| Course title | |||||
| 振動・波動の物理 [Physics of Vibrations and Waves] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | Fall | |
| Course type | Fall | Course code | 021312 | ||
| Instructor(s) | |||||
| 臼井 博明 [USUI Hiroaki] | |||||
| Facility affiliation | Faculty of Engineering | Office | Bldg 4-Room 241 | Email address | |
| Course description |
| After reviewing the basics of harmonic oscillation, its principal is applied to understand coupled oscillation and normal oscillation. Then we learn about the phenomena of wave motion. With the one-dimensional wave, important phenomena such as reflection, standing wave, and natural vibration are explained. We further proceed to two and three-dimensional waves, where Huygens' principle, refraction, and diffraction are important topics to understand. Frequent mentions are to be made about the application to the physical phenomena in our daily life and the connections to material science. |
| Expected Learning |
|
1. Solve the equation of motion of oscillatory phenomena under existence of friction and external force. 2. Understand the influence of frequency on amplitude and phase in the phenomena of forced oscillation. 3. Give a qualitative description of the beat of two oscillations. 4. Solve the motion equation of coupled oscillation, and derive its normal mode. 5. Give a qualitative description of wave motion and understand the relation between speed, frequency and wavenumber. 6. Understand the generalized equation of wave and the characteristics of its solution 7. Give a qualitative description of reflection of wave. 8. Give a qualitative description of standing wave, and derive the fundamental oscillation. 9. Understand the phenomena of reflection and refraction from the Heugens' principle. |
| Course schedule |
|
1. Review of harmonic oscillation and damped oscillation 2.Mathematical expression of oscillation using complex function 3. Forced oscillation and resonance 5. Two-dimensional oscillation 6. Coupled oscillation and normal mode 7. Fundamentals of wave motion 8. Wave equation of a string 9. Reflection of wave 10. Travelling wave and standing wave 11. Fundamental oscillation of a string 12. Two- and three-dimensional wave 13. Heugens' principle 14. Reflection and refraction 15. Dispersion of refractive index. Diffraction |
| Prerequisites |
| Requires basic understanding on mechanical physics |
| Required Text(s) and Materials |
| In Japanese |
| References |
| Assessment/Grading |
| 90% by final examination + 10% weekly attendance and exercise |
| Message from instructor(s) |
| This subject is very useful to understand variety of physical phenomena in our daily life. For the students who major material science and chemistry, this subject plays an important role in understanding the analysis of molecular structure, interaction of light and materials, thermal and mechanical properties of materials etc. |
| Course keywords |
| harmonic oscillation, forced oscillation, coupled oscillation, wave equation, standing wave |
| Office hours |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 6/11/2018 4:26:45 PM |