Abstract
An additively manufactured particle damper (AMPD) is a novel particle damper fabricated by deliberately leaving unfused powder inside the structure during the laser powder bed fusion (LPBF) process. It retains the advantages of a conventional particle damper, while yielding unique merits. However, the damping mechanism and performance of AMPD are still unclear owing to insufficient experimental and simulation analyses. This work focused on experimentally and numerically exploring the damping capacity of AMPDs at three different frequencies (200, 350, and 500 Hz) and an acceleration range of 150–300 m/s2. Two AMPDs with different numbers of unit-cells (64 and 27) were manufactured using LPBF with 316 L stainless steel. The complex power method is used to measure the energy dissipation of the AMPD in a straightforward manner. A numerical method based on the discrete element model of a previous study was proposed to predict energy dissipation in the simulation model. The developed numerical method was validated by comparing it with experimental data which showed good agreement. The influence of excitation frequency, excitation amplitude, and cavity size on the damping mechanism and performance of the AMPD was investigated using experimental and simulation methods. The results showed that the AMPDs had the highest damping performance at an excitation frequency of 500 Hz, and the motion mode of the internal particles was affected by the excitation intensity and cavity size, which play an essential role in the damping performance of AMPDs.
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References
Panossian HV (1992) Structural damping enhancement via non-obstructive particle damping technique. J Vib Acoust 114:101–105. https://doi.org/10.1115/1.2930221
Gagnon L, Morandini M, Ghiringhelli GL (2019) A review of particle damping modeling and testing. J Sound Vib 459:114865. https://doi.org/10.1016/j.jsv.2019.114865
Lu Z, Wang Z, Masri SF, Lu X (2018) Particle impact dampers: Past, present, and future. Struct Control Heal Monit 25:1–25. https://doi.org/10.1002/stc.2058
Hu L, Shi Y, Yang Q, Song G (2016) Sound reduction at a target point inside an enclosed cavity using particle dampers. J Sound Vib 384:45–55. https://doi.org/10.1016/j.jsv.2016.08.016
Koch S, Duvigneau F, Orszulik R, Gabbert U, Woschke E (2017) Partial filling of a honeycomb structure by granular materials for vibration and noise reduction. J Sound Vib 393:30–40. https://doi.org/10.1016/j.jsv.2016.11.024
Liu B, Wang YR, Feng HH (2014) A design method of position schemes for particle dampers applied to a flywheel. Appl Mech Mater 482:163–168. https://doi.org/10.4028/www.scientific.net/AMM.482.163
Wang X, Liu X, Shan Y, He T (2015) Design, simulation and experiment of particle dampers attached to a precision instrument in spacecraft. J Vibroengineering 17:1605–1614
Xiao W, Huang Y, Jiang H, Jin L (2016) Effect of powder material on vibration reduction of gear system in centrifugal field. Powder Technol 294:146–158. https://doi.org/10.1016/j.powtec.2016.01.038
Xiao W, Xu Z, Bian H, Li Z (2021) Lightweight heavy-duty CNC horizontal lathe based on particle damping materials. Mech Syst Signal Process 147:107127. https://doi.org/10.1016/j.ymssp.2020.107127
Vajna S (2020) Integrated design engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-19357-7
Scott-Emuakpor O, George T, Runyon B, Holycross C, Langley B, Sheridan L, O’Hara R, Johnson P, Beck J (2018) Investigating damping performance of laser powder bed fused components with unique internal structures. Proc ASME Turbo Expo 7C:1–10. https://doi.org/10.1115/GT2018-75977
Scott-Emuakpor O, George T, Runyon B, Sheridan L, Holycross C, O’Hara R (2019) Assessing manufacturing repeatability of inherently damped nickel alloy components via forced-response testing. Proc ASME Turbo Expo 6:1–9. https://doi.org/10.1115/GT2019-90945
Scott-Emuakpor O, George T, Runyon B, Beck J, Sheridan L, Holycross C, O’hara R (2019) Inherent damping sustainability study on additively manufactured nickel-based alloys for critical part. AIAA Scitech Forum. https://doi.org/10.2514/6.2019-0410
Scott-Emuakpor O, Beck J, Runyon B, George T (2020) Validating a multifactor model for damping performance of additively manufactured components. AIAA J. https://doi.org/10.2514/1.J059608
Scott-Emuakpor O, George T, Runyon B, Holycross C, Sheridan L, O’Hara R (2020) Assessing additive manufacturing repeatability of inherently damped nickel alloy components. J Eng Gas Turbines Power 142:1–8. https://doi.org/10.1115/1.4044314
Scott-Emuakpor O, Beck J, Runyon B, George T (2021) Determining unfused powder threshold for optimal inherent damping with additive manufacturing. Addit Manuf 38:101739. https://doi.org/10.1016/j.addma.2020.101739
Scott-Emuakpor O, Schoening A, Goldin A, Beck J, Runyon B, George T (2021) Internal geometry effects on inherent damping performance of additively manufactured components. AIAA J 59:379–385. https://doi.org/10.2514/1.j059709
Ehlers T, Tatzko S, Wallaschek J, Lachmayer R (2021) Design of particle dampers for additive manufacturing. Addit Manuf. https://doi.org/10.1016/j.addma.2020.101752
Ehlers T, Lachmayer R (2022) Design of particle dampers for laser powder bed fusion. Appl Sci 12:2237. https://doi.org/10.3390/app12042237
Schmitz T, Betters E, West J (2020) Increased damping through captured powder in additive manufacturing. Manuf Lett 25:1–5. https://doi.org/10.1016/j.mfglet.2020.05.003
Schmitz T, Gomez M, Ray B, Heikkenen E, Sisco K, Haines M, Osborne JS (2020) Damping and mode shape modification for additively manufactured walls with captured powder. Precis Eng 66:110–124. https://doi.org/10.1016/j.precisioneng.2020.07.002
Guo H, Ichikawa K, Sakai H, Zhang H, Zhang X, Tsuruta K, Makihara K, Takezawa A (2022) Numerical and experimental analysis of additively manufactured particle dampers at low frequencies. Powder Technol 396:696–709. https://doi.org/10.1016/j.powtec.2021.11.029
Yang MY (2003) Development of master design curves for particle impact dampers, doctoral thesis. The Pennsylvania State University, Pennsylvania
Wong CX, Daniel MC, Rongong JA (2009) Energy dissipation prediction of particle dampers. J Sound Vib 319:91–118. https://doi.org/10.1016/j.jsv.2008.06.027
Duan Y, Chen Q (2011) Simulation and experimental investigation on dissipative properties of particle dampers. JVC J Vib Control 17:777–788. https://doi.org/10.1177/1077546309356183
Masmoudi M, Job S, Abbes MS, Tawfiq I, Haddar M (2016) Experimental and numerical investigations of dissipation mechanisms in particle dampers. Granul Matter 18:1–11. https://doi.org/10.1007/s10035-016-0667-4
Ben Romdhane M, Bouhaddi N, Trigui M, Foltête E, Haddar M (2013) The loss factor experimental characterisation of the non-obstructive particles damping approach. Mech Syst Signal Process 38:585–600. https://doi.org/10.1016/j.ymssp.2013.02.006
Trigui M, Foltete E, Bouhaddi N (2014) Prediction of the dynamic response of a plate treated by particle impact damper. Proc Inst Mech Eng Part C J Mech Eng Sci 228:799–814. https://doi.org/10.1177/0954406213491907
Ye X, Ni Y, Sajjadi M, Wang Y, Lin C (2022) Physics-guided, data-refined modeling of granular material-filled particle dampers by deep transfer learning. Mech Syst Signal Process 180:109437. https://doi.org/10.1016/j.ymssp.2022.109437
Meyer N, Seifried R (2021) Damping prediction of particle dampers for structures under forced vibration using effective fields. Granul Matter. https://doi.org/10.1007/s10035-021-01128-z
Meyer N, Schwartz C, Morlock M, Seifried R (2021) Systematic design of particle dampers for horizontal vibrations with application to a lightweight manipulator. J Sound Vib 510:116319. https://doi.org/10.1016/j.jsv.2021.116319
Meyer N, Seifried R (2021) Toward a design methodology for particle dampers by analyzing their energy dissipation. Comput Part Mech 8:681–699. https://doi.org/10.1007/s40571-020-00363-0
Meyer N, Seifried R (2022) Energy dissipation in horizontally driven particle dampers of low acceleration intensities. Nonlinear Dyn. https://doi.org/10.1007/s11071-022-07348-z
Mao K, Wang MY, Xu Z, Chen T (2004) DEM simulation of particle damping. Powder Technol 142:154–165. https://doi.org/10.1016/j.powtec.2004.04.031
Saeki M (2005) Analytical study of multi-particle damping. J Sound Vib 281:1133–1144. https://doi.org/10.1016/j.jsv.2004.02.034
Cundall PA, Strack ODL (1979) The development of constitutive laws for soil using the distinct element method. Numer Method Geomech 1:289–317
Plimpton S (1995) Fast parallel algorithms for short-range molecular dynamics. J Comput Phys 117:1–19. https://doi.org/10.1006/jcph.1995.1039
Zhang K, Chen T, Wang X, Fang J (2016) Rheology behavior and optimal damping effect of granular particles in a non-obstructive particle damper. J Sound Vib 364:30–43. https://doi.org/10.1016/j.jsv.2015.11.006
Zhang K, Chen T, Wang X, Fang J (2016) Motion mode of the optimal damping particle in particle dampers. J Mech Sci Technol 30:1527–1531. https://doi.org/10.1007/s12206-016-0305-4
Zhang K, Chen T, He L (2017) Damping behaviors of granular particles in a vertically vibrated closed container. Powder Technol 321:173–179. https://doi.org/10.1016/j.powtec.2017.08.020
Johnson KL, Kenneth LJ (1987) Contact mechanics. Cambridge University Press, Cambridge
Mindlin RD (1953) Elastic spheres in contact under varying oblique forces. J Appl Mech 20:327–344
Tsuji Y, Tanaka T, Ishida T (1992) Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technol 71:239–250. https://doi.org/10.1016/0032-5910(92)88030-L
Stukowski A (2010) Visualization and analysis of atomistic simulation data with OVITO-the open visualization tool. Model Simul Mater Sci Eng. https://doi.org/10.1088/0965-0393/18/1/015012
Zhang K, Zhong H, Chen T, Kou F, Chen Y, Bai C (2022) Dissipation behaviors of granular balls in a shaken closed container. Mech Syst Signal Process 172:108986. https://doi.org/10.1016/j.ymssp.2022.108986
Zhang K, Zhong H, Kou F, Chen Y, Gao Y (2022) Dissipation behaviors of suspended granular balls in a vibrated closed container. Powder Technol 399:117158. https://doi.org/10.1016/j.powtec.2022.117158
Acknowledgements
This work was partially supported by JST SPRING (JPMJSP2128), JST, A-step, Grant Numbers JPMJTR192A and JPMJTM22B9, NEDO, Intensive Support for Young Promising Researchers (20002175), and JSPS KAKENHI (21H05020).
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Guo, H., Ichikawa, K., Sakai, H. et al. Numerical and experimental analysis in the energy dissipation of additively-manufactured particle dampers based on complex power method. Comp. Part. Mech. 10, 1077–1091 (2023). https://doi.org/10.1007/s40571-022-00540-3
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DOI: https://doi.org/10.1007/s40571-022-00540-3