标题： 关于 2020 年至 2025 年外部机械力作用下具有时变频率的振动模式间能量转移的最新进展与 emerging 挑战的技术综述 显示英文标题

标题： A State of the Art on Recent Progress and Emerging Challenges on Energy Transfer Between Vibrating Modes Under an External Mechanical Force With Time-Varying Frequency From 2020 to 2025

摘要： 本文讨论了工程领域中一个具有未来视角的当前重要实例，在该实例中，激励源始终具有有限功率和有限惯性，并且其频率随振动系统的瞬时状态变化。考虑了非理想系统的实际例子。讨论了此类系统最常见的现象。所考虑的时间范围是从2020年到2025年。还讨论了各种模型的具体特性。提供了未来研究的方向。本文作者基于假设外部激励由非理想源（RNIS）产生的前提下，重新审视了一些出版物，即这些源具有有限的功率供应。在这些应用中，观察到了诸如索默菲尔德效应和饱和现象等非线性现象，并考虑了分数阻尼。能量收集器和雅可比-安格尔展开式被用于运动方程的控制方程中。我们还在外部激励具有时变频率的情况下，研究了振动模态之间的能量传递问题，这代表了非理想振动系统（RNIS）研究的一个未来方向。 显示英文摘要

摘要： In this paper, we discuss an example of current importance with a future perspective in engineering, in which excitation sources always have limited power, limited inertia, and their frequencies vary according to the instantaneous state of the vibrating system. Practical examples of non-ideal systems are considered. The most common phenomenon for this kind of system is discussed. The period considered is from 2020 to 2025. The specific properties of various models are also discussed. Directions for future investigations are provided. In this paper, the authors revisited some publications based on the assumption that the external excitations are produced by non-ideal sources (RNIS), that is, with limited power supply. Among these applications, nonlinear phenomena such as the Sommerfeld effect and saturation phenomenon were observed, considering fractional damping. Energy harvesters and the Jacobi-Anger expansion were used in the governing equations of motion. We also used the Jacobi-Anger expansion in the case of energy transfer between vibrating modes under an external force with time-varying frequency, which represents one of the future directions of research on non-ideal vibrating systems (RNIS).