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Analysis and modeling of error of spiral bevel gear grinder based on multi-body system theory

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Journal of Central South University of Technology 2008年第5期15卷 706-711页

作者：陈书涵严宏志明兴祖 School of Mechanical and Electrical Engineering Central South UniversityChangsha 410083 China School of Mechanical and Electrical Engineering Central South University School of Mechanical Engineering Hunan University of Technology Zhuzhou 412008 China

Six-axis numerical control spiral bevel gear grinder was taken as the object, multi-body system theory and Denavit-Hartenberg homogeneous transformed matrix （HTM） were utilized to establish the grinder synthesis error model, and the validity of model was confirmed by the experiment. Additionally, in grinding wheel tool point coordinate system, the errors of six degrees of freedom were simulated when the grinding wheel revolving around C-axis, moving along X-axis and Y-axis. The influence of these six errors on teeth space, helix angle, pitch, teeth profile was discussed. The simulation results show that the angle error is in the range from -0.148 4 tad to -0.241 9 rad when grinding wheel moving along X, Y-axis; the translation error is in the range from 0.866 0 μm to 3.605 3μm when grinding wheel moving along X-axis. These angle and translation errors have a great influence on the helix angle, pitch, teeth thickness and tooth socket.

关键词： six-axis grinder spiral bevel gear error model analysis

Time-Varying Mesh Stiffness Calculation and Dynamic Modeling of spiral bevel gear with Spalling Defects

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Journal of Dynamics, Monitoring and Diagnostics 2024年第2期3卷 143-155页

作者： Keyuan Li Baijie Qiao Heng Fang Xiuyue Yang Xuefeng Chen School of Mechanical Engineering Xi’an Jiaotong UniversityXi’anPR China National Key Lab of Aerospace Power System and Plasma Technology Xi’an Jiaotong UniversityXi’anPR China

Time-varying mesh stiffness(TVMS)is a vital internal excitation source for the spiral bevel gear(SBG)transmission *** defect often causes decrease in gear mesh stiffness and changes the dynamic characteristics of the gear system,which further increases noise and *** paper aims to calculate the TVMS and establish dynamic model of SBG with spalling *** this study,a novel analytical model based on slice method is proposed to calculate the TVMS of SBG considering spalling ***,the influence of spalling defect on the TVMS is studied through a numerical simulation,and the proposed analytical model is verified by a finite element ***,an 8-degrees-of-freedom dynamic model is established for SBG transmission *** the spalling defect into TVMS,the dynamic responses of spalled SBG are *** numerical results indicate that spalling defect would cause periodic impact in time ***,an experiment is designed to verify the proposed dynamic *** experimental results show that the spalling defect makes the response characterized by periodic impact with the rotating frequency of spalled pinion.

关键词： dynamic modeling slice method spalling spiral bevel gear time-varying mesh stiffness(TVMS)

STUDY ON DOUBLE CIRCULAR ARC PROFILE spiral bevel gear TRANSMISSION

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维普期刊数据库

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Chinese Journal of Mechanical Engineering 1995年第1期8卷 71-74页

作者： Li Jinbao Wang Tie Shao Jiahui(Taiyuan University of Technology)Huston R L(University of Cincinnati, USA)

A stepped double arc spiral bevel gear tooth profile is examined. The development ofconjugate tooth surfaee of double are profile spiral bevel gears is described. The design and man-ufacture of the cutter is also discussed. Experimental results show that these gears have high loadcarrying capacity and that they are suitable for heavily loaded transmission. It is asserted thatsuch gears have higher power-to-weight ratios, are longer-lived, and provide more reliable per-formance than ordinary spiral bevel gears.

关键词： Double cireular arc profile spiral bevel gear Performance

Measurement and Compensation of Deviations of Real Tooth Surface of spiral bevel gear

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Chinese Journal of Aeronautics 2003年第3期16卷 182-186页

作者：王军王小椿姜虹冯文军 Department of Mechanical Engineering State Key Laboratory of Mechanical Transmission

This paper presents a method for measurement of deviation of the real gear tooth surface from the theoretical one with a coordinate measurement machine and compensation of repeatable parts. By investigation of characteristics of distortion of the gear tooth surface along the circle direction, the deviation is derived from distortion, and the definition of deviation with the geometrical invariability is proposed. Then the approach for determination of the location and orientation of the gear with respect to the coordinate measurement machine and the measurement way are developed. The deviation is represented with a difference surface, and an algorithm for derivation of parameters of global form deviations from the discrete points has been provided. Finally, the compensation approach is discussed.

关键词： machine manufacture automation compensation spiral bevel gear 3-D measurement

ALGORITHMS OF GENERATION MOTION AND DIRECT INTERPOLATION FOR spiral bevel gear NC MACHINING

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Transactions of Nanjing University of Aeronautics and Astronautics 2007年第3期24卷 257-264页

作者：刘凯赵东标南京航空航天大学机电学院

The generating motion of the generating gear and the work gear on spiral bevel gear NC machining is analyzed. The mathematical model of the tooth surface of spiral bevel gear is presented. A direct interpolation algorithm of spiral bevel gear NC machining is proposed, thus establishing the relationship between the motion of the cutter-head center and the rotation of the work gear. The interpolation algorithm is implemented to control the gear cutting on self-developed spiral bevel gear NC cutting machine. An example is given to verify the mathematical model and the interpolation algorithm.

关键词： spiral bevel gear mathematical model generating motion direct interpolation

Research on global form deviations for spiral bevel gear based on latticed measurement

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Journal of Measurement Science and Instrumentation 2012年第1期3卷 1-9页

作者：徐忠四苏铁熊金磊 School of Mechatronic Engineering North University of ChinaTaiyuan 030051China School of Information and Communication Engineering North University of ChinaTaiyuan 030051China

In order to improve the machining ac cu racy of spiral bevel gear,difference surface was adopted to characterize its gl obal form deviations quantifiably and correct its *** theoretical to oth surface model of spiral bevel gear was built,and the actual tooth surface o f spiral bevel gear had been got by using latticed *** equation of difference surface which can characterize the actual tooth surface deviation s was built by means of mathematical method in combination with measurement prin *** quantitative mathematical relationship between the actual tooth surfa ce deviations of spiral bevel gear and the corrected values of the machine-sett ing parameters had been referred,and the theoretical correction formula of the global form deviations had been got by the least square ***,the pinion of spiral bevel gear in the automobile rear axle has been set for an exam ple to account for the effectiveness of the deviation correction by use of the d ifference surface method.

关键词： spiral bevel gear global form deviation difference surface latticed measurement correction of machine-setting parameters

Research on Thermal Analysis of An Aviation spiral bevel gear Transmission Shafting

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Research on Thermal Analysis of An Aviation Spiral Bevel Gea...

Mathematic model and tooth contact analysis of a new spiral non-circular bevel gear

作者： Liu Shaojun Luo Cheng Hu Xiaozhou Zhang Jiang Shenzhen Far East Marine Minerals Exploitation Research Institute Co. Ltd. College of Mechanical and Electrical Engineering Central South University Shenzhen Research Institute of Central South University National Key Laboratory of Deep Sea Mineral Researches Development and Utilization Technology

To study the lubrication performance of an aviation spiral bevel gear transmission shafting,applying theories of tribology and heat transfer,thermal analysis of the entire transmission shafting was performed based on the software platform of ANSYS *** steady-state temperature field were obtained,where the influence of rotational speed and torque were *** results show that in the aviation spiral bevel gear transmission shafting,the highest temperature appears at the contact areas of outer ring raceway and rollers of the ‘compressed’ ***,the highest temperature of the driving gear increase respectively with the increasing of rotational speed and ***,the experimental data is basically consistent with the simulation results,which verifies the feasibility of the simulation method.

关键词： Aviation spiral bevel gear Transmission Shafting Thermal Analysis Steady-state Temperature Field

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Journal of Central South University 2022年第1期29卷 157-172页

作者： HAN Xing-hui ZHANG Xuan-cheng ZHENG Fang-yan XU Man TIAN Jun School of Automotive Engineering Hubei Key Laboratory of Advanced Technology of Automotive PartsWuhan University of TechnologyWuhan 430070China

A novel spiral non-circular bevel gear that could be applied to variable-speed driving in intersecting axes was proposed by combining the design principles of non-circular bevel gears and the manufacturing principles of face-milling spiral bevel *** straight non-circular bevel gears,spiral non-circular bevel gears have numerous advantages,such as a high contact ratio,high intensity,good dynamic performance,and an adjustable contact *** addition,while manufacturing straight non-circular bevel gears is difficult,spiral non-circular bevel gears can be efficiently and precisely fabricated with a 6-axis bevel gear cutting ***,the generating principles of spiral non-circular bevel gears were ***,a mathematical model,including a generating tooth profile,tooth spiral,pressure angle,and generated tooth profile for this gear type was *** the precision of the model was verified by a tooth contact analysis using FEA,and the contact patterns and stress distributions of the spiral non-circular bevel gears were investigated.

关键词： non circular gear spiral bevel gear mathematic model tooth contact analysis(TCA)

Microstress cycle and contact fatigue of spiral bevel gears by rolling-sliding of asperity contact

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Friction 2020年第6期8卷 1083-1101页

作者： Wei CAO Si REN Wei PU Ke XIAO School of Construction Machinery Chang'an UniversityXi'an 710064China School of Aeronautics and Astronautics Sichuan UniversityChengdu 610065China Department of Mechanical Engineering Massachusetts Institute of TechnologyCambridgeMassachusetts 02139USA College of Mechanical Engineering Chongqing UniversityChongqing 400044China

The rolling contact fatigue(RCF)model is commonly used to predict the contact fatigue life when the sliding is insignificant in contact ***,many studies reveal that the sliding,compared to the rolling state,can lead to a considerable reduction of the fatigue life and an excessive increase of the pitting area,which result from the microscopic stress cycle growth caused by the sliding of the asperity *** suggests that fatigue life in the rolling-sliding condition can be overestimated based only on the RCF *** rubbing surfaces of spiral bevel gears are subject to typical rolling-sliding *** paper aims to study the mechanism of the micro stress cycle along the meshing path and provide a reasonable method for predicting the fatigue life in spiral bevel *** microscopic stress cycle equation is derived with the consideration of gear meshing *** combination of the RCF model and asperity stress cycle is developed to calculate the fatigue life in spiral bevel *** find that the contact fatigue life decreases significantly compared with that obtained from the RCF *** is strong evidence that the microscopic stress cycle is remarkably increased by the rolling-sliding motion of the asperity contact,which is consistent with the experimental data in previous *** addition,the fatigue life under different assembling misalignments are investigated and the results demonstrate the important role of misalignments on fatigue life.

关键词： rolling/sliding contact fatigue stress cycle spiral bevel gear mixed elasto-hydrodynamic lubrication assembling misalignment