| Course title | |||||
| 振動・波動の物理 [Physics of Vibrations and Waves] | |||||
| Course category | technology speciality courses | Requirement | Credit | 2 | |
| Department | Year | 1～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 021303 | ||
| Instructor(s) | |||||
| 臼井 博明 [USUI Hiroaki] | |||||
| Facility affiliation | Faculty of Engineering | Office | 4-241 | 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. 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 Solve the equations of motions based on the classical mechanics 2.Mathematical expression of oscillation using complex function Solve the equations of motions using complex expression of trigonometric function 3. Forced oscillation and resonance Understand the characteristics of forced oscillation and its dependence on frequency and friction 4. Addition of harmonic oscillation and beating Understand the phenomenon that occurs under coexistence of two harmonic oscillations 5. Two-dimensional oscillation Understand the phenomenon that occurs under coexistence of diagonal harmonic oscillations 6. Coupled oscillation and normal mode Understand the phenomenon that occurs under an interaction between two harmonic oscillations 7. Drills Solve the problems based on the aforementioned items 8. Fundamentals of wave motion Understand the characteristics of wave motion and phase velocity 9. Wave equation of a string and a compressive wave Derive the wave equations of string and compressive wave from the equations of motion 10. Reflection of wave Understand the phenomena that occur at the edges of medium 11. Travelling wave, standing wave and fundamental oscillation of a string Understand the phenomenon of standing wave and its application to fundamental oscillation of a string 12. Two- and three-dimensional waves Describe the waves that occurs in two or three dimensional space 13. Heugens' principle, reflection and refraction Understand the phenomena of reflection and refraction using Heugens' principle 14. Dispersion of refractive index and diffraction Understand the wavelength dispersion by prism and grating 15. Final examination |
| Prerequisites |
| Requires basic understanding on mechanical physics |
| Required Text(s) and Materials |
| 物理学通論Ⅰ（原 康夫 著、学術図書出版） |
| References |
| No specified reference books. |
| Assessment/Grading |
| 90% by final examination + 10% weekly 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 |
| 4th and 5th period on Tuesday at Bld.4 Room 241 |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 3/10/2020 3:02:54 PM |