Course title
B01004004
Vibration Engineering

 HOSOYA Naoki Click to show questionnaire result at 2019
Course description
Vibration engineering covers two-degree-of-freedom or multidegree-of-freedom systems. Furthermore, the course also covers a finite element method to get natural frequencies and vibration mode shapes.
Purpose of class
Students derive and solve differential equations of motion of two-degree-of-freedom or multidegree-of-freedom systems.
Students make programs for solving those systems using MATLAB based on a finite element method.
Goals and objectives
  1. To understand the derivation and solution of differential equations of motion in two-degree-of-freedom systems
  2. To get natural frequencies and vibration mode shapes in two-degree-of-freedom systems
  3. To understand the derivation and solution of differential equations of motion in multidegree-of-freedom systems
  4. To understand a finite element method and to create a computer program to get natural frequencies and vibration mode shapes in multidegree-of-freedom systems
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Two-degree-of-freedom systems (translational degrees of freedom system) To read two-degree-of-freedom systems (translational degrees of freedom system) 190minutes
2. Two-degree-of-freedom systems (translational and rotational degrees of freedom system) To read two-degree-of-freedom systems (translational and rotational degrees of freedom system) 190minutes
3. Two-degree-of-freedom systems for forced vibration To read two-degree-of-freedom systems for forced vibration 190minutes
4. Dynamic vibration absorber To read dynamic vibration absorber 190minutes
5. Truss (stiffness matrices) To read truss (stiffness matrices) 190minutes
6. Truss (equation of motion of the complete system) To read truss (equation of motion of the complete system) 190minutes
7. Truss (incorporation of bounfary conditions) To read truss (incorporation of bounfary conditions) 190minutes
8. Rahmen (stiffness matrices) To read rahmen (stiffness matrices) 190minutes
9. Rahmen (equation of motion of the complete system) To read rahmen (equation of motion of the complete system) 190minutes
10. Rahmen (3D structures) To read rahmen (3D structures) 190minutes
11. Mass matrices To read mass matrices 190minutes
12. Commercially available finite element software (NASTRAN) To read a commercially available finite element software (NASTRAN) 190minutes
13. Programing with MATLAB To create a computer program to get natural frequencies and vibration mode shapes in multidegree-of-freedom systems based on a finite element method 190minutes
14. Special lecture To investigate vibration engineering in the automobile industry 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report Total.
1. 25% 25%
2. 25% 25%
3. 25% 25%
4. 25% 25%
Total. 100% -
Evaluation method and criteria
The score will be counted from 100 points by the report. The pass criteria are 60 points. The threshold of 60 points is to create a computer program with MATLAB for a beam element in two translational and one rotational degrees of freedom (three elements and four nodes) and to obtain natural frequencies and vibration mode shapes.
Textbooks and reference materials
S. S. Rao, Mechanical Vibrations
Hayato Togawa, A finite element method
Prerequisites
Engineering mechanics (dynamics) should be reviewed in advance.
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.
Regionally-oriented
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 N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Feedback on exams, assignments, etc.
I give feedback to students during class.
I may give feedback to students by email or a meeting in person.
Last modified : Thu Sep 14 04:04:32 JST 2023