| Course title | |||||
| 振動・波動 [Vibrations and Waves] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | 3rd | |
| Course type | 3rd | Course code | 022617 | ||
| Instructor(s) | |||||
| 栁澤 実穂 [YANAGISAWA Miho] | |||||
| Facility affiliation | Graduate School of Engineering | Office | Email address | ||
| Course description |
| Oscillation and waves form the foundation of physics in a wide range of fields: mechanical engineering, construction engineering, material engineering, and electronic engineering. In dynamics considering one mass point, the displacement of a mass point is expressed by a one-variable function of time, whereas the displacement of a one-dimensional wave is a two-variable function of time and space. In this lecture, we start with movement of a certain mass point, proceed to vibration of several mass points linked to each other, and finally learn wave like a string. In oscillation, we can see various unique characteristics of waves: beat of two oscillations, standing wave, interference, and diffraction. The most important concept to explain these phenomena is the principle of wave superposition. Therefore, we focus on 'coupled oscillator' and 'wave superposition principle' in this lecture. This course is taught by Prof. Miho Yanagisawa. |
| Expected Learning |
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(1) Be able to think from the movement of one mass point to the vibrational movement of multiple mass points and then to waves such as continuous strings. (2)Be able to uniformly explain the unique properties of various waves such as beats, standing waves, interference and diffraction according to the principle of wave superposition. (3)Be able to understand how many phenomena can be explained with less basic thinking. See the curriculum map. |
| Course schedule |
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1. Review of simple harmonic oscillation 2. Damped oscillation 3. Forced oscillation and resonance 4. Base Excitation model and earthquake 5. Oscillation of 2-3 mass points 6. Coupled oscillation and normal mode 7. 8. Wave equation of a string (1) 9. Wave equation of a string (2) 10. Principle of wave superposition 11. Beat and standing wave (1) 12. Beat and standing wave (2) 13. Two-dimensional wave and interference 14. Reflection and refraction 15. Summary |
| Prerequisites |
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Requires basic understanding on mechanical physics. Prepare and review according to the university's standard hours. |
| Required Text(s) and Materials |
| Japanese |
| References |
| Assessment/Grading |
| 70% by examinations + 30% by exercise |
| Message from instructor(s) |
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| Remarks 1 |
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| Last update |
| 6/1/2019 3:10:16 PM |