| dc.contributor.advisor | 李明融 | zh_TW |
| dc.contributor.author (Authors) | 洪三原 | zh_TW |
| dc.creator (作者) | 洪三原 | zh_TW |
| dc.date (日期) | 1997 | en_US |
| dc.date.accessioned | 28-Apr-2016 09:55:56 (UTC+8) | - |
| dc.date.available | 28-Apr-2016 09:55:56 (UTC+8) | - |
| dc.date.issued (上傳時間) | 28-Apr-2016 09:55:56 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002002161 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/87106 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 84751004 | zh_TW |
| dc.description.abstract (摘要) | In this work we deal with the nonlinear o.d.e u"+ku = εu<sup>3</sup> which represents a spring-mass system with no damping but perturbed by external force εu<sup>3</sup>. We want to know how the spring constant k and the perturbed term act on the equation. So we study this equation by the way: | zh_TW |
| dc.description.tableofcontents | Introduction-----1 I Small Free Motions of a Spring-Mass System-----3 I.1 Undamped Motions-----3 I.2 Damped Modons-----6 II The Equation u" = u3-----9 II.1 Negative Energy E(0) < 0-----10 II.2 Null Energy E(0) = 0-----18 II.3 Positive Energy E(0) > 0-----23 II.4 The Equation u" = -u3-----29 III The Equation u" + ku = εu3-----31 Appendix-----36 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002002161 | en_US |
| dc.subject (關鍵詞) | Damping | en_US |
| dc.subject (關鍵詞) | Life-span | en_US |
| dc.subject (關鍵詞) | Energy equation | en_US |
| dc.subject (關鍵詞) | Blow-up | en_US |
| dc.subject (關鍵詞) | Periodic | en_US |
| dc.title (題名) | 振動彈簧的擾動性質 | zh_TW |
| dc.title (題名) | On the perturbation of vibrating spring | en_US |
| dc.type (資料類型) | thesis | en_US |
