Establishment of theoretical models for beam structures with particle impact damper

Authors

  • Ajay D. Pingale Department of Mechanical Engineering, JSPM's Bhivarabai Sawant Institute of Technology and Research, 412207, Pune, India. Phone: +919970598292 https://orcid.org/0000-0002-7576-3120
  • Pravin S. Kachare Department of Mechanical Engineering, JSPM's Bhivarabai Sawant Institute of Technology and Research, 412207, Pune, India. Phone: +919970598292

DOI:

https://doi.org/10.15282/jmes.17.2.2023.5.0749

Keywords:

Damper, Friction, Impact, Motion, Particle, Vibrations

Abstract

Over the past few decades, research on impact dampers has grown significantly, leading to numerous analytical and experimental investigations in that field. Vibrations can harm industrial equipment and cause process errors. Particle impact damper has a significant impact on lowering vibration and has been broadly implemented in various engineering applications. This work deals with the theoretical modeling for cantilever beam and fixed-fixed beam attached with a cylindrical enclosure filled with particles. Transient and forced excitations are considered to trace the motion of the primary mass with respect to time. Also, theoretical modeling of particle arrangement in enclosure, condition for particles to detach from base or ceiling of enclosure, motion of particle after detachment from enclosure, and mechanism of collision and friction of particles are discussed and presented in detail. Theoretical models proposed in this study can be used to generate theoretical readings for practical engineering applications.

References

E. Dehghan-Niri, S. M. Zahrai, and A. F. Rod, “Numerical studies of the conventional impact damper with discrete frequency optimization and uncertainty considerations,” Scientia Iranica, vol. 19, no. 2, pp. 166–178, 2012.

B. Wang, H. He, S. Cheng, and Y. Chen, “Experimental and optimization analysis of a multiple unidirectional single-particle damper,” Journal of Sound and Vibration, vol. 553, p. 117664, 2023.

B. B. Prasad, F. Duvigneau, D. Juhre, and E. Woschke, “Damping performance of particle dampers with different granular materials and their mixtures,” Applied Acoustics, vol. 200, p. 109059, 2022.

J. Jin, W. Yang, H.-I. Koh, and J. Park, “Development of tuned particle impact damper for reduction of transient railway vibrations,” Applied Acoustics, vol. 169, p. 107487, 2020.

J. Jin, H. Kim, H.-I. Koh, and J. Park, “Railway noise reduction by periodictuned particle impact damper with bounce andpitch-coupled vibration modes,” Composite Structures, vol. 284, p. 115230, 2022.

M. Gharib, “Experimental dataset for measurements of freely vibrating structures equipped with impact dampers,” Data in Brief, vol. 36, p. 107003, 2021.

Y. Du and S. Wang, “Modeling the fine particle impact damper,” International Journal of Mechanical Sciences, vol. 52, no. 7, pp. 1015–1022, 2010.

M. Gharib, M. Karkoub, and M. Ghamary, “Numerical investigation of linear particle chain impact dampers with friction,” Case Studies in Mechanical Systems and Signal Processing, vol. 3, pp. 34–40, 2016.

Z. Lu, Z. Wang, S. F. Masri, and X. Lu, “Particle impact dampers: Past, present, and future,” Structural Control and Health Monitoring, vol.25, no. 1, p. e2058, 2018.

A. Papalou and E. Strepelias, “Effectiveness of particle dampers in reducing monuments’ response under dynamic loads,” Mechanics of Advanced Materials and Structures, vol. 23, no. 2, pp. 128–135, 2016.

A. Afsharfard and F. Kolahan, “Reliability-based design for damping behavior of inner mass single-unit impact dampers,” Quality and Reliability Engineering International, vol. 29, no. 4, pp. 521–527, 2013.

J. Park, S. Wang, and M. J. Crocker, “Mass loaded resonance of a single unit impact damper caused by impacts and the resulting kinetic energy influx,” Journal of Sound and Vibration, vol. 323, no. 3–5, pp. 877–895, 2009.

. X. Wong, M. C. Daniel, and J. A. Rongong, “Energy dissipation prediction of particle dampers,” Journal of Sound and Vibration, vol. 319, no. 1–2, pp. 91–118, 2009.

X. Ye, Y.-Q. Ni, M. Sajjadi, Y.-W. Wang, and C.-S. Lin, “Physics-guided, data-refined modeling of granular material-filled particle dampers by deep transfer learning,” Mechanical Systems and Signal Processing, vol. 180, p. 109437, 2022.

G. Lawrance, P. Sam Paul, D. Joshwa, S. Sharvilin, K. Sudarsan, and R. Arun, “Effect of particle damper technique on tribological properties during hard turning process,” Materials Today: Proceedings, vol. 49, pp. 1281–1285, 2022.

Q. Wang and D. Dan, “A simplified modeling method for multi-particle damper: Validation and application in energy dissipation analysis,” Journal of Sound and Vibration, vol. 517, p. 116528, 2022.

B. Wang, H. He, Y. Chen, and S. Cheng, “Experimental and performance analysis of the combined damping system with a TMD and a multiple unidirectional single-particle damper,” Journal of Sound and Vibration, vol. 540, p. 117301, 2022.

Y. Harduf, E. Setter, M. Feldman, and I. Bucher, “Modeling additively-manufactured particle dampers as a 2DOF frictional system,” Mechanical Systems and Signal Processing, vol. 187, p. 109928, 2023.

M. Saeki, “Impact damping with granular materials in a horizontally vibrating system,” Journal of Sound and Vibration, vol. 251, no. 1, pp. 153–161, 2002.

K. Li and A. P. Darby, “Experiments on the Effect of an impact damper on a multiple-degree-of-freedom system,” Journal of Vibration and Control,vol. 12, no. 5, pp. 445–464, 2006.

S. Ekwaro-Osire and I. C. Desen, “Experimental study on an impact vibration absorber,” Journal of Vibration and Control, vol. 7, no. 4, pp. 475–493, 2001.

K. Li and A. P. Darby, “A buffered impact damper for multi-degree-of-freedom structural control,” Earthquake Engineering & Structural Dynamics, vol. 37, no. 13, pp. 1491–1510, 2008.

Z. Lu, X. Liu, N. Ma, and M. Zhou, “Multi-objective optimization and seismic performance verification of multiple tuned impact dampers for nonlinear benchmark building,” Structures, vol. 41, pp. 1672–1686, 2022.

M. Roozbahan and G. Turan, “An improved passive tuned mass damper assisted by dual stiffness,” Structures, vol. 50, pp. 1598–1607, 2023.

N. Meyer, C. Schwartz, M. Morlock, and R. Seifried, “Systematic design of particle dampers for horizontal vibrations with application to a lightweight manipulator,” Journal of Sound and Vibration, vol. 510, p. 116319, 2021.

Z. Lu, J. Zhang, and D. Wang, “Energy analysis of particle tuned mass damper systems with applications to MDOF structures under wind-induced excitation,” Journal of Wind Engineering and Industrial Aerodynamics, vol. 218, p. 104766, 2021.

Z. Zhang, Z. Zhang, and X. Jin, “Investigation on band gap mechanism and vibration attenuation characteristics of cantilever-beam-type power-exponent prismatic phononic crystal plates,” Applied Acoustics, vol. 206, p. 109314, 2023.

R. A. Mara’Beh, A. Y. Al-Dweik, B. S. Yilbas, and M. Sunar, “Closed form solution of nonlinear oscillation of a cantilever beam using λ-symmetry linearization criteria,” Heliyon, vol. 8, no. 11, p. e11673, 2022.

F. Gao, W.-H. Liao, and X. Wu, “Being gradually softened approach for solving large deflection of cantilever beam subjected to distributed and tip loads,” Mechanism and Machine Theory, vol. 174, p. 104879, 2022.

R. D. Friend and V. K. Kinra, “Measurement and analysis of particle impact damping,” In Smart Structures and Materials 1999: Passive Damping and Isolation, 1999, vol. 3672, pp. 20–31.

R. D. Friend and V. K. Kinra, “Particle impact damping,” Journal of Sound and Vibration, vol. 233, no. 1, pp. 93–118, 2000.

[X. Huang, W. Xu, W. Yan, and J. Wang, “Equivalent model and parameter analysis of non-packed particle damper,” Journal of Sound and Vibration, vol. 491, p. 115775, 2021.

T. Ehlers, S. Tatzko, J. Wallaschek, andR. Lachmayer, “Design of particle dampers for additive manufacturing,” Additive Manufacturing, vol. 38, p. 101752, 2021.

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Published

2023-06-28

How to Cite

[1]
A. D. Pingale and P. S. Kachare, “Establishment of theoretical models for beam structures with particle impact damper”, J. Mech. Eng. Sci., pp. 9463–9473, Jun. 2023.

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