Course title
AB0040002
Vibration Engineering 1

 SAEKI Masato

HOSOYA Naoki
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals Courses
Fundamental Mechanical Engineering D 自然科学の法則に基づいて機械の運動機構や動特性、構造や強度、物質・運動量・エネルギーの流れなど機械工学の基盤技術に関わる物理現象を理解し、現象の予測や解析を行うことができる。 Main
Advanced Mechanical Engineering D 機械工学の基盤技術に関わる物理現象の本質を数理的に理解することができる。機械を設計・製作・運用するために必要な手法（計測、制御、設計、加工など）に習熟し、それらを実際の工学的問題に適用することができる。 Main
Environment and Materials Engineering B 地球環境や地域社会との調和を見据えて、さまざまな工学分野に関わる問題を解決することができる。 Sub
Chemistry and Biotechnology B 地球環境や地域社会との調和を見据えて、さまざまな工学分野に関わる問題を解決することができる。 Sub
Electrical Engineering and Robotics D 電気工学や関連する工学の技術分野を課題に適用し、社会の要求を解決するために応用することができる。 Sub
Advanced Electronic Engineering E 専門的デザイン課題について解決する能力を身に付けることができる。 Sub
Information and Communications Engineering F 社会のニーズに対して技術課題を主体的に発見し、工学分野における分野横断的な知識も活用しつつ、計画的・継続的に取り組んで課題を達成することができる。 Sub
Computer Science and Engineering G 技術的課題に対してさまざまな工学分野の知識を関連付けながら主体的に取り組み、継続的に学修する能力を身に付けることができる。 Sub
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.
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.
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"
Feedback in/outside the class.
Textbooks and reference materials
・教科書：佐藤勇一，「振動の学び方」（オーム社）
・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
  • 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 : Tue Mar 17 04:05:15 JST 2026