Quasi-static analysis of the nonlinear behavior of a railway vehicle gear system considering time-varying and stochastic excitation

The gearboxes of machines generally operate under a time-varying state rather than under steady-state conditions. However, it is difficult to investigate the nonlinear dynamics of a time-varying gear system. A gear system model of a railway vehicle was proposed in consideration of its time-varying mesh stiffness, nonlinear backlash, transmission error, time-varying external excitation, and rail irregularity. To obtain the nonlinear behaviors of a time-varying stochastic gear system, a quasi-static analysis was performed to observe its doubling-periodic bifurcation, chaotic motion, and transition from a lower to a higher power periodic motion. Based on the energy comparison results, the time-varying stochastic gear system was degraded to a time-varying system to simplify the calculation. Furthermore, the nonlinear response of the time-varying system was computed using the Runge–Kutta method and was compared with the results of a quasi-static analysis that employed a short-time Fourier transform method. The results of the quasi-static analysis were consistent with the results of the time–frequency analysis for the time-varying gear system except for the result at 3180 r/min, which represented a short period wherein the process transitioned to chaos. Hence, the comparison demonstrates the applicability of the quasi-static analysis for the nonlinear behavior analysis of a time-varying stochastic system.

[1]  Wanming Zhai,et al.  Dynamic investigation of a locomotive with effect of gear transmissions under tractive conditions , 2017 .

[2]  Bangchun Wen,et al.  Nonlinear dynamic analysis of coupled gear-rotor-bearing system with the effect of internal and external excitations , 2016 .

[3]  Shijing Wu,et al.  Harmonic balance method implementation of nonlinear dynamic characteristics for compound planetary gear sets , 2015 .

[4]  A. Naess,et al.  Nonsmooth Dynamics by Path Integration: An Example of Stochastic and Chaotic Response of a Meshing Gear Pair , 2009 .

[5]  Anoshirvan Farshidianfar,et al.  Global bifurcation and chaos analysis in nonlinear vibration of spur gear systems , 2014 .

[6]  J. C. Jáuregui-Correa,et al.  Effect of the coupling strength on the nonlinear synchronization of a single-stage gear transmission , 2016 .

[7]  Xuping Wang,et al.  Multi-mode separation and nonlinear feature extraction of hybrid gear failures in coal cutters using adaptive nonstationary vibration analysis , 2016 .

[8]  Cai-Wan Chang-Jian,et al.  Non-linear dynamic analysis of a HSFD mounted gear-bearing system , 2010 .

[9]  Zhixiong Li,et al.  The nonlinear dynamics response of cracked gear system in a coal cutter taking environmental multi-frequency excitation forces into consideration , 2016 .

[10]  Yanyang Zi,et al.  An improved time-varying mesh stiffness algorithm and dynamic modeling of gear-rotor system with tooth root crack , 2014 .

[11]  Eric R. Dittman,et al.  Identification of cubic nonlinearity in disbonded aluminum honeycomb panels using single degree-of-freedom models , 2015 .

[12]  Francesco Pellicano,et al.  Symmetry breaking and chaos-induced imbalance in planetary gears , 2015 .

[13]  Zhixiong Li,et al.  Nonlinear dynamic response of a multi-degree of freedom gear system dynamic model coupled with tooth surface characters: a case study on coal cutters , 2015, Nonlinear Dynamics.

[14]  Huang Guan-hu,et al.  Vibration Characteristics of Gear Transmission System of High-speed Train under Dynamic Excitation , 2014 .

[15]  Ling-Yun Zhu,et al.  Bifurcation and chaos analysis of spur gear pair in two-parameter plane , 2015 .

[16]  Cai-Wan Chang-Jian,et al.  Bifurcation and chaos of gear-rotor–bearing system lubricated with couple-stress fluid , 2015 .

[17]  Rui Ma,et al.  Research on dynamics and fault mechanism of spur gear pair with spalling defect , 2012 .

[18]  Juan Luis García Guirao,et al.  New trends in nonlinear dynamics and chaoticity , 2016 .

[19]  Yimin Shao,et al.  Dynamic features of planetary gear set with tooth plastic inclination deformation due to tooth root crack , 2013 .

[20]  Yidu Zhang,et al.  Nonlinear behavior analysis of geared rotor bearing system featuring confluence transmission , 2014 .

[21]  Yang Guang,et al.  Research on the vibration characteristics of high-speed rotation elastic wheelset , 2016 .

[22]  Nabil G. Chalhoub,et al.  Nonlinear robust observer for structures with configuration-dependent natural frequencies: experimental and theoretical results , 2016 .

[23]  Christos Spitas,et al.  Coupled multi-DOF dynamic contact analysis model for the simulation of intermittent gear tooth contacts, impacts and rattling considering backlash and variable torque , 2016 .

[24]  T. Lim,et al.  An enhanced multi-term harmonic balance solution for nonlinear period-one dynamic motions in right-angle gear pairs , 2012 .

[25]  Zheng,et al.  Solution Domain Boundary Analysis Method and Its Application in Parameter Spaces of Nonlinear Gear System , 2011 .

[26]  Mohamed Haddar,et al.  A perturbation approach for the dynamic analysis of one stage gear system with uncertain nnparameters , 2015 .

[27]  Wei Li,et al.  Mechanism of the Polygonal Wear of Metro Train Wheels , 2013 .

[28]  Huang Guanhu,et al.  Dynamic Response Analysis of Gearbox Housing System Subjected to Internal and External Excitation in High-speed Train , 2015 .

[29]  Fakher Chaari,et al.  Effects of variable loading conditions on the dynamic behaviour of planetary gear with power recirculation , 2016 .

[30]  Hui Ma,et al.  Review on dynamics of cracked gear systems , 2015 .

[31]  Jinyuan Tang,et al.  Coupled translation-rotation vibration and dynamic analysis of face geared rotor system , 2015 .

[32]  Giorgio Bonori,et al.  Non-smooth dynamics of spur gears with manufacturing errors , 2007 .

[33]  Shaopu Yang,et al.  Nonlinear dynamics of a spur gear pair with time-varying stiffness and backlash based on incremental harmonic balance method , 2006 .

[34]  Datong Qin,et al.  Dynamic characteristics of the herringbone planetary gear set during the variable speed process , 2014 .

[35]  Hanjun Jiang,et al.  Dynamic behavior analysis of spur gears with constant & variable excitations considering sliding friction influence , 2016 .