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
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
HW assignments (Including preparation and review of the class.)
Amount of Time Required
Introduction Equation of motion (multidegree of freedom systems)
To investigate modal analysis
To investigate equation of motion (multidegree of freedom systems)
Eigenvalue problem and generalized eigenvalue problem
To investigate eigenvalue problem and generalized eigenvalue problem
Eigenvalue and natural mode and orthogonality of natural mode
To investigate eigenvalue, natural mode and orthogonality of natural mode
Modal coordinate, modal mass and modal stiffness
To investigate modal coordinate, modal mass and modal stiffness
Frequency response function
To investigate frequency response function
Programming (Three-degree-freedom-systems: Frequency response function)
To investigate programming (Three-degree-freedom-systems: Frequency response function)
Programming (Three-degree-freedom-systems: transient response in time-domain)
To investigate programming (Three-degree-freedom-systems: transient response in time-domain)
Relationship between 'Goals and Objectives' and 'Course Outcomes'
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.
Development of social and professional independence
Course that cultivates a basic problem-solving skills
More than one class is interactive
Course by professor with work experience
Work experience and relevance to the course content if applicable
Education related SDGs:the Sustainable Development Goals