PAN Wu-jiu， LI Xiao-peng， WANG Xue， LI Mu-yan. Nonlinear Fractal Model for Static Friction Coefficient Considering Three-Dimensional Topography of Joint Surfaces[J]. Journal of Northeastern University Natural Science, 2017, 38(10): 1447-1452.
[1]Ren Y，Beards C F.Identification of effective linear joints using coupling and joint identification techniques［J］.ASME Journal of Vibration and Acoustics，1998，120(2):331-338. [2]Ibrahim R A，Pettit C L.Uncertainties and dynamic problems of bolted joints and other fasteners［J］.Journal of Sound and Vibration，2005，279(3/5):857-936. [3]李小彭，梁友鉴，孙德华，等.系统参数对自激振动系统动力学稳定性的影响［J］.东北大学学报(自然科学版)，2015，36(5):690-694.(Li Xiao-peng，Liang You-jian，Sun De-hua，et al.Impact of the system parameters on self-excited vibration system dynamic stability［J］.Journal of Northeastern University(Natural Science)，2015，36(5):690-694.) [4]Baramsky N，Seibel A，Schlattmann J.Modeling of friction-induced vibrations during tightening of bolted joints［J］.Proceedings in Applied Mathematics and Mechanics，2016，16(1):259-260. [5]Iroz I，Hanss M，Eberhard P.Transient simulation of friction-induced vibrations using an elastic multibody approach［J］.Multibody System Dynamics，2017，39(1/2):37-49. [6]田红亮，赵春华，方子帆，等.金属材料表面静摩擦学特性的预测研究——理论模型［J］.振动与冲击，2013，32(12):40-44.(Tian Hong-liang，Zhao Chun-hua，Fang Zi-fan，et al.Predication investigation on static tribological performance of metallic material surfaces—theoretical model ［J］.Journal of Vibration and Shock，2013，32(12):40-44.) [7]Chang W R，Etsion I， Bogy D B.Static friction coefficient model for metallic rough surfaces ［J］.ASME Journal of Tribology，1988，110(1):57-63. [8]兰国生，张学良，丁红钦，等.基于分形理论的结合面静摩擦因数改进模型［J］.农业机械学报，2012，43(1):213-218.(Lan Guo-sheng，Zhang Xue-liang，Ding Hong-qin，et al.Modified model of static friction coefficient of joint interfaces based on fractal theory ［J］.Transactions of the Chinese Society for Agricultural Machinery，2012，43(1):213-218.) [9]Liou J L，Lin J F.A modified fractal microcontact model developed for asperity heights with variable morphology parameters［J］.Wear，2010，268(1/2):133-144. [10]Luen L J，Fin L J.A new microcontact model developed for variable fractal dimension，topothesy，density of asperity，and probability density function of asperity heights［J］.Journal of Applied Mechanics，2007，74(4):603-613. [11]Yan W，Komvopoulos K.Contact analysis of elastic-plastic fractal surfaces［J］.Journal of Applied Physics，1998，84(7):3617-3624. [12]Li X P，Yue B，Zhao G，et al.Fractal prediction model for normal contact damping of joint surfaces considering friction factors and its simulation［J］.Advances in Mechanical Engineering，2014，9(1):1-5. [13]Hamilton G M.Explicit equations for the stresses beneath a sliding spherical contact［J］.Journal of Mechanical Engineering Science，1983，197(1):53-59. [14]田红亮，刘芙蓉，赵春华，等.金属材料表面静摩擦学特性的预测研究——实验佐证［J］.振动与冲击，2014，33(1):209-220.(Tian Hong-liang，Liu Fu-rong，Zhao Chun-hua，et al.Prediction of static friction performance of metallic material surfaces with experimental proof［J］.Journal of Vibration and Shock，2014，33(1):209-220.)
