An innovative ease-off flank modification method based on the dynamic performance for high-speed spiral bevel gear with high-contact-ratio

Abstract To reduce the running vibration of spiral bevel gear, an innovative ease-off flank modification method based on the dynamic performance for spiral bevel gear to minimize loaded transmission error (main vibration excitation of gear transmission in low speed range) and meshing impact (main vibration excitation of gear transmission in high speed range) is proposed. First, an innovative wave flank modification method related to high contact ratio, where the concave transmission error is used to replace the parabola transmission error, is proposed to minimize the loaded transmission error of high-contact-ratio spiral bevel gear. Secondly, meshing impact is calculated by considering the base pitch difference generated from loaded deformation. Finally, based on the advanced ease-off technology and wave flank modification method, an optimization model is established to reduce the loaded transmission error and meshing impact of high-speed spiral bevel gear with high-contact-ratio. The numerical results show that compared with optimized second-order spiral bevel gear transmission, the innovative ease-off flank modification method can further reduce the loaded transmission error and meshing impact of high-speed spiral bevel gear with high-contact-ratio, which greatly improves the dynamic performance of high-speed spiral bevel gear in the entire speed range.

[1]  Zongde Fang,et al.  Impact analysis and vibration reduction design of spiral bevel gears , 2019 .

[2]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[3]  Simon Vilmos,et al.  The influence of misalignments on mesh performances of hypoid gears , 1998 .

[4]  Han Ding,et al.  An accurate model of high-performance manufacturing spiral bevel and hypoid gears based on machine setting modification , 2016 .

[5]  Faydor L. Litvin,et al.  Computerized Developments in Design, Generation, Simulation of Meshing, and Stress Analysis of Gear Drives , 2005 .

[6]  K. Hokkirigawa,et al.  Effect of coefficient of friction at the sliding zone of chip-tool interface on chip curl diameter and secondary shear zone thickness during tapping process , 2017 .

[7]  Louis Cloutier,et al.  A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears , 1995 .

[8]  John J. Coy,et al.  Identification and proposed control of helicopter transmission noise at the source , 1987 .

[9]  Kalyanmoy Deb,et al.  RDS-NSGA-II: a memetic algorithm for reference point based multi-objective optimization , 2017 .

[10]  Zongde Fang,et al.  Design and analysis of spiral bevel gears with seventh-order function of transmission error , 2013 .

[11]  Li Yinong,et al.  Influence of Asymmetric Mesh Stiffness on Dynamics of Spiral Bevel Gear Transmission System , 2010 .

[12]  Yi-Pei Shih,et al.  Flank Modification Methodology for Face-Hobbing Hypoid Gears Based on Ease-Off Topography , 2007 .

[13]  Zhenyu Zhou,et al.  A hybrid modification approach of machine-tool setting considering high tooth contact performance in spiral bevel and hypoid gears , 2016 .

[15]  Vilmos Simon,et al.  Optimal Machine-Tool Settings for the Manufacture of Face-Hobbed Spiral Bevel Gears , 2014 .

[16]  L. Morrish,et al.  Gear transmission error outside the normal path of contact due to corner and top contact , 1999 .

[17]  Gaël Chevallier,et al.  Gear impacts and idle gear noise: Experimental study and non-linear dynamic model , 2009 .

[18]  Peter Eberhard,et al.  Simulative and experimental investigation of impacts on gear wheels , 2008 .

[19]  Jinyuan Tang,et al.  Effect of static transmission error on dynamic responses of spiral bevel gears , 2013 .

[20]  Massimo Guiggiani,et al.  Optimization of the Loaded Contact Pattern in Hypoid Gears by Automatic Topography Modification , 2009 .

[21]  Massimo Guiggiani,et al.  Nonlinear identification of machine settings for flank form modifications in hypoid gears , 2008 .

[22]  Ahmet Kahraman,et al.  An Ease-Off Based Optimization of the Loaded Transmission Error of Hypoid Gears , 2010 .

[23]  Faydor L. Litvin,et al.  Computerized design, simulation of meshing, and contact and stress analysis of face-milled formate generated spiral bevel gears , 2002 .

[24]  Vilmos Simon,et al.  Design and Manufacture of Spiral Bevel Gears With Reduced Transmission Errors , 2009 .

[25]  Z. Fang,et al.  Computerized Design and Optimization of Tooth Modifications on Pinions for Face Gear Drives , 2018, Arabian Journal for Science and Engineering.

[26]  Z. Fang,et al.  An ease-off flank modification method for high contact ratio spiral bevel gears with modified curvature motion , 2017 .

[27]  Teik C. Lim,et al.  VIBRATION ANALYSIS OF HYPOID TRANSMISSIONS APPLYING AN EXACT GEOMETRY-BASED GEAR MESH THEORY , 2001 .

[28]  Vilmos Simon Loaded Tooth Contact Analysis and Stresses in Spiral Bevel Gears , 2009 .

[29]  Vilmos Simon,et al.  Optimization of face-hobbed hypoid gears , 2014 .

[30]  Vilmos Simon,et al.  Manufacture of Optimized Face-Hobbed Spiral Bevel Gears on Computer Numerical Control Hypoid Generator , 2014 .

[31]  M. Li,et al.  Coupled axial-lateral-torsional dynamics of a rotor-bearing system geared by spur bevel gears , 2002 .

[32]  Rajesh C. Sanghvi,et al.  Multi-Objective Optimization of Two-Stage Helical Gear Train Using NSGA-II , 2014 .

[33]  Uwe Gaiser,et al.  The Ultimate Motion Graph , 2000 .

[34]  Qizhi Yao,et al.  Multi-objective optimization design of spur gear based on NSGA-II and decision making , 2019, Advances in Mechanical Engineering.

[35]  Hong Hee Yoo,et al.  Dynamic analysis for a pair of spur gears with translational motion due to bearing deformation , 2010 .

[36]  Vilmos Simon,et al.  Design of face-hobbed spiral bevel gears with reduced maximum tooth contact pressure and transmission errors , 2013 .