Advanced Structural Dynamics

Course title

4M600700

,7M100900

HOSOYA Naoki

Purpose of class

The purpose of this class is to provide a presentation for the theory of modal analysis.

Course content

This course focuses on modal analysis that is a fundamental technique for investigating dynamic characteristics of structures.

Goals and objectives

To understand multiple-degree-of-freedom systems
To understand theoretical modal analysis
To analyze time history response of multiple-degree-of-freedom systems based on modal analysis

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Report	Total.
1.	30%	30%
2.	30%	30%
3.	40%	40%
Total.	100%	-

Language

English

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
1．		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

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.

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in the class	I may give feedback to students by email or a meeting in person.

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

Prerequisites

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

I will hold office hours 30 minutes after the lecture. I will accept questions via email, however, I cannot provide scores.

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge

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	N/A

Education related SDGs:the Sustainable Development Goals

4.QUALITY EDUCATION
9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
12.RESPONSIBLE CONSUMPTION & PRODUCTION

Last modified : Sat Mar 14 13:50:36 JST 2026