In designing a machine, the performance, structure, mass, materials, and energy efficiency of the machine must be taken into
consideration. 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 learn the fundamentals of vibration analysis, including modeling of the object to be analyzed, harmonic vibration, and Fourier series, as necessary knowledge for conducting vibration analysis. Next, in a one-degree-of-freedom vibration model, 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 lecture, students will 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.
In addition, human sensory perception of vibration and examples of vibration analysis will be introduced during the lecture.
In this lecture, students learn the fundamentals of vibration analysis, including modeling of the object to be analyzed, harmonic vibration, and Fourier series, as necessary knowledge for conducting vibration analysis. Next, in a one-degree-of-freedom vibration model, 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 lecture, students will 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.
In addition, human sensory perception of vibration and examples of vibration analysis will be introduced during the lecture.
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 modeling of 2-DOF undamped and damped free vibration and solving the equations of motion.
| 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, various mechanical vibrations and waveforms | Download the lecture materials and review the syllabus. | 30minutes |
| Review basic mechanics and industrial mechanics. | 120minutes | ||
| Study the lecture material and Chapter 1 p.1~10 of the textbook. | 40minutes | ||
| 2. | 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 | ||
| 3. | 1-DOF undamped free vibration (1) Modeling and solving equations of motion | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.25~33 of the textbook. | 90minutes | ||
| 4. | 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 | ||
| 5. | 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 | ||
| 6. | Forced vibration of 1-DOF system (1) Meaning of forced vibration | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.45~51 of the textbook. | 90minutes | ||
| 7. | Forced vibration of 1-DOF system (2) Forced vibration with friction, forced vibration under viscous damping action | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.45~51 of the textbook. | 90minutes | ||
| 8. | Summary and check for understanding (mid-term exam) | Review the contents of the first seven sessions and textbook p. 1~44. | 100minutes |
| (After class) Download and study the lecture materials. | 90minutes | ||
| 9. | Vibration isolation and transient vibration analysis (1) Forced vibration due to displacement, response magnification, transient response, complex solution method | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.51~58 of the textbook. | 90minutes | ||
| 10. | Vibration isolation and transient vibration analysis (2) Vibration isolation | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 3 p.58~61 of the textbook. | 90minutes | ||
| 11. | Vibration of multi-degree-of-freedom systems (1) Undamped vibration of two-degree-of-freedom systems, modeling, solving equations of motion | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 4 p.62~70 of the textbook. | 90minutes | ||
| 12. | Vibration of multi-degree-of-freedom systems (2) Undamped forced vibration of 2-degree-of-freedom systems, dynamic absorber | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 4 p.72~80 of the textbook. | 90minutes | ||
| 13. | Vibration of multi-degree-of-freedom systems (3) Damped vibration of two-degree-of-freedom systems, damped forced vibration, Lagrangian method | Download the lecture materials and review the syllabus. | 100minutes |
| Study Chapter 4 p.86~90 of the textbook. | 90minutes | ||
| 14. | Summary, Vibration Sensation, Vibration Measurement and Analysis | Review the contents of the 3rd to 13th sessions and textbook p. 25~90. | 100minutes |
| Download the lecture materials and review the syllabus. | 30minutes | ||
| Answer and submit the final exam. | 60minutes | ||
| Total. | - | - | 2660minutes |
| 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% | - |
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 |
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 | . |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
- 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Last modified : Sat Sep 09 06:50:38 JST 2023