论文标题
关于非线性机电系统的减少
On the reduction of nonlinear electromechanical systems
论文作者
论文摘要
目前的工作通过准稳态的假设重新审视了机电系统的非线性动力学,讨论了这种方法的基本方面,并阐明了文献中发现的一些混淆点。动力学特征时间尺度的表达是从物理分析中得出的,该分析建立了机电动力学与化学反应动力学之间的类比。它提供了一个物理上的理由,并补充了方程式的非限制化和缩放,以通过假设电气子系统的准稳态态来减少感兴趣的动态,从而消除了从电气方程式中的电感术语。数值实验有助于说明机电系统的典型行为,在初始动态状态附近的边界层现象以及机电态稳态态假设的有效性极限。
The present work revisits the reduction of the nonlinear dynamics of an electromechanical system through a quasi-steady state hypothesis, discussing the fundamental aspects of this type of approach and clarifying some confusing points found in the literature. Expressions for the characteristic time scales of dynamics are deduced from a physical analysis that establishes an analogy between electromechanical dynamics and the kinetics of a chemical reaction. It provides a physical justification, supplemented by non-dimensionalization and scaling of the equations, to reduce the dynamics of interest by assuming a quasi-steady state for the electrical subsystem, eliminating the inductive term from the electrical equation. Numerical experiments help to illustrate the typical behavior of the electromechanical system, a boundary layer phenomenon near the initial dynamic state, and the validity limits of the electromechanical quasi-steady-state assumption discussed here.