2019 Experimental Modal Analysis for Structural Dynamics

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Academic unit or major
Graduate major in Mechanical Engineering
Okuma Masaaki 
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Course description and aims

The experimental modal analysis is one of powerful engineering tools for design, development and troubleshooting of machines in widerange to enhance the performance quality. Various new ideas and applications regarding the analysis are researched today. This lecture introduces the experimental modal analysis with showing some examples and exercises for deep understanding.

The aims to be emphasized are the following.
1. the fundamental theories from the basics of multi-degrees of freedom systems up to the experimental modal analysis
2. Introduction of some kinds of modal vibration testing
3. Introduction of its practicability and future ability

Student learning outcomes

At the end of this course, students will be able to :
1) analyze the vibration of multi-degrees of freedom systems by modal analysis
2) understand modal parameter identification techniques using experimental frequency response functions
3) understand practical usage of identified modal parameters for machine design and development


Mechanical Vibration, Experimental Modal Analysis, Identification, Data acquisition and treatment, Spectal Analysis, Computer Aided Engineering

Competencies that will be developed

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

Class flow

This course consists of lecturing detailed theories by writing on blackboard and some exercises including computer-programing using each student's note-PC. Note that Matlab software is available to download from GSIC to each student's personal note-PC .

Course schedule/Required learning

  Course schedule Required learning
Class 1 Introduction of the history from Mechanical Vibration to Experimental Modal Analysis Understand the research history of the experimental modal analysis, and enhance academic interest in the analysis.
Class 2 The fundamental theory of multi-degrees of freedom vibratory systems Solve the fundamental vibration problems of multi-degrees of freedom systems.
Class 3 Fundamentals of theoretical modal analysis Understand the theoretical modal analysis.
Class 4 Vibration modal testing Understand some standard methos of vibration test.
Class 5 Experimental data treatment and analysis Understand the importance and the methods of data treatment.
Class 6 Fundamentals of modal parameter identification techniques Understand basic methods of modal parameter identification.
Class 7 Visualization of result Understand useful methods to visualize the result of analysis.
Class 8 Practical ability of experimental modal analysis for CAE Understand how to widely use the analysis in CAE.


Structural Dynamics, written by Masaaki Okuma, Asakura, 2012. ( in Japanese )

Reference books, course materials, etc.

Modal testing, written by D. J. Wwins, Research Studies Press LTD.

Assessment criteria and methods

Students' course scores are determined based on final examination (50%) and exercises (50%).

Related courses

  • MEC.D201 : Mechanical Vibrations
  • MEC.D311 : Vibration Analysis
  • MEC.A201 : Engineering Mechanics
  • MEC.B333 : Spectral Analysis
  • MEC.D431 : Advanced Sound and Vibration Measurement

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

Appropriate knowledge of mechanics and mechanical vibration in undergraduate level.


Each student is required to attend with his/her note-PC in which Matlab software has been installed.

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