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空间时间调制材料的离散模型中的参数不稳定性
Jiuda Wu1, Behrooz Yousefzadeh1
1Concordia University, Department of Mechanical, Industrial and Aerospace Engineering, 1455 De Maisonneuve Boulevard West, Montreal, Quebec, H3G 1M8, Canada.
Physical review. E
|November 18, 2025
概括
参数不稳定性可以破坏时空调制材料,即使在低振幅. 这项研究使用Floquet理论来分析不稳定性,揭示空间调制.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 非线性动力学是一种非线性动力学.
背景情况:
- 时空调节材料提供独特的非互惠传输.
- 参数不稳定性可能会限制这些设备的操作幅度.
- 了解不稳定性对于可靠的设备性能至关重要.
研究的目的:
- 为了研究离散的时空调节材料中的参数不稳定性.
- 探索调制参数和系统设计对稳定性的影响.
- 识别导致指数级反应增长的条件.
主要方法:
- 利用Floquet理论对参数不稳定性的详细计算分析.
- 采用扰动方法来导出不稳定频率的分析表达式.
- 系统地改变调制频率,振幅,波数,单元数和阻尼.
主要成果:
- 确定参数不稳定性是限制设备操作的重要因素.
- 证明了空间调制在诱导参数不稳定性方面的关键作用.
- 基于调制参数的不稳定性开始的衍生分析条件.
结论:
- 空间调制在参数不稳定性中起着关键的,经常被忽视的作用.
- 研究结果提供了对调制材料稳定性控制的见解.
- 允许在更高的振幅上探索空间时间调制材料的新应用.
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