本文選題：尼爾森方程 + 電路　； 參考：《力學季刊》2017年03期

【摘要】：研究了電路系統(tǒng)的能量方程的形式,并推導建立了電路系統(tǒng)的尼爾森方程.將復雜的電路系統(tǒng)分為多個相對獨立的回路,選取適當?shù)碾娐窂V義坐標,運用能量的方法分析電路,利用電路基爾霍夫定律,并根據(jù)電路中能量函數(shù)及其求導特性,給出了基于尼爾森原則下構建拓撲完整電路系統(tǒng)的尼爾森方程的方法.通過實例驗證檢驗,這種方法是一種一般的且系統(tǒng)的方法,與電路系統(tǒng)的拉格朗日建模方法相比,使用尼爾森方程對電路系統(tǒng)進行建模具有相同的效果.而且,在一些情況下,由于建模過程中求導計算的方法不同,可能使用尼爾森方程對電路系統(tǒng)進行建模會更加容易.
[Abstract]:The form of the energy equation of the circuit system is studied, and the Nielsen equation of the circuit system is derived.The complex circuit system is divided into several relatively independent circuits, the appropriate generalized coordinates of the circuit are selected, the method of energy is used to analyze the circuit, and the Kirchhoff law of the circuit is used, and according to the energy function in the circuit and its derivative characteristics,The method of constructing the Nielsen equation of topological complete circuit system based on Nielsen principle is presented.It is proved that this method is a general and systematic method. Compared with the Lagrange modeling method of circuit system, the Nielsen equation is used to model the circuit system with the same effect.Moreover, in some cases, it may be easier to use Nielsen equation to model the circuit system because of the different methods of the derivation calculation in the modeling process.
【作者單位】： 浙江理工大學機械與自動控制學院;浙江理工大學理學院;
【基金】：國家自然科學基金(11272287,11472247)
【分類號】：TM13
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本文編號：1736773