- 會議論文
Application of Multi-Step Differential Transform Method on Forced Complex Duffing Oscillators Problem
應用多區間微分轉換法求解強迫複數Duffing振動問題
摘要
本文旨在探討應用多區間微分轉換法求解強迫複數Duffing振動問題。首先對Duffing振動之統御方程式及初值條件取多區間微分轉換，可求得一組遞歸型式代數方程式，其次求解該方程組並取多區間反微分轉換，即可求得Duffing振動之強迫振動解。為印証本文所提方法之正確性，吾人同時以Runge-Kutta 數值法求解兩個振動系統，其一為穩定系統，其二為非穩定系統；其結果相當合理。
並列摘要
Forced complex Duffing oscillator problems are investigated using multi-step differential transform (MSDT) method in this study. First, taking multi-step differential transform on the governing equations and initial conditions of the forced complex Duffing oscillator, a set of algebraic equations is derived. Second, doing some simple algebraic operations on these equations and using multi-step inverse differential transform, we can determine the resulting outputs of the forced complex Duffing oscillator. Finally, for the comparison Runge-Kutta method are used, two examples are given to show the accuracy and efficiency of this method.
延伸閱讀
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