| The performance of gear products serves as a crucial indicator for evaluating a country’s manufacturing capabilities and scientific and technological innovation prowess.Currently,there exists a significant disparity between domestic high-end gear products and their international counterparts with respect to power density,reliability,bearing characteristics,and fatigue life.Enhancing the development of high-performance gear transmission products,bolstering independent innovation capacities for fundamental components,and promoting the ascent of the equipment manufacturing industry to the high-end value chain all carry significant theoretical significance and engineering practical value.Point contact curve configuration gear transmission is a new gear transmission form composed of convex and concave contact tooth profile,with high contact strength and high transmission efficiency.In this paper,based on the basic theoretical and design analysis research,the dynamic characteristics of point contact curved gears are studied,and the time-varying meshing stiffness calculation method of point contact curved gears based on the finite element method is proposed to analyze the dynamic contact characteristics of point contact curved gears.The main research contents are summarized as follows:(1)This study presents the fundamental principles underlying the point contact curve configuration gear transmission,which involves determining the basic design principles of gear tooth profile parameters.The construction of convex-concave contact tooth profile form is achieved by employing circular arc and multi-segment parabola as spatial contact curves.The general equation formulation of tooth profile curve is established,and the equations of the formed tooth surface are derived through the gear rack method.The MATLAB numerical calculation function is utilized to realize spatial gear tooth surface forming and simulation analysis.Moreover,a solid model of gears with point contact curve configuration is established using spatial data point sets and NX UG software.In summary,this study provides a comprehensive approach for designing and modeling point contact curve configuration gear transmissions.(2)The calculation method of time-varying meshing stiffness of helical gears using potential energy method is introduced,and the calculation method of time-varying meshing stiffness of point contact curve configuration gears based on finite element method is proposed;according to the formula of single tooth calculation of time-varying meshing stiffness,ABAQUS finite element software is used to extract the results of comprehensive elastic deformation of tooth surface and tooth contact force,and the single tooth meshing stiffness and comprehensive meshing stiffness of point contact curve configuration gears are calculated.To calculate the integrated elastic deformation and time-varying meshing stiffness of the gear under different tooth width and load conditions,and plot the time-varying meshing stiffness curve.(3)The inherent frequencies and vibration modes of point contact curve configuration gears were studied using modal analysis.Comparisons were made between the various order modes and frequencies of these gears and those of ordinary involute gears.Harmonic response analysis using the modal superposition method was performed to compare the dynamic response and contact stress and strain of both gear types at their respective excitation frequencies.Additionally,transient dynamic analysis was conducted to study the changing patterns of the equivalent contact stress on the tooth surface of the point contact curve configuration gear during different moments of the meshing process.These findings provide valuable insights into the performance of point contact curve configuration gears.(4)Using relevant software to establish a virtual prototype of a point contact curve configuration gear,the correctness of the prototype was verified by comparing the angular velocities of the driving and driven wheels in the ADAMS software environment.The normal contact force changes of the point contact curve configuration gear were simulated and analyzed.The dynamic characteristics of the point contact curve configuration gear and the ordinary involute gear were emphatically compared and analyzed,and the impact of meshing stiffness on the dynamic performance of the point contact curve configuration gear was studied,It lays a good foundation for the subsequent research on the dynamic analysis of point contact curve gear. |
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