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カジヤマ ユウジ
Yuji Kajiyama
梶山 裕二 所属 教育学部 職種 准教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2021/09 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Oscillation of a piston in a cylinder and its approximate solutions |
| 執筆形態 | 単著 |
| 掲載誌名 | The Physics Educator |
| 掲載区分 | 国外 |
| 出版社・発行元 | World Scientific |
| 巻・号・頁 | 03,pp.2150011-1-2150011-7 |
| 総ページ数 | 7 |
| 著者・共著者 | Yuji Kajiyama |
| 概要 | We discuss the oscillation of a piston in a cylinder with various amplitudes in adiabatic processes.
When a piston in a cylinder moves due to the pressure of a contained ideal gas, it will oscillate like a harmonic oscillator in the case of small amplitude. However, it is difficult to obtain an analytic solution of the equation of motion because of its nonlinearity in general. In this paper, we find that analytic solutions are expressed by elementary functions under approximations of various amplitudes, which can well describe the motion of the piston. It will help students to understand a nonlinear equation of motion appearing in thermodynamics. |