Investigation on the Energy Dissipation Properties of Jointed Structure during Macro-slip Stage

doi:10.3901/JME.2018.15.125

Abstract

Abstract: Iwan Model is often deployed to describe energy dissipations and damping properties of jointed structures. The analytical expression of energy dissipation vs. applied force during macro-slip stage is derived based on the six-parameter Iwan model. Parameter identification method according to the macro-slip experiment of bolted joints is also provided in order to deduce the parameters of the model. A finite amount of Jenkins elements is obtained and further applied in numerical simulations. The results indicate a good agreement between the analytical results of the six-parameter Iwan model and the experimental data. A linear relationship of energy dissipation vs. applied force is obtained due to the residual stiffness acting on the contact interfaces during the macro-slip stage. The calculated results show a good conformity with the analytical ones during the macro-slip stage. It is shown that the six-parameter Iwan model can be used to well describe the energy dissipation properties of bolted joints during the macro-slip stage.

Key words: contact friction, energy dissipation, Iwan model, jointed structure, macro-slip

CLC Number:

TH117

LI Yikun, HAO Zhiming. Investigation on the Energy Dissipation Properties of Jointed Structure during Macro-slip Stage[J]. Journal of Mechanical Engineering, 2018, 54(15): 125-131.

References

[1] BOGRAD S, REUSS P,SCHMIDT A,et al. Modeling the dynamics of mechanical joints[J]. Mechanical Systems and Signal Processing,2011,25(8):2801-2826.
[2] SITZMANN S,WILLNER K,WOHLMUTH B I. A dual Lagrange method for contact problems with regularized frictional contact conditions:Modelling micro slip[J]. Computer Methods in Applied Mechanics and Engineering,2015,285:468-487.
[3] XIAO H,SHAO Y,XU J. Investigation into the energy dissipation of a lap joint using the one-dimensional microslip friction model[J]. European Journal of Mechanics - A/Solids,2014,43:1-8.
[4] PATIL D B,ERITEN M. Effect of roughness on frictional energy dissipation in presliding contacts[J]. Journal of Tribology,2016,138(1):011401.
[5] PATIL D B,ERITEN M. Frictional energy dissipation in spherical contacts under presliding:Effect of elastic mismatch,plasticity and phase difference in loading[J]. Journal of Applied Mechanics,2015,82(1):011005.
[6] BEARDS C F. Damping in structural joints[J]. Shock and Vibration Digest,1985,17(11):17-20.
[7] 朱林波,刘志刚,蒋翔俊,等. 考虑界面端应力奇异性的螺栓连接支承面接触压力计算模型[J]. 机械工程学报,2014,50(23):89-96. ZHU Linbo,LIU Zhigang,JIANG Xiangjun,et al. Contact pressure model of fastener interface with stress singularities[J]. Journal of Mechanical Engineering,2014,50(23):89-96.
[8] FERRI A A. Friction damping and isolation systems[J]. Journal of Mechanical Design,1995,117(B):196-206.
[9] GAUL L,NITSCHE R. The role of friction in mechanical joints[J]. Applied Mechanics Reviews,2001,54(2):93-106.
[10] BERGER E J. Friction modeling for dynamic system simulation[J]. Applied Mechanics Reviews,2002,55(6):535-576.
[11] IWAN W D. A distributed-element model for hysteresis and its steady-state dynamic response[J]. Journal of Applied Mechanics,1966,33(4):893-900.
[12] MIGNOLET M P,SONG P,WANG X Q. A stochastic Iwan-type model for joint behavior variability modeling[J]. Journal of Sound and Vibration,2015,349:289-298.
[13] QUINN D D,SEGALMAN D J. Using series-series Iwan-type models for understanding joint dynamics[J]. Journal of Applied Mechanics,2005,72(5):666-673.
[14] MILLER J D,QUINN D D. A two-sided interface model for dissipation in structural systems with frictional joints[J]. Journal of Sound and Vibration,2009,321(1-2):201-219.
[15] RAJAEI M,AHAMADIAN H. Development of generalized Iwan model to simulate frictional contacts with variable normal loads[J]. Applied Mathematical Modelling,2014,38(15-16):4006-4018.
[16] SEGALMAN D J,STARR M J. Inversion of Masing models via continuous Iwan systems[J]. International Journal of Non-Linear Mechanics,2008,43(1):74-80.
[17] ARGATOV I I,BUTCHER E A. On the Iwan models for lap-type bolted joints[J]. International Journal of Non-Linear Mechanics,2011(2),46:347-356.
[18] AHAMADIAN H,RAJAEI M. Identification of Iwan distribution density function in frictional contacts[J]. Journal of Sound and Vibration,2014,333(15):3382-3393.
[19] IWAN W D. On a class of models for the yielding behavior of continuous and composite systems[J]. Journal of Applied Mechanics,1967,34(3):612-617.
[20] SEGALMAN D J. An initial overview of Iwan modeling for mechanical joints[R]. Technical Report SAND2001-0811,Sandia National Laboratories,NM,USA.
[21] SONG Y,HARTWIGSEN C J,MCFARLAND D M,et al. Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements[J]. Journal of Sound and Vibration,2004,273(1):249-276.
[22] GAUL L,LENZ J. Nonlinear dynamics of structures assembled by bolted joints[J]. Acta Mechanica,1997,125(1):169-181.
[23] UNGAR E E. Energy dissipation at structural joints; mechanisms and magnitudes[R]. Report FDL-TDR-64-98,Air Force Flight Dynamics Laboratory,Wright-Patterson Air Force Base,OH,USA.
[24] SEGALMAN D J. A four-parameter Iwan model for lap-type joints[J]. Journal of Applied Mechanics,2005,72(5):752-760.
[25] LI Y,HAO Z. A six-parameter Iwan model and its application[J]. Mechanical Systems and Signal Processing,2016,68-69:354-365.
[26] 李一堃,郝志明,章定国. 基于六参数非均匀密度函数的伊万模型研究[J]. 力学学报,2015,47(3):513-520. LI Yikun,HAO Zhiming,ZHANG Dingguo. Investigation into Iwan model based on the six-parameter non-uniform density function[J]. Chinese Journal of Theoretical and Applied Mechanics,2015,47(3):513-520.
[27] SEGALMAN D J,GREGORY D L,STARR M J,et al. Handbook on dynamics of jointed structures[R]. Technical Report SAND2009-4164,Sandia National Laboratories,NM,USA.
[28] ERITEN M,POLYCARPOU A A,BERGMAN L A. Effects of surface roughness and lubrication on the early stages of fretting of mechanical lap joints[J]. Wear,2011,271(11):2928-2939.
[29] 陈宝林. 最优化理论与算法[M]. 北京:清华大学出版社,2005. CHEN Baolin. The theory and algorithms of optimization[M]. Beijing:Tsinghua University Press,2005.