Course title
Advanced Structural Dynamics

hosoya naoki
Course content
This course focuses on modal analysis that is a fundamental technique for investigating dynamic characteristics of structures.
Purpose of class
The purpose of this class is to provide a presentation for the theory of modal analysis.
Goals and objectives
  1. To understand multiple-degree-of-freedom systems
  2. To understand theoretical modal analysis
  3. To analyze time history response of multiple-degree-of-freedom systems based on modal analysis
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introduction
Equation of motion (multidegree of freedom systems)
To investigate modal analysis 100minutes
To investigate equation of motion (multidegree of freedom systems) 90minutes
2. Eigenvalue problem and generalized eigenvalue problem To investigate eigenvalue problem and generalized eigenvalue problem 190minutes
3. Eigenvalue and natural mode and orthogonality of natural mode To investigate eigenvalue, natural mode and orthogonality of natural mode 190minutes
4. Modal coordinate, modal mass and modal stiffness To investigate modal coordinate, modal mass and modal stiffness 190minutes
5. Frequency response function To investigate frequency response function 190minutes
6. Programming (Three-degree-freedom-systems: Frequency response function) To investigate programming (Three-degree-freedom-systems: Frequency response function) 190minutes
7. Programming (Three-degree-freedom-systems: transient response in time-domain) To investigate programming (Three-degree-freedom-systems: transient response in time-domain) 190minutes
Total. - - 1330minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Report Total.
1. 30% 30%
2. 30% 30%
3. 40% 40%
Total. 100% -
Evaluation method and criteria
The score will be counted from 100 point by report. The pass criteria is 60 point. The threshold of 60 point is to obtain a frequency response function and mode shapes of a three-degree-of-freedom system.
Textbooks and reference materials
Akio Nagamatsu, Introduction to Modal Analysis
D. J. Ewins, Modal Testing: Theory, Practice and Application
S. S. Rao, Mechanical Vibrations
W. T. Thomson, Theory of Vibration with Applications
You should have academic abilities of Mechanical Dynamics, Vibration Engineering, Equation of motion of multi-degree-of-freedom system, Eigenvalue analysis, Lagrangian, Programming using MATLAB, etc.
Office hours and How to contact professors for questions
  • If you have any questions, please contact during office hours. I will be holding office hours (Zoom) on Fridays from 5-6 PM(JST).
    Apr. 9 - Jul. 16.
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
Last modified : Sun Mar 21 15:19:07 JST 2021