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題名 振動彈簧的擾動性質
On the perturbation of vibrating spring
作者 洪三原
貢獻者 李明融
洪三原
關鍵詞 Damping
Life-span
Energy equation
Blow-up
Periodic
日期 1997
上傳時間 28-Apr-2016 09:55:56 (UTC+8)
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:
描述 碩士
國立政治大學
應用數學系
84751004
資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002002161
資料類型 thesis
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) 1997en_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) B2002002161en_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) 84751004zh_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/#B2002002161en_US
dc.subject (關鍵詞) Dampingen_US
dc.subject (關鍵詞) Life-spanen_US
dc.subject (關鍵詞) Energy equationen_US
dc.subject (關鍵詞) Blow-upen_US
dc.subject (關鍵詞) Periodicen_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 springen_US
dc.type (資料類型) thesisen_US