不同的控制器通过非扰动性分析来抑制混合振荡器的振荡
Galal M Moatimid1, A T El-Sayed2, Hala F Salman3
1Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt.
Scientific reports
|January 3, 2024
概括
非扰动方法 (NPA) 为非线性振荡和结构分析提供了精确的模拟. 负衍生反 (NDF) 已被证明是抑制系统中有害振动的最有效方法.
科学领域:
- 机械工程 机械工程
- 应用数学 应用数学 应用数学
- 非线性动力学是一种非线性动力学.
背景情况:
- 非线性振荡和结构振动在工程系统中构成重大挑战.
- 传统方法可能难以准确模拟和控制复杂的非线性行为.
研究的目的:
- 为分析非线性系统建立一种非扰动方法 (NPA).
- 研究振动抑制技术,以提高结构稳定性.
- 通过数值和计算模拟来验证拟议的方法.
主要方法:
- 使用非扰动方法 (NPA) 开发等效的线性微分方程.
- 对于扰乱溶液的平均方法的应用.
- 实施和比较各种控制策略:正定位反 (PPF),积分共振控制 (IRC),非线性积分正定位反 (NIPPF) 和负导数反 (NDF).
- 在共振条件下进行结构分析和稳定性研究.
主要成果:
- 非扰动方法 (NPA) 显示出与精确频率和数值解决方案的高度一致性.
- 该方法允许准确模拟非线性振荡.
- 发现负衍生反 (NDF) 是抑制振动的最有效的控制策略.
- 分析了稳定性和参数影响,特别是在关键的1:1内部共振时.
结论:
- 非扰动方法 (NPA) 为分析和模拟非线性系统提供了一种可靠的方法.
- 负衍生反 (NDF) 是一个非常有效的控制器,可以减轻有害的振动.
- 该研究为理解和控制在存在非线性和共振时的结构动态提供了强大的框架.
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