Return to search

振動彈簧的擾動性質 / On the perturbation of vibrating spring

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:
(I) u" + ku = 0 (II)u" = u<sup>3</sup> (III) u" + ku = εu<sup>3</sup>
During the period of calculating, we find that k, ε and energy constant E(0) play important roles in the properties of the solutions of the equation. Finally we give the relation about them.

Identiferoai:union.ndltd.org:CHENGCHI/B2002002161
Creators洪三原
Publisher國立政治大學
Source SetsNational Chengchi University Libraries
Language英文
Detected LanguageEnglish
Typetext
RightsCopyright &copy; nccu library on behalf of the copyright holders

Page generated in 0.0018 seconds