Simulation analysis of the hysteresis heat generation in damping rubber

LUO Wenbo1,2,JIANG Xia2,HU Xiaoling1,2,HUANG Youjian2

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (12) : 210-218.

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PDF(2963 KB)
Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (12) : 210-218.

Simulation analysis of the hysteresis heat generation in damping rubber

  • LUO Wenbo1,2,JIANG Xia2,HU Xiaoling1,2,HUANG Youjian2
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Abstract

Rubber has been widely used as damping material due to its excellent hyperelasticity and damping properties.Under cyclic deformation, the hysteresis loss of the material dissipates as heat, which causes self-heating of the material, and then changes the dynamic viscoelastic properties of the material due to their temperature dependence.Thus, the cyclic deformation of rubber material is a thermomechanically coupling process in nature.A modified Kraus model was used to describe the variation of the dynamic loss modulus of rubber material with temperature, loading frequency and strain amplitude, then the hysteresis heat generation rate of the cyclic loaded rubber was given according to the theory of viscoelasticity and the corresponding calculation program was developed.Finally, the hysteresis heat generation behavior of rubber cylinder specimen and an hourglass rubber damper under cyclic load were analyzed through deformation analysis, thermal analysis and thermo-mechanical coupling iterative calculation with the ABAQUS finite element software, and the corresponding temperature field and the time history of the self-heating induced temperature rise were obtained for the cases of different load frequencies and strain amplitudes.It is shown that the numerical calculations are in good agreement with measured values.

Key words

rubber / hysteresis loss / thermomechanical coupling / self-heating temperature rise / Kraus model

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LUO Wenbo1,2,JIANG Xia2,HU Xiaoling1,2,HUANG Youjian2. Simulation analysis of the hysteresis heat generation in damping rubber[J]. Journal of Vibration and Shock, 2021, 40(12): 210-218

References

[1]ZHAI W M, LIU P F, LIN J H, et al.Experimental investigation on vibration behaviour of a CRH train at speed of 350 km/h[J].International Journal of Rail Transportation, 2015, 3(1):1-16.
[2]任尊松,刘志明.高速动车组振动传递及频率分布规律[J].机械工程学报, 2013, 49(16):1-7.
REN Zunsong, LIU Zhiming.Vibration and frequency domain characteristics of high speed EMU [J].Journal of Mechanical Engineering, 2013, 49(16):1-7.
[3]FAN R P, MENG G, YANG J, et al.Experimental study of the effect of viscoelastic damping materials on noise and vibration reduction within railway vehicles[J].Journal of Sound and Vibration, 2009,319(1/2): 58-76.
[4]丁智平,穆龙海,卜继玲,等.橡胶弹性元件低温刚度预测[J].振动与冲击,2017,36(14):66-70.
DING Zhiping, MU Longhai, BU Jiling, et al.Stiffness prediction of rubber springs at lower temperature[J].Journal of Vibration and Shock, 2017,36(14): 66-70.
[5]PREVORSEK D C, BERINGER C W, PALLEY I, et al.Application of fracture mechanics in tire endurance analysis[J].Kautschuk Gummi Kunststoffe,1985,38:363-371.
[6]LI F Z, LIU J, YANG H B, et al.Numerical simulation and experimental verification of heat build-up for rubber compounds[J].Polymer, 2016,101: 199-207.
[7]LUO W B, YIN B Y, HU X L, et al.Modeling of the heat build-up of carbon black filled rubber[J].Polymer Testing, 2018, 69: 116-124.
[8]ZHI J Y, WANG S P, ZHANG M J, et al.Numerical analysis of the dependence of rubber hysteresis loss and heat generation on temperature and frequency[J].Mechanics of Time-Dependent Materials, 2019,23:427-442.
[9]ZHANG H, WEI, Y, KANG Z, et al.Influence of graphene oxide and multiwalled carbon nanotubes on the dynamic mechanical properties and heat buildup of natural rubber/carbon black composites[J].Journal of Elastomers and Plastics, 2018,50(5): 403-418.
[10]LE SAUX V, MARCO Y, CALLOCH S, et al.Heat build-up of rubber under cyclic loadings: validation of an efficient demarch to predict the temperature fields [J].Rubber Chemistry and Technology, 2013, 86(1): 38-56.
[11]CRUANES C, DEFFARGES M P, LACROIX F, et al.Modeling of the thermomechanical behavior of rubbers during fatigue tests from infrared measurements [J].International Journal of Fatigue, 2019, 126:231-240.
[12]RODAS C O, ZAIRI F, NAIT-ABDELAZIZ M, et al.A thermo-visco-hyperelastic model for the heat build-up during low-cycle fatigue of filled rubbers: formulation, implementation and experimental verification[J].International Journal of Plasticity, 2016,79:217-236.
[13]WHICKER D, BROWNE A L, SEGALMAN D J, et al.A thermomechanical approach to tire power loss modeling[J].Tire Science and Technology, 1981, 9(1): 3-18.
[14]WILLETT P R.Heat generation in tires due to the viscoelastic properties of elastomeric components[J].Rubber Chemistry and Technology, 1974, 47(2):363-375.
[15]上官文斌,李明敏,段小成.动力总成橡胶悬置高温疲劳特性的预测与试验研究[J].振动与冲击, 2015,34(15):66-71.
SHANGGUAN Wenbin, LI Mingmin, DUAN Xiaocheng.Fatigue life prediction and tests for rubber mounts under high temperature[J].Journal of Vibration and Shock, 2015,34(15):66-71.
[16]PAYNE A R.The dynamic properties of carbon black-loaded natural rubber vulcanizates [J].Journal of Applied Polymer Science, 1962, 6:57-63.
[17]LION A, KARDELKY C.The Payne effect in finite viscoelasticity: constitutive modelling based on fractional derivatives and intrinsic time scales [J].International Journal of Plasticity, 2004, 20: 1313-1345.
[18]LION A, KARDELKY C, HAUPT P.On the frequency and amplitude dependence of the Payne effect: theory and experiments [J].Rubber Chemistry and Technology, 2003, 76(2): 533-547.
[19]LUO  W B, HU X L, WANG C H, et al.Frequency and strain amplitude dependent dynamical mechanical properties and hysteresis loss of CB-filled vulcanized natural rubber [J].International Journal of Mechanical Sciences, 2010,52(2): 168-174.
[20]KRAUS G.Mechanical loss in carbon black filled rubbers[J].Applied Polymer Symposia, John Wiley & Sons, 1984: 75-92.
[21]CHO J, YOUN S.A viscoelastic constitutive model of rubber under small oscillatory load superimposed on large static deformation considering the Payne effect [J].Archive of Applied Mechanics, 2006, 75(4/5): 275-288.
[22]HU X L, LUO W B, LIU X, et al.Temperature-and frequency-dependent rheological behavior of carbon black filled natural rubber [J].Plastics, Rubber and Composites (Macromolecular Engineering), 2013, 42(10):416-420.
[23]HU X L, HE R Z, HUANG Y J, et al A method to predict the dynamical behaviors of carbon black filled natural rubber at different temperatures [J].Polymer Testing, 2019,79:106067
[24]OGDEN R W.Large deformation isotropic elasticity-on the correlation of theory and experiment for incompressible rubberlike solids [J].Proceedings of the Royal Society of London.Series A, Mathematical and Physical Sciences,1972,326:565-584.
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