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

TL;DR

This paper reviews recent advances and challenges in energy transfer between vibrating modes under external forces with time-varying frequency, emphasizing non-ideal sources with limited power and inertia from 2020 to 2025.

Contribution

It provides a comprehensive overview of models, phenomena, and future research directions in energy transfer in non-ideal vibrating systems with time-varying excitation frequencies.

Findings

Observation of nonlinear phenomena like Sommerfeld effect and saturation.

Use of Jacobi-Anger expansion in modeling energy transfer.

Discussion of fractional damping and non-ideal source effects.

Abstract

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).