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
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arXiv
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| Format: | Preprint |
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2025
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| author | Balthazar, Jose Manoel Felix, Jorge Luis Palacios Ribeiro, Mauricio A. Tusset, Angelo Marcelo de Lima, Jeferson Jose Piccirillo, Vinicius Simonovic, Julijana Nevsic, Nikola D. Varanis, Marcos de Oliveira, Clivaldo Machado, Raphaela C. Oliveira, Gabriella O M |
| author_facet | Balthazar, Jose Manoel Felix, Jorge Luis Palacios Ribeiro, Mauricio A. Tusset, Angelo Marcelo de Lima, Jeferson Jose Piccirillo, Vinicius Simonovic, Julijana Nevsic, Nikola D. Varanis, Marcos de Oliveira, Clivaldo Machado, Raphaela C. Oliveira, Gabriella O M |
| contents | 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). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_01469 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | 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 Balthazar, Jose Manoel Felix, Jorge Luis Palacios Ribeiro, Mauricio A. Tusset, Angelo Marcelo de Lima, Jeferson Jose Piccirillo, Vinicius Simonovic, Julijana Nevsic, Nikola D. Varanis, Marcos de Oliveira, Clivaldo Machado, Raphaela C. Oliveira, Gabriella O M Chaotic Dynamics Systems and Control 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). |
| title | 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 |
| topic | Chaotic Dynamics Systems and Control |
| url | https://arxiv.org/abs/2506.01469 |