Abstract
The torsional dynamic model of double-helical gear pair considering time-varying meshing stiffness, constant backlash, dynamic backlash, static transmission error, and external dynamic excitation was established. The frequency response characteristics of the system under constant and dynamic backlashes were solved by the incremental harmonic balance method, and the results were further verified by the numerical integration method. At the same time, the influence of time-varying meshing stiffness, damping, static transmission error, and external load excitation on the amplitude frequency characteristics of the system was analyzed. The results show that there is not only main harmonic response but also superharmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system, while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash, increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system.
Highlights
Double-helical gear is widely used in vehicle, ship, and other heavy machinery transmission systems because of its strong bearing capacity, compact structure, and axial force cancellation
Based on the above research, a torsional dynamic model of the doublehelical gear pair system is established in this study. e timevarying meshing stiffness, static backlash, dynamic backlash, static transmission error, external dynamic excitation, and other factors are considered in the model. e influence of parameter changes on the nonlinear dynamic characteristics of the double-helical gear pair system is studied by using the incremental harmonic balance method. e research results can provide reference for vibration reduction analysis and structure optimization of double-helical gear
The torsional dynamic model of double-helical gear transmission is established. e factors such as timevarying meshing stiffness, static transmission error, constant backlash, dynamic backlash, and external dynamic excitation are considered in the model. e frequency response characteristic curve of the system is better solved by using the incremental harmonic balance method
Summary
Double-helical gear is widely used in vehicle, ship, and other heavy machinery transmission systems because of its strong bearing capacity, compact structure, and axial force cancellation. Shen et al [5, 6] established the torsional vibration model of spur gear pair and gave the unified form of nonlinear analytical solution of the gear system including time-varying meshing stiffness and backlash. Xiang et al [22] established a torsional nonlinear dynamic model of multistage planetary gear considering time-varying meshing stiffness, comprehensive gear error, and piecewise backlash nonlinearities and studied the effects of excitation frequency, backlash, and damping on bifurcation characteristics. Lian et al [24] established a multiple degrees of freedom nonlinear dynamic model of a gear pair with timevarying mesh stiffness, mesh damping, backlash, dynamic transmission errors, and radial clearance of ball bearing by using the mass centralized method. Based on the above research, a torsional dynamic model of the doublehelical gear pair system is established in this study. e timevarying meshing stiffness, static backlash, dynamic backlash, static transmission error, external dynamic excitation, and other factors are considered in the model. e influence of parameter changes on the nonlinear dynamic characteristics of the double-helical gear pair system is studied by using the incremental harmonic balance method. e research results can provide reference for vibration reduction analysis and structure optimization of double-helical gear
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