Vibrational resonance in nonlinear vibration isolation systems

Journal article


Roy-Layinde, T. O., Omoteso, K. A., Laoye, J. A. and Diala, U. 2025. Vibrational resonance in nonlinear vibration isolation systems. Mechanics Research Communications. 148, pp. 1-19. https://doi.org/10.1016/j.mechrescom.2025.104470
AuthorsRoy-Layinde, T. O., Omoteso, K. A., Laoye, J. A. and Diala, U.
Abstract

In this study, we investigate vibrational resonance (VR) in a Duffing-type vibration isolation system using analytical and numerical approaches. Our results demonstrate that the response amplitude at low-frequency (LF) excitation can be enhanced by modulating system parameters, particularly dual-frequency excitation and nonlinear stiffness. The analytical and numerical results show strong agreement, validating the approaches. Additionally, we analyze the influence of system parameters on different resonance states. Notably, we demonstrate that the high-frequency (HF) input parameters, in conjunction with the nonlinear damping and stiffness coefficients, effectively suppress the system’s resonance dynamics. These findings highlight the potential of parameter modulation to suppress vibrations and tune resonance in a Vibration Isolation System (VIS), enabling applications in mechanical systems, signal processing, and energy harvesting systems.

KeywordsVibrational resonance ; Vibration isolation systems; Nonlinear dynamics; High-frequency excitation; Duffing oscillator
Year2025
JournalMechanics Research Communications
Journal citation148, pp. 1-19
PublisherElseveir
ISSN1873-3972
Digital Object Identifier (DOI)https://doi.org/10.1016/j.mechrescom.2025.104470
Web address (URL)https://doi.org/10.1016/j.mechrescom.2025.104470
Accepted author manuscript
File Access Level
Restricted
Publisher's version
License
File Access Level
Open
Output statusPublished
Publication dates
Online29 Jun 2025
Publication process dates
Accepted16 Jun 2025
Deposited01 Jul 2025
Supplemental file
License
File Access Level
Open
Permalink -

https://repository.derby.ac.uk/item/qyvv9/vibrational-resonance-in-nonlinear-vibration-isolation-systems

Download files


Publisher's version
  • 72
    total views
  • 36
    total downloads
  • 6
    views this month
  • 2
    downloads this month

Export as

Related outputs

A study of the response dynamics of a Helmholtz resonator and its application in acoustic energy harvesting
Omoteso, K., Marjani, R., Ozioko, O., Bagdasar, O., Roy-Layinde, T. O. and Diala, U. 2025. A study of the response dynamics of a Helmholtz resonator and its application in acoustic energy harvesting. Results in Engineering. 27, pp. 1-16. https://doi.org/10.1016/j.rineng.2025.106470
Parametric study of the energy dissipation by a suspension system
Diala, U. and Sani, G. 2025. Parametric study of the energy dissipation by a suspension system. in: Raja, G. L. (ed.) Dynamical Systems - Latest Developments and Applications IntechOpen
Parametric study of the energy dissipation by a suspension system
Diala, U. and Sani, G. 2025. Parametric study of the energy dissipation by a suspension system. in: Shamsuzzoha, M. and Raja, G. (ed.) Dynamical Systems - Latest Developments and Applications IntechOpen.
Performance boost of an electromagnetic energy harvester using vibrational resonance
Diala, U., Omoteso, K. and Roy-Layinde, T. O. 2024. Performance boost of an electromagnetic energy harvester using vibrational resonance. International Journal of Non-Linear Mechanics. 170, pp. 1-13. https://doi.org/10.1016/j.ijnonlinmec.2024.104989
Numerical analyses of acoustic vibrational resonance in a Helmholtz resonator
Omoteso, K., Bagdasar, O., Roy-Layinde, T. O. and Diala, U. 2024. Numerical analyses of acoustic vibrational resonance in a Helmholtz resonator. Nonlinear Dynamics . pp. 1-21. https://doi.org/10.1007/s11071-024-10534-w
Capacitive Sensors based on Recycled Carbon Fibre (rCF) Composites
Ozioko, O., Odiyi, D., Diala, U., Akinbami, F., Emu, M. and Shafik, M. 2024. Capacitive Sensors based on Recycled Carbon Fibre (rCF) Composites. Sensors. 24 (14), p. 4731. https://doi.org/10.3390/s24144731
Integration of very Small Modular Reactors and Renewable Energy Resources in Microgrid
Raza, M. K., Alghassab, M., Khan, Z. A., Kazmi, S. A. A., Ali, M. and Diala, U. 2024. Integration of very Small Modular Reactors and Renewable Energy Resources in Microgrid. Frontiers in Energy Research. 12, pp. 1-20. https://doi.org/10.3389/fenrg.2024.1365735
Investigative Study of the Effect of Damping and Stiffness Nonlinearities on an Electromagnetic Energy Harvester at Low-Frequency Excitations
Uchenna Diala, Yunpeng Zhu and Rajintha Gunawardena 2024. Investigative Study of the Effect of Damping and Stiffness Nonlinearities on an Electromagnetic Energy Harvester at Low-Frequency Excitations. Machines. 12 (1), pp. 1-21. https://doi.org/10.3390/machines12010030
Analysis of vibrational resonance in an oscillator with exponential mass variation
T.O. Roy-Layinde, K.A. Omoteso, U.H. Diala, J.A. Runsewe, J.A. Laoye and Diala, U. 2023. Analysis of vibrational resonance in an oscillator with exponential mass variation. Chaos, Solitons & Fractals. 178, pp. 1-10. https://doi.org/10.1016/j.chaos.2023.114310
Analysis of a non‑integer order mathematical model for double strains of dengue and COVID‑19 co‑circulation using an efficient finite‑difference method
Omame, E., Obiajulu, E. F., Inyama, S. C., Diala, U., AlQahtani, S. A., Al-Rakhami, M. S., Alawwad, A. M. and Alotaibi, A. A. 2023. Analysis of a non‑integer order mathematical model for double strains of dengue and COVID‑19 co‑circulation using an efficient finite‑difference method. Scientific Reports. 13, pp. 1-31. https://doi.org/10.1038/s41598-023-44825-w
The Optimal Strategies to Be Adopted in Controlling the Co-Circulation of COVID-19, Dengue and HIV: Insight from a Mathematical Model
Omame, A., Raezah, A. A., Diala, U. and Onuoha, C. 2023. The Optimal Strategies to Be Adopted in Controlling the Co-Circulation of COVID-19, Dengue and HIV: Insight from a Mathematical Model. Axioms. 12 (8), pp. 1-30. https://doi.org/10.3390/axioms12080773
Data-Driven Based Modelling of Pressure Dynamics in Multiphase Reservoir Model
Ali, A., Diala, U. and Guo, L. 2022. Data-Driven Based Modelling of Pressure Dynamics in Multiphase Reservoir Model. 2022 UKACC 13th International Conference on Control (CONTROL). IEEE. https://doi.org/10.1109/Control55989.2022.9781447
Analysis of the energy dissipation characteristics of a nonlinear vehicle suspension system
Diala, U, Zhu, Y. and Lang, Z. Q. 2022. Analysis of the energy dissipation characteristics of a nonlinear vehicle suspension system. 2022 UKACC 13th International Conference on Control (CONTROL). IEEE Xplore. https://doi.org/10.1109/Control55989.2022.9781454
An Interference Management System for a Shared Spectrum Access Network
Atimati, E., Crawford, D., Stewart, R., Achumba, I., Ezema, L. and Diala, U. 2022. An Interference Management System for a Shared Spectrum Access Network. IEEE International Conference on Emerging & Sustainable Technologies for Power & ICT in a Developing Society (NIGERCON). IEEE Xplore. https://doi.org/10.1109/NIGERCON54645.2022.9803165
Digital Twinning remote laboratories for online practical learning, Production & Manufacturing Research
C. Palmer, B. Roullier, M. Aamir, F. McQuade, Leonardo Stella, A. Anjum, and U. Diala 2022. Digital Twinning remote laboratories for online practical learning, Production & Manufacturing Research. Production and Manufacturing Research. 10 (1), pp. 519-545. https://doi.org/10.1080/21693277.2022.2097140
Fiber to the home: considerations associated with a successful deployment
Ezeh, G. N. and Diala, Uchenna 2014. Fiber to the home: considerations associated with a successful deployment. International Journal of Emerging Technology and Advanced Engineering.
Effects of rain attenuation on satellite communication links
Ezeh, G. N., Chukwuneke, N.S., Ogujiofor, N.C. and Diala, Uchenna 2014. Effects of rain attenuation on satellite communication links. Advances in Science and Technology Research Journal. https://doi.org/10.12913/22998624.1105138
Comparative performance evaluation of multimedia traffic over multi-protocol label switching using virtual private network (vpn) internet cloud and traditional internet protocol networks
Ezeh, G.N., Onyeakusi, C.E, Adimonyemma, T.M and Diala, Uchenna 2014. Comparative performance evaluation of multimedia traffic over multi-protocol label switching using virtual private network (vpn) internet cloud and traditional internet protocol networks. International Journal of Emerging Technology and Research.
Design, construction and simulation of a circuit breaker-based feeder pillar with over current and earth-fault protection cum digitalized voltmeter
Azuatalam, D.T., Diala, Uchenna, Joe-Uzuegbu, C.K., Morah, F.C. and Ayalogu, E.I. 2014. Design, construction and simulation of a circuit breaker-based feeder pillar with over current and earth-fault protection cum digitalized voltmeter. International Journal of Engineering and Innovative Technology.
Performance evaluation of discrete event process algorithms for a two-tier high-performance cloud computing network architecture
Okafor, K.C., Ugwoke, F.N., Oparaku, O.U. and Diala, Uchenna 2015. Performance evaluation of discrete event process algorithms for a two-tier high-performance cloud computing network architecture. International Journal of Advanced Research in Electronics and Communication Engineering.
Nonlinear design and optimisation of a vibration energy harvester
Diala, Uchenna, Gunawardena, Rajintha, Zhu, Yunpeng and Lang, Zi-Qiang 2018. Nonlinear design and optimisation of a vibration energy harvester. IEEE. https://doi.org/10.1109/control.2018.8516821
Analysis, design and optimization of a nonlinear energy harvester
Diala, Uchenna, Lang, Zi-Qiang and Pope, Simon 2017. Analysis, design and optimization of a nonlinear energy harvester. International Institute of Acoustics & Vibration/ Curran Associates Ltd.
Analysis and design of a nonlinear vibration-based energy harvester - a frequency based approach
Uchenna, Diala, Simon, Pope and Lang, Zi-Qiang 2017. Analysis and design of a nonlinear vibration-based energy harvester - a frequency based approach. IEEE. https://doi.org/10.1109/aim.2017.8014239
Nonlinear damper design for a vibration isolation system
Diala, Uchenna, Okafor, K.C. and Udeze, C.C. 2018. Nonlinear damper design for a vibration isolation system. International Journal of Mechatronics, Electrical and Computer Technology.
Geometric nonlinear damper design — A frequency based approach
Uchenna, Diala, Okafor, K.C. and Zi-Qiang, Lang 2018. Geometric nonlinear damper design — A frequency based approach. IEEE. https://doi.org/10.1109/nigercon.2017.8281918
Analysis and optimal design of a vibration isolation system combined with electromagnetic energy harvester
Diala, Uchenna, Mofidian, SM Mahdi, Lang, Zi-Qiang and Bardaweel, Hamzeh 2019. Analysis and optimal design of a vibration isolation system combined with electromagnetic energy harvester. Journal of Intelligent Material Systems and Structures. 30 (16), pp. 2382-2395. https://doi.org/10.1177/1045389x19862377