电路系统的尼尔森方程及其应用

发布时间：2018-04-11 16:28

  本文选题：尼尔森方程 + 电路　； 参考：《力学季刊》2017年03期

【摘要】：研究了电路系统的能量方程的形式,并推导建立了电路系统的尼尔森方程.将复杂的电路系统分为多个相对独立的回路,选取适当的电路广义坐标,运用能量的方法分析电路,利用电路基尔霍夫定律,并根据电路中能量函数及其求导特性,给出了基于尼尔森原则下构建拓扑完整电路系统的尼尔森方程的方法.通过实例验证检验,这种方法是一种一般的且系统的方法,与电路系统的拉格朗日建模方法相比,使用尼尔森方程对电路系统进行建模具有相同的效果.而且,在一些情况下,由于建模过程中求导计算的方法不同,可能使用尼尔森方程对电路系统进行建模会更加容易.
[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.
【作者单位】： 浙江理工大学机械与自动控制学院;浙江理工大学理学院;
【基金】：国家自然科学基金(11272287,11472247)
【分类号】：TM13
，

本文编号：1736773