Nonlinear vibration with discontinuities in a fractal space: its variational formulation and periodic property
发布时间：2024-10-25
点击次数：
- 所属单位：
- 理学院
- 发表刊物：
- FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
- 关键字：
- Fractal Oscillator; Fractal Space; Variational Theory; Periodic Property
- 摘要：
- A vibration system with discontinuities has triggered off rocketing interest in various fields including mechanical engineering, physics, and mathematics because it has many striking and amazing properties which cannot be unexplained by traditional vibration theory. This paper studies the problem using the energy conservation frame in a fractal time. A variational formulation is developed, and its periodic property is elucidated by the frequency–amplitude formulation. For discontinuity, this paper aims to propose a new frequency formulation by means of the golden average. Comparison between the approximate and exact frequency values is presented to validate our method.
- 合写作者：
- ABDULRAHMAN ALI ALSOLAMI,田丹
- 第一作者：
- 沈玥
- 论文类型：
- 期刊论文
- 通讯作者：
- 何春辉
- 卷号：
- 31/07/9
- ISSN号：
- 0218-348X
- 是否译文：
- 否
- 发表时间：
- 2023-08-01