Course title
AB0040002
Vibration Engineering 1

 SAITO Hiroyasu

SAEKI Masato

HOSOYA Naoki
Course description
Students who completes this course will analyze free and forced vibrations of single degree of freedom (DOF) systems and will develop mathematical techniques to model mechanical systems.
Purpose of class
The objective for this course is for students to have a clear understanding of vibrations. Students will analyze free and forced vibrations of single degree of freedom system and will develop mathematical techniques to model mechanical systems. Topics include free vibration, forced vibration, natural frequency and resonance.
Goals and objectives
  1. To model mechanical systems and to apply principles of mechanical vibrations such as Newton’s second law to obtain their governing equations of motion
  2. To obtain the natural and damped frequency for the single degree of freedom system
  3. To obtain response of the single degree of freedom system to harmonic excitation
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm Exam 1 Midterm Exam 2 Final Exam Total.
1. 10% 10% 20% 40%
2. 10% 0% 20% 30%
3. 0% 10% 20% 30%
4. 0% 0%
5. 0% 0%
Total. 20% 20% 60% -
Evaluation method and criteria
The grade weights are
Mid-term exam 1:　20%
Mid-term exam 2:　20%
Final exam: 60%

Scored larger than 60 points will be passed.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Fundamental concepts in vibration and modeling
・Introduction to mechanical vibration
・Introduction to modeling and analysis 		Reseach about the mechanical vibrations． 190minutes
2. Harmonic vibration
・Frequency, amplitude, period and phase angle 		Reseach about the harmonic vibration and conplex-number representation of harmonic vibration． 190minutes
3. Free vibration of undamped single DOF systems (1)
・Derivation the equation of motion of a single-degree-of-freedom system using Newton’s second law 		Reseach about number of degrees of freedom, mechanical model and equation of motion． 190minutes
4. Free vibration of undamped single DOF systems (2)
・Translational and rotational motions 		Reseach about translational and tortinal systems． 190minutes
5. Midterm Exam 1 Review for Midterm Exam 1. 190minutes
6. Free vibration of viscously damped SDOF systems (1)
・Damping ratio and damped natural frequency
・Response of viscous damped system 		Reseach about the free vibration of single-degree-of-freedom systems． 190minutes
7. Free vibration of viscously damped SDOF systems (2)
・Logarithmic decrement
・Coulomb damping 		Reseach about the frequency of damped vibration and logarithmic decrement． 190minutes
8. Harmonically forced SDOF systems (1)
・Response of an undamped system 		Reseach about an undamped system subjected to harmonic force． 190minutes
9. Harmonically forced SDOF systems (2)
・Response of a damped system 		Reseach about a damped system subjected to harmonic force． 190minutes
10. Harmonically forced SDOF systems (3)
・Forced vibration with coulomb damping
・Reciprocating and rotating unbalance 		Reseach about the response of a damped system under rotating unbalance． 190minutes
11. Midterm Exam 2 Review for Midterm Exam 2. 190minutes
12. Harmonically forced SDOF systems (4)
・Vibration isolation
・Damped system under the harmonic motion of the base 		Reseach about the response of a Damped system under the harmonic motion of the base． 190minutes
13. Vibration under general forcing condtions
・Response to an impulse
・Convoutional integral 		Reseach about the response under general forcing condtions． 190minutes
14. Final Exam Review what students learn in this course. 190minutes
Total. - - 2660minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
The Others 授業内および授業外で適宜フィードバックを行う．
Textbooks and reference materials
・教科書：岩田，佐伯，小松崎「機械振動学」(数理工学社)
・参考書：岩田，佐伯，小松崎「基礎演習　機械振動学」(数理工学社)
　　　　　その他，機械力学，振動工学に関する図書．
Prerequisites
Students are required to review how to obtain equation of motion.
Office hours and How to contact professors for questions
  • 30 minutes before and after the lecture
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
Applicable Work experience on Vibration Engineering is introduced.
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
  • 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Fri Mar 07 11:43:00 JST 2025