基于二次振子的无限平衡系统动力学研究

Volume 2: 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC) Pub Date : 2020-08-17 DOI:10.1115/detc2020-22233

S. Xing, A. Luo, Jianzhe Huang

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引用次数: 0

摘要

本文讨论了周期强迫二次振子无限平衡系统的局部和全局动力学问题。完成了正则平衡和无限平衡的局部分析，并通过数值模拟给出了周期强迫无限平衡系统的全局响应。在无限平衡面附近，周期强迫无限平衡系统可简化为一维系统，并可形成新的收缩区域。可以人为地设计无限平衡面来控制原二次非线性振子的运动。这种性质就像一个不连续的动力系统，可以用于非线性系统的控制器设计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Dynamics of a Quadratic-Oscillator-Based, Infinite-Equilibrium System

In this paper, the local and global dynamics of a periodically forced, quadratic-oscillator-based, infinite-equilibrium system is discussed. The local analysis of regular equilibriums and infinite-equilibriums is completed, and the global responses of the periodically forced infinite-equilibrium system are presented through numerical simulations. Near the infinite-equilibrium surface, the periodically forced infinite-equilibrium system can be reduced to a one-dimensional system and new contraction regions can be formed. The infinite-equilibrium surface can be artificially designed to control the motions of the original quadratic nonlinear oscillator. Such a property is like a discontinuous dynamical system, which can be used for controller design in nonlinear systems.

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Volume 2: 16th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (MSNDC)

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