Course title
4M994000
Advanced Structural Dynamics

hosoya naoki Click to show questionnaire result at 2018
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 and finite element method.
Goals and objectives
  1. To understand multiple-degree-of-freedom systems.
  2. To understand theoretical modal analysis.
  3. To make programs for analyzing multiple-degree-of-freedom systems using finite element method
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 and finite element method
To investigate equation of motion (multidegree of freedom systems)
190minutes
2. Eigenvalue problem, generalized eigenvalue problem To investigate eigenvalue problem, generalized eigenvalue problem 190minutes
3. Eigenvalue and natural mode, orthogonality of natural mode To investigate eigenvalue and natural mode, 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. Element stiffness matrix in truss structure To investigate element stiffness matrix in truss structure 190minutes
7. Element stiffness matrix in rahmen structure To investigate element stiffness matrix in rahmen structure 190minutes
8. Total stiffness matrix and total mass matrix To investigate total stiffness matrix and total mass matrix 190minutes
9. Special lecture (Basics of Smart Structures and Systems) To investigate basics of Smart Structures and Systems 190minutes
10. Vibration tests for beam structures
Finite element analysis using NASTRAN
To investigate vibration tests for beam structures
To investigate finite element analysis using NASTRAN
190minutes
11. Programming (Three-degree-freedom-systems: Frequency response function) To investigate programming (Three-degree-freedom-systems: Frequency response function) 190minutes
12. Programming (Beam structure: Theoretical analysis) To investigate programming (Beam structure: Theoretical analysis) 190minutes
13. Programming (Beam structure: Total stiffness matrix and total mass matrix) To investigate programming (Beam structure: Total stiffness matrix and total mass matrix) 190minutes
14. Programming (Beam structure: Frequency response function) To investigate programming (Beam structure: Frequency response function) 190minutes
Total. - - 2660minutes
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.
Textbooks and reference materials
Akio Nagamatsu, Introduction to Modal Analysis, Coronasha, 1993.
ISBN4-339-08225-2
Prerequisites
Mechanical dynamics, Vibration engineering
Office hours and How to contact professors for questions
  • Friday lunch break
Relation to the environment
Regionally-oriented
Development of social and professional independence
    Active-learning course
    Last modified : Wed Oct 17 07:18:48 JST 2018