
Class 4 Cross-spectrum and transfer function Understand cross-spectrum and transfer function
Class 5 Vibration diagnosis (kurtosis, crest factor, skewness) Understand evaluation value for vibration diagnosis
Class 6 Vibration of rotating body (order analysis, waterfall diagram, synchronous averaging) Understand how to analyze vibration of rotating body
Class 7 Basics of sound Understand basics of sound

Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.


Not specified.

Reference books, course materials, etc.

Course materials are provided on OCW-i.

Assessment criteria and methods

Report 40%, Exercise 60%

Related courses

  • MEC.D201 : Mechanical Vibrations
  • MEC.D311 : Vibration Analysis
  • MEC.D432 : Rotor Dynamics

Prerequisites (i.e., required knowledge, skills, courses, etc.)

Not specified

Contact information (e-mail and phone)    Notice : Please replace from "[at]" to "@"(half-width character).

Shigeki MATSUMURA: matsumura.s.aa[at]m.titech.ac.jp

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