Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/87106| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 李明融 | zh_TW |
| dc.contributor.author | 洪三原 | zh_TW |
| dc.creator | 洪三原 | zh_TW |
| dc.date | 1997 | en_US |
| dc.date.accessioned | 2016-04-28T01:55:56Z | - |
| dc.date.available | 2016-04-28T01:55:56Z | - |
| dc.date.issued | 2016-04-28T01:55:56Z | - |
| dc.identifier | B2002002161 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/87106 | - |
| dc.description | 碩士 | zh_TW |
| dc.description | 國立政治大學 | zh_TW |
| dc.description | 應用數學系 | zh_TW |
| dc.description | 84751004 | zh_TW |
| dc.description.abstract | 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\r\n\r\nI Small Free Motions of a Spring-Mass System-----3\r\n\r\n I.1 Undamped Motions-----3\r\n I.2 Damped Modons-----6\r\n\r\nII The Equation u\" = u<sup>3</sup>-----9\r\n II.1 Negative Energy E(0) < 0-----10\r\n II.2 Null Energy E(0) = 0-----18\r\n II.3 Positive Energy E(0) > 0-----23\r\n II.4 The Equation u\" = -u<sup>3</sup>-----29\r\n\r\nIII The Equation u\" + ku = εu<sup>3</sup>-----31\r\n\r\nAppendix-----36 | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002002161 | en_US |
| dc.subject | Damping | en_US |
| dc.subject | Life-span | en_US |
| dc.subject | Energy equation | en_US |
| dc.subject | Blow-up | en_US |
| dc.subject | Periodic | en_US |
| dc.title | 振動彈簧的擾動性質 | zh_TW |
| dc.title | On the perturbation of vibrating spring | en_US |
| dc.type | thesis | en_US |
| item.cerifentitytype | Publications | - |
| item.grantfulltext | open | - |
| item.openairetype | thesis | - |
| item.fulltext | With Fulltext | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
| Appears in Collections: | 學位論文 | |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| index.html | 115 B | HTML2 | View/Open |
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