列纳德-斯超弹性振荡器:观察奇怪的吸引力,费根姆级和混乱
1Department of Structural and Theoretical Mechanics, Moscow State University of Civil Engineering, Moscow, Russia.
Chaos (Woodbury, N.Y.)
|January 30, 2026
概括
聚合物中的伦纳德-斯潜能会引起复杂的振动,包括混乱动力学和费根姆级联. 这项研究揭示了与振动吸收器相关的聚合物力学中的丰富振荡行为.
科学领域:
- 聚合物力学 聚合物力学
- 非线性动力学是一种非线性动力学.
- 材料科学 材料科学 材料科学
背景情况:
- 伦纳德-斯 (LJ) 潜力通常用于模拟交叉链聚合物的相互作用.
- 了解这些材料的振动行为对于地震和振动吸收器等应用至关重要.
研究的目的:
- 为了研究由聚合物力学中的莱纳德-斯潜力产生的复杂的振荡现象.
- 分析基于LJ的振荡器中非线性动态的出现,包括混乱.
主要方法:
- 解决一个由三个相结合的第一阶普通微分方程组成的系统.
- 使用Adams-Bashforth-Moulton数值解析器,适用于刚性动态系统.
主要成果:
- 通过各种驱动力振幅观察到亚和弦和超和弦振荡.
- 在频谱的超元件中确定了指数式衰减的振幅.
- 演示了多周期,准周期和混乱的制度,以及费根布和奇怪的吸引力.
结论:
- 列纳德-斯潜力在聚合物模型中表现出丰富的非线性动力学.
- 这些发现提供了对由LJ模拟材料制成的地震和振动吸收器的振动性能的见解.
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