Influence of stiffness parameters on vibro-impact damper dynamics

Authors

DOI:

https://doi.org/10.32347/2410-2547.2023.110.21-35

Keywords:

vibro-impact, primary structure, damper, nonlinear energy sink, stiffness, elasticity

Abstract

The article studies the dynamic behavior of a low-mass vibro-impact damper, considered as a device for passive vibration control. Its design scheme corresponds to the scheme of single-sided vibro-impact nonlinear energy sink (SSVI NES), which is supposed to be used for effective vibrations attenuation under different transient loads, namely, impulsive, broadband, wind. Its dynamics and effectiveness strongly depend both on the damper own parameters and the external load parameters. We consider the response regimes and the damper efficiency for two options of its optimized parameters under periodic loading. The influence of the elasticity characteristics of the colliding surfaces on the damper effectiveness is also analyzed. We show that the modes with rich complex dynamics are implemented in a system with a heavier damper with low stiffness. Despite this, it is more effective, especially with a softer impact.

Author Biographies

Petro Lizunov, Kyiv National University of Construction and Architecture

Doctor of Technical Sciences, Professor, Head of the Department of Construction Mechanics

Olha Pogorelova, Kyiv National University of Construction and Architecture

candidate of physical and mathematical sciences, senior researcher, leading researcher of the Research Institute of Construction Mechanics

Tetyana Postnikova, Kyiv National University of Construction and Architecture

candidate of technical sciences, senior researcher, senior researcher of the Research Institute of Construction Mechanics

References

Ding, H., & Chen, L.-Q. (2020). Designs, analysis, and applications of nonlinear energy sinks. Nonlinear Dynamics, 100(4), 3061–3107. https://doi.org/10.1007/s11071-020-05724-1

Gendelman, O. V. (2012). Analytic treatment of a system with a vibro-impact nonlinear energy sink. Journal of Sound and Vibration, 331(21), 4599–4608. https://doi.org/10.1016/j.jsv.2012.05.021

Vakakis, A. F. (2018). Passive nonlinear targeted energy transfer. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376(2127), 20170132. https://doi.org/10.1098/rsta.2017.0132

Lu, Z., Wang, Z., Masri, S. F., & Lu, X. (2017). Particle impact dampers: Past, present, and future. Structural Control and Health Monitoring, 25(1), e2058. Portico. https://doi.org/10.1002/stc.2058

Ibrahim, R. A. (2008). Recent advances in nonlinear passive vibration isolators. Journal of Sound and Vibration, 314(3–5), 371–452. https://doi.org/10.1016/j.jsv.2008.01.014

Saeed, A. S., Abdul Nasar, R., & AL-Shudeifat, M. A. (2022). A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types. Nonlinear Dynamics, 111(1), 1–37. https://doi.org/10.1007/s11071-022-08094-y

Lee, Y. S., Vakakis, A. F., Bergman, L. A., McFarland, D. M., Kerschen, G., Nucera, F., Tsakirtzis, S., & Panagopoulos, P. N. (2008). Passive non-linear targeted energy transfer and its applications to vibration absorption: A review. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of MultiBody Dynamics, 222(2), 77–134. https://doi.org/10.1243/14644193jmbd118

Wang, J., Wierschem, N. E., Spencer, B. F., & Lu, X. (2015). Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures. Journal of Engineering Mechanics, 141(1). https://doi.org/10.1061/(asce)em.1943-7889.0000824

Wierschem, N. E. (2014). Targeted energy transfer using nonlinear energy sinks for the attenuation of transient loads on building structures. University of Illinois at Urbana-Champaign.

Tao Li (2016). Study of nonlinear targeted energy transfer by vibro-impact. Doctorat de l’universite de Toulouse

Youssef, B., &Leine, R. I. (2021). A complete set of design rules for a vibro-impact NES based on a multiple scales approximation of a nonlinear mode. Journal of Sound and Vibration, 501, 116043. https://doi.org/10.1016/j.jsv.2021.116043

Bergeot, B., Bellizzi, S., & Berger, S. (2021). Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 95, 105623. https://doi.org/10.1016/j.cnsns.2020.105623

Saeed, A. S., AL-Shudeifat, M. A., Cantwell, W. J.,&Vakakis, A. F. (2021). Two-dimensional nonlinear energy sink for effective passive seismic mitigation. Communications in Nonlinear Science and Numerical Simulation, 99, 105787. https://doi.org/10.1016/j.cnsns.2021.105787

Luo, J., Wierschem, N. E., Hubbard, S. A., Fahnestock, L. A., Dane Quinn, D., Michael McFarland, D., Spencer, B. F., Vakakis, A. F., & Bergman, L. A. (2014). Large-scale experimental evaluation and numerical simulation of a system of nonlinear energy sinks for seismic mitigation. Engineering Structures, 77, 34–48. https://doi.org/10.1016/j.engstruct.2014.07.020

Li, W., Wierschem, N. E., Li, X., Yang, T., & Brennan, M. J. (2020). Numerical study of a symmetric single-sided vibro-impact nonlinear energy sink for rapid response reduction of a cantilever beam. Nonlinear Dynamics, 100(2), 951–971. https://doi.org/10.1007/s11071-020-05571-0

AL-Shudeifat, M. A., & Saeed, A. S. (2020). Comparison of a modified vibro-impact nonlinear energy sink with other kinds of NESs. Meccanica, 56(4), 735–752. https://doi.org/10.1007/s11012-020-01193-3

Farid, M. (2023). Dynamics of a hybrid cubic vibro-impact oscillator and nonlinear energy sink. Communications in Nonlinear Science and Numerical Simulation, 117, 106978. https://doi.org/10.1016/j.cnsns.2022.106978

Lo Feudo, S., Job, S., Cavallo, M., Fraddosio, A., Piccioni, M. D., &Tafuni, A. (2022). Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events. Engineering Structures, 259, 114137. https://doi.org/10.1016/j.engstruct.2022.114137

Lizunov, P., Pogorelova, O., & Postnikova, T. (2022). Choice of the Model for Vibro-impact Nonlinear Energy Sink. Strength of Materials and Theory of Structures, 108, 63–76. https://doi.org/10.32347/2410- 2547.2022.108.63-76

Lizunov, P., Pogorelova, O., & Postnikova, T. (2022). Dynamics of primary structure coupled with singlesided vibro-impact nonlinear energy sink. Strength of Materials and Theory of Structures, 109, 103–113. https://doi.org/10.32347/2410-2547.2022.109.20-29

Lizunov, P., Pogorelova, O., & Postnikova, T. (2023). Vibro-impact damper dynamics depending on system parameters. Journal of Vibration Engineering & Technologies. Current Status: Under Review. Preprint Research Square DOI: 10.21203/rs.3.rs-2786639/v1

Bazhenov, V., Pogorelova, O., & Postnikova, T. (2021). Crisis-Induced Intermittency and Other Nonlinear Dynamics Phenomena in Vibro-impact System with Soft Impact. Nonlinear Mechanics of Complex Structures, 185–203. https://doi.org/10.1007/978-3-030-75890-5 11

Johnson, K. L. (1985). Contact Mechanics. https://doi.org/10.1017/cbo9781139171731

Lamarque C. H., JaninO.(2000). Modal analysis of mechanical systems with impact non-linearities: limitations to a modal superposition. Journal of sound and vibration. 235(4), 567-609.https://doi.org/10.1006/jsvi.1999.2932

Downloads

Published

2023-06-26

Issue

No. 110 (2023)

Section

Статті

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.