頁籤選單縮合
題 名 | A New Perturbation Technique for Critically Damped Nonlinear Systems |
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作 者 | Azad, Abul Kalam; Haque, Emdadul; Alam, M. Shamsul; | 書刊名 | 東吳數理學報 |
卷 期 | 33:4 2007.10[民96.10] |
頁 次 | 頁669-677 |
分類號 | 313 |
關鍵詞 | Non-oscillations; Asymptotic solution; Critical damping; |
語 文 | 英文(English) |
英文摘要 | As implepert urbation technique is developed to investigate the critically damped nonlinear systems. Recently, Shamsul [2] has presented an approximate technique (based on the Krylov-Bogoliubov-Mitropolskii method) to solve similar critically damped nonlinear systems with small non-linearities. Only for certain initial conditions Shamsul's solution can be used when nonlinearity is significant. On the contrary, the new solution gives desired results for various initial conditions whether the nonlinearity is small or significant. Most of the cases the new solutions give better results than the existing solutions obtained by Shamsul [2] and Sattar [12]. The method has another merit that the initial condition equations for the variables can be solved analytically; but for the methods [2,12] the same are solved by the numerical method. The method is illustrated by an example. |
本系統中英文摘要資訊取自各篇刊載內容。