In designing a machine, it is necessary to consider its performance, structure, mass, materials, energy efficiency, and other
factors. Therefore, mechanical engineers need to understand vibration phenomena, fully grasp their nature, and design mechanical
systems while taking such mechanical vibrations into account or improve the resulting vibration phenomena.
In this lecture, students will first review the basic mechanics and learn the fundamentals of vibration, including modeling of the object to be analyzed, harmonic vibration, and Fourier series, as the necessary knowledge for conducting vibration analysis. Next, in the vibration model of a one-degree-of-freedom system, vibration in the absence of external force (free vibration) and vibration under external force (forced vibration) are analytically obtained to understand their properties.
Most of the actual mechanical systems are multi-degree-of-freedom systems, which have multiple natural frequencies and vibration modes (forms of vibration) corresponding to them. In this course, students learn about damped and undamped forced vibration of multi-degree-of-freedom vibration systems, and learn the basics of considering vibration problems that arise in industrial products.
Students will also learn the fundamentals of mechanics necessary for designing mechanical elements.
In this lecture, students will first review the basic mechanics and learn the fundamentals of vibration, including modeling of the object to be analyzed, harmonic vibration, and Fourier series, as the necessary knowledge for conducting vibration analysis. Next, in the vibration model of a one-degree-of-freedom system, vibration in the absence of external force (free vibration) and vibration under external force (forced vibration) are analytically obtained to understand their properties.
Most of the actual mechanical systems are multi-degree-of-freedom systems, which have multiple natural frequencies and vibration modes (forms of vibration) corresponding to them. In this course, students learn about damped and undamped forced vibration of multi-degree-of-freedom vibration systems, and learn the basics of considering vibration problems that arise in industrial products.
Students will also learn the fundamentals of mechanics necessary for designing mechanical elements.
Understand the importance of mechanical dynamics in machine design and be able to understand and practice the basic concepts
and analysis methods of mechanical vibration.
- To understand an overview of mechanics and the nature of harmonic vibration.
- Understand modeling of one-degree-of-freedom undamped vibration and solving the equations of motion.
- Understand the meaning of viscosity and dry friction and how to solve the equations of motion.
- Understand the meaning of forced oscillation and the solution of the equations of motion.
- Understand basics of mechanisms.
| 中間試験 | 期末試験（レポート） | 課題等の取り組み | Total. | |
|---|---|---|---|---|
| 1. | 5% | 5% | 10% | 20% |
| 2. | 5% | 5% | 10% | 20% |
| 3. | 5% | 5% | 10% | 20% |
| 4. | 5% | 5% | 10% | 20% |
| 5. | 0% | 10% | 10% | 20% |
| Total. | 20% | 30% | 50% | - |
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Explanation of the syllabus, mechanical mechanics and overview and positioning, general explanation | Download the lecture materials and review the syllabus. | 30minutes |
| Review basic mechanics and industrial mechanics. | 160minutes | ||
| 2. | Dynamics of a mass | Download the lecture materials and review the syllabus. | 100minutes |
| Review basic mechanics and industrial mechanics. | 90minutes | ||
| 3. | Motion and Equations of Motion | Download the lecture materials and review the syllabus. | 100minutes |
| Review basic mechanics and industrial mechanics. | 90minutes | ||
| 4. | Motion of rigid body and equations of motion, moment of inertia | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 1 p.1~10 of the textbook. | 90minutes | ||
| 5. | Fundamentals of vibration, physical meaning of harmonic vibration | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 2 p.10~23 of the textbook. | 90minutes | ||
| 6. | Damped free vibration of 1-DOF system (1) Modeling and solving equations of motion | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.36~42 of the textbook. | 90minutes | ||
| 7. | Damped free vibration in 1-DOF system (2) Free vibration subject to dry friction | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.42~44 of the textbook. | 90minutes | ||
| 8. | Forced vibration of 1-DOF system (1) Meaning of forced vibration | Review the contents of the first seven sessions and textbook p. 1~44. | 100minutes |
| (After class) Download and study the lecture materials. | 90minutes | ||
| 9. | Forced Vibration of 1-DOF System (2) Forced Vibration with Friction, Forced Vibration with Viscous Damping | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.45~51 of the textbook. | 90minutes | ||
| 10. | Summary and check for understanding (mid-term exam) | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.45~51 of the textbook. | 90minutes | ||
| 11. | Vibration of multi-degree-of-freedom systems (undamped vibration of 2-DOF systems), technology development considering vibration | Download the lecture materials and review the syllabus. | 190minutes |
| 12. | Introduction to Mechanics, Mechanisms and Degrees of Freedom | Download the lecture materials and review the syllabus. | 190minutes |
| 13. | Link mechanisms | Download the lecture materials and review the syllabus. | 190minutes |
| 14. | Gears, Summary of this class | Download the lecture materials and review the syllabus. | 190minutes |
| Total. | - | - | 2660minutes |
The results of the mid-term examination (20%), the final examination (report) (30%), and assignments and other efforts (50%)
will be evaluated, taking into account the overall effect of learning. A score of 100 points shall be given when the achievement
target is set at 100%, and a score of 60 points or higher shall be considered as passing.
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback in the class | 授業の前後、および在室時質疑応答(メールにてアポイント要)、メールによる質問を受け付ける。 |
Textbook: Iwatsubo and Hiroshi Matsuhisa, Shindoukougaku no kiso New Edition, Morikita Shuppan (ISBN 978-4-627-66682-5)
Reference books
Yoshikawa, Matsui, and Ishii, Kikai no rikigaku, Corona Sha (ISBN 978-4-339-04273-3)
Iwata, Saeki and Komatsuzaki, Kikai shindougaku, Suurikogakusha (ISBN 978-4-901683-80-7)
Reference books
Yoshikawa, Matsui, and Ishii, Kikai no rikigaku, Corona Sha (ISBN 978-4-339-04273-3)
Iwata, Saeki and Komatsuzaki, Kikai shindougaku, Suurikogakusha (ISBN 978-4-901683-80-7)
It is desirable that students have taken "Fundamental Mechanics," "Industrial Mechanics and Statics," and "Industrial Mechanics
and Dynamics."
- Q&A before and after class and when in the room (appointment by e-mail), questions by e-mail are accepted.
- Course that cultivates a basic problem-solving skills
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| Applicable | Classes will be planned and taught by faculty members who have been engaged in research, advanced development, product design, CAE, and experimental evaluation at automobile manufacturers, and who have experience in commercializing many technologies. |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Tue Feb 11 04:19:28 JST 2025