Time-varying mesh stiffness (TVMS) is one of the important internal excitations of gear transmission systems. Accurate solution of meshing stiffness is the key to research the vibration response of gear transmission system. In the traditional analytical method (TAM), the TVMS of single-teeth engaged region consist of bending, shearing, axial compression deformation stiffness, fillet-foundation stiffness, and Hertzian contact stiffness, the TVMS of double-tooth engaged region is the sum of the single-tooth engaged region, which will lead to repeated calculation of the fillet-foundation stiffness. In order to overcome this shortcoming, considering the coupling effect between two pairs of meshing tooth, an improved method of fillet-foundation is adopted to calculate to TVMS of each slice gear. According to the ‘slicing method’, the helical gear is divided into slice gear. Considering the coupling effect of each slice gear, the TVMS of helical gear can be obtained. The improved analytical method (IAM) is verified by comparing with finite element method (FEM) and TAM. Based on the IAM, the effects of the helical angle, face width, the number of gear, and modification coefficient on the mesh characteristics are analyzed. The results show that the IAM is consistent with the FEM and also consistent with TAM in single-tooth engagement. However, there is obviously error with the TAM in double-tooth or multi-tooth engagement.
{"title":"An Improved Model for Calculating the Mesh Stiffness of Helical Gears","authors":"Jing-hua Wei, Shaoshuai Hou, Aiqiang Zhang, Chunpeng Zhang","doi":"10.1115/detc2019-97191","DOIUrl":"https://doi.org/10.1115/detc2019-97191","url":null,"abstract":"\u0000 Time-varying mesh stiffness (TVMS) is one of the important internal excitations of gear transmission systems. Accurate solution of meshing stiffness is the key to research the vibration response of gear transmission system. In the traditional analytical method (TAM), the TVMS of single-teeth engaged region consist of bending, shearing, axial compression deformation stiffness, fillet-foundation stiffness, and Hertzian contact stiffness, the TVMS of double-tooth engaged region is the sum of the single-tooth engaged region, which will lead to repeated calculation of the fillet-foundation stiffness. In order to overcome this shortcoming, considering the coupling effect between two pairs of meshing tooth, an improved method of fillet-foundation is adopted to calculate to TVMS of each slice gear. According to the ‘slicing method’, the helical gear is divided into slice gear. Considering the coupling effect of each slice gear, the TVMS of helical gear can be obtained. The improved analytical method (IAM) is verified by comparing with finite element method (FEM) and TAM. Based on the IAM, the effects of the helical angle, face width, the number of gear, and modification coefficient on the mesh characteristics are analyzed. The results show that the IAM is consistent with the FEM and also consistent with TAM in single-tooth engagement. However, there is obviously error with the TAM in double-tooth or multi-tooth engagement.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128231251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tooth surface crack is an early fault before spalling, which has an important influence on mesh stiffness and vibration characteristics of the gear system. However, the researches on tooth surface crack are limited as scholars pay little attention to this early fault. In this study, an analytical model of spur gears with tooth surface crack is established. Using the potential energy method, the equations for mesh stiffness calculation of spur gears with tooth surface crack are derived. By adopting the proposed model, the influences of tooth surface crack fault on mesh stiffness of gear tooth are studied. The relationship between tooth surface crack and mesh stiffness of gear tooth under different lengths and depths can be further calculated. This study provides a theoretical basis for the diagnosis of early failure of spalling.
{"title":"Mesh Stiffness Calculation of Spur Gears With Tooth Surface Crack","authors":"Luke Zhang, Y. Shao","doi":"10.1115/detc2019-97857","DOIUrl":"https://doi.org/10.1115/detc2019-97857","url":null,"abstract":"\u0000 Tooth surface crack is an early fault before spalling, which has an important influence on mesh stiffness and vibration characteristics of the gear system. However, the researches on tooth surface crack are limited as scholars pay little attention to this early fault. In this study, an analytical model of spur gears with tooth surface crack is established. Using the potential energy method, the equations for mesh stiffness calculation of spur gears with tooth surface crack are derived. By adopting the proposed model, the influences of tooth surface crack fault on mesh stiffness of gear tooth are studied. The relationship between tooth surface crack and mesh stiffness of gear tooth under different lengths and depths can be further calculated. This study provides a theoretical basis for the diagnosis of early failure of spalling.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128589002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kevin Vedera, I. Hong, David Talbot, A. Kahraman, Sen Zhou
Power losses of load carrying gear and bearing components of automotive transmissions have become a major research area in recent years. Measurement of power loss of a gearbox is a routine task where losses from rolling element bearings, gear meshes and seals collectively define the total loss. However, separating bearing and gear mesh losses is not possible, as a gear mesh cannot be operated without support bearings. This study aims at developing a methodology for measuring power losses of rolling element bearings of different types operated under realistic load, speed and temperature conditions. A test machine concept is implemented to apply combined radial and axial loads to a pair of test bearings in a stable and repeatable manner, with rotational speed and lubrication parameters controlled tightly during tests. The proposed test methodology is employed to evaluate power loss for three different types of bearings. Load-dependent and load-independent components of power loss are separated, and influence of speed and load values on bearing mechanical loss are quantified. A repeatability study of the machine and methodology is also presented to demonstrate the accuracy of the proposed setup.
{"title":"Power Loss Measurements of Rolling Element Bearings Subject to Combined Radial and Axial Loads","authors":"Kevin Vedera, I. Hong, David Talbot, A. Kahraman, Sen Zhou","doi":"10.1115/detc2019-97438","DOIUrl":"https://doi.org/10.1115/detc2019-97438","url":null,"abstract":"\u0000 Power losses of load carrying gear and bearing components of automotive transmissions have become a major research area in recent years. Measurement of power loss of a gearbox is a routine task where losses from rolling element bearings, gear meshes and seals collectively define the total loss. However, separating bearing and gear mesh losses is not possible, as a gear mesh cannot be operated without support bearings. This study aims at developing a methodology for measuring power losses of rolling element bearings of different types operated under realistic load, speed and temperature conditions. A test machine concept is implemented to apply combined radial and axial loads to a pair of test bearings in a stable and repeatable manner, with rotational speed and lubrication parameters controlled tightly during tests. The proposed test methodology is employed to evaluate power loss for three different types of bearings. Load-dependent and load-independent components of power loss are separated, and influence of speed and load values on bearing mechanical loss are quantified. A repeatability study of the machine and methodology is also presented to demonstrate the accuracy of the proposed setup.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131981035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The research hereby introduces a novel approach to reduce tooth bending stress using a parametric numeric simulation. This Finite Element Method (FEM) is used to determine optimal design variables for an asymmetric root profile of a helical gear defined by a rational cubic Bezier curve. The gear is first modelled using a machine design software and later implemented into a 3D computer aided design (CAD) package to modify the root spline geometry using a script. A nonlinear relationship exists between the design variables and tooth bending stress. Additionally, certain trends exist between the design variables to exhibit a more optimal root profile. The simulation results show that the proposed method is feasible as the general optimization process results in significant bending stress reduction. The numerical simulation demonstrates that bending stress can be reduced by as much as 10.75% by the proposed approach.
{"title":"Numerical Simulation for Optimizing Tooth Profile Using Bezier Curve","authors":"K. Qiu, R. Samadi","doi":"10.1115/detc2019-97009","DOIUrl":"https://doi.org/10.1115/detc2019-97009","url":null,"abstract":"\u0000 The research hereby introduces a novel approach to reduce tooth bending stress using a parametric numeric simulation. This Finite Element Method (FEM) is used to determine optimal design variables for an asymmetric root profile of a helical gear defined by a rational cubic Bezier curve. The gear is first modelled using a machine design software and later implemented into a 3D computer aided design (CAD) package to modify the root spline geometry using a script. A nonlinear relationship exists between the design variables and tooth bending stress. Additionally, certain trends exist between the design variables to exhibit a more optimal root profile. The simulation results show that the proposed method is feasible as the general optimization process results in significant bending stress reduction. The numerical simulation demonstrates that bending stress can be reduced by as much as 10.75% by the proposed approach.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129049603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Junichi Hongu, Hiroki Noborio, T. Koide, A. Tamura
This study proposes a stylization method for gear tooth surface using slices of 2-dimensional spectrum. Focusing on a contour (or a slice in the z direction) of the curved surface generated by the 2-dimensinal spectrum, we could approximate the contour to a closed curve, and obtain the ‘scale’ parameter and the ‘shape’ parameter such as a radius, an aspect ratio, etc. which form the closed curve. To determine the flexibility of the proposed method for stylizing the surface texture of gear, this paper shows the approximating the 2-dimensional spectrums which are obtained by frequency analysis of the surface textures of gears with different machining processes using closed curve. As a result of the template matching using astroid, it was found that the astroid can approximate the contour of the 2-dimensinal power spectrum of the gear tooth surface with five machining processes, hob, generation grinding, form grinding, hone and barrel.
{"title":"Stylization for Gear Tooth Surfaces With Different Machining Processes Using Graphic Analysis","authors":"Junichi Hongu, Hiroki Noborio, T. Koide, A. Tamura","doi":"10.1115/detc2019-97776","DOIUrl":"https://doi.org/10.1115/detc2019-97776","url":null,"abstract":"\u0000 This study proposes a stylization method for gear tooth surface using slices of 2-dimensional spectrum. Focusing on a contour (or a slice in the z direction) of the curved surface generated by the 2-dimensinal spectrum, we could approximate the contour to a closed curve, and obtain the ‘scale’ parameter and the ‘shape’ parameter such as a radius, an aspect ratio, etc. which form the closed curve. To determine the flexibility of the proposed method for stylizing the surface texture of gear, this paper shows the approximating the 2-dimensional spectrums which are obtained by frequency analysis of the surface textures of gears with different machining processes using closed curve. As a result of the template matching using astroid, it was found that the astroid can approximate the contour of the 2-dimensinal power spectrum of the gear tooth surface with five machining processes, hob, generation grinding, form grinding, hone and barrel.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114148530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Bahadir Sarikaya, M. Inalpolat, Hyun Ku Lee, M. Kim
A generalized nonlinear time-varying, planar dynamic model of bifilar centrifugal pendulum vibration absorbers (CPVA) is proposed. This dynamic model enables fast prediction of vibration reduction performance of any CPVA design considering the impact of absorber rollers, gravity, end stops and translational motion of the system. The modeling framework provides comparative, simultaneous simulation results for numerous different design possibilities, and thus can be used to optimize CPVA designs. The dynamic model is generic and can handle N individually designed absorbers on a rotor with numerous path options ranging from circular to cycloid. Absorbers can be designed to be equally or unequally spaced. In this study, first the dynamic model of the bifilar CPVAs is derived. Then, case studies are provided to showcase the capabilities of the modeling framework. Initially, maximum applicable dynamic torque to a CPVA and vibration reduction performance are investigated by considering the effect of tuning order and different absorber path options for different operating speeds. Then, impact of different modelling features on system frequency response and limit dynamic torque is investigated. Interactions between the important design parameters are highlighted. Finally, the influence of end stop positioning on the CPVA dynamic response is illustrated.
{"title":"An Analytical Investigation of the Impact of Design Parameters on the Performance of Centrifugal Pendulum Vibration Absorbers","authors":"Bahadir Sarikaya, M. Inalpolat, Hyun Ku Lee, M. Kim","doi":"10.1115/detc2019-98018","DOIUrl":"https://doi.org/10.1115/detc2019-98018","url":null,"abstract":"\u0000 A generalized nonlinear time-varying, planar dynamic model of bifilar centrifugal pendulum vibration absorbers (CPVA) is proposed. This dynamic model enables fast prediction of vibration reduction performance of any CPVA design considering the impact of absorber rollers, gravity, end stops and translational motion of the system. The modeling framework provides comparative, simultaneous simulation results for numerous different design possibilities, and thus can be used to optimize CPVA designs. The dynamic model is generic and can handle N individually designed absorbers on a rotor with numerous path options ranging from circular to cycloid. Absorbers can be designed to be equally or unequally spaced. In this study, first the dynamic model of the bifilar CPVAs is derived. Then, case studies are provided to showcase the capabilities of the modeling framework. Initially, maximum applicable dynamic torque to a CPVA and vibration reduction performance are investigated by considering the effect of tuning order and different absorber path options for different operating speeds. Then, impact of different modelling features on system frequency response and limit dynamic torque is investigated. Interactions between the important design parameters are highlighted. Finally, the influence of end stop positioning on the CPVA dynamic response is illustrated.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123753496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study employs an analytical model of a gear pair with transverse-torsional dynamics that allows analysis of single-sided, double-sided, and random rattle situations to contrast rattle characteristics of isotropic PM gears with a baseline steel gearset. This model utilizes time-varying gear mesh stiffness and transmission error as the internal excitation sources and time-varying operating torque as an external excitation. The gear rattle performance of PM gears is investigated under different torque conditions and operating speeds. The system kinetic and potential energy is assessed as an evaluation tool that can indicate the severity of different rattle conditions. The dynamic response of two different versions of an existing PM gear design are compared with a baseline traditional steel gear.
{"title":"An Analytical Investigation of Rattle Characteristics of Powder Metal Gears","authors":"Elizabeth Slavkovsky, M. Inalpolat, A. Flodin","doi":"10.1115/detc2019-98026","DOIUrl":"https://doi.org/10.1115/detc2019-98026","url":null,"abstract":"\u0000 This study employs an analytical model of a gear pair with transverse-torsional dynamics that allows analysis of single-sided, double-sided, and random rattle situations to contrast rattle characteristics of isotropic PM gears with a baseline steel gearset. This model utilizes time-varying gear mesh stiffness and transmission error as the internal excitation sources and time-varying operating torque as an external excitation. The gear rattle performance of PM gears is investigated under different torque conditions and operating speeds. The system kinetic and potential energy is assessed as an evaluation tool that can indicate the severity of different rattle conditions. The dynamic response of two different versions of an existing PM gear design are compared with a baseline traditional steel gear.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133479537","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The mathematical model of a strain wave gear (SWG) composed of a flexspline (FS), an elliptical wave generator (WG), and a circular spline (CS) was developed and the performance was simulated by two-dimensional (2-D) finite element analysis. A rack cutter exhibiting a double-circular-arc normal section was utilized to generate the FS, and the conjugate CS was also developed based on the theory of gearing and enveloping equation. Computer program developed in Visual C++ was completed for the geometry and 2-D mesh generation. The performances as well as the rotational motion of the SWG with double-circular-arc profile were simulated and investigated by 2-D finite element analysis.
{"title":"Tooth Geometry Design and Two-Dimensional Finite Element Analysis for a Strain Wave Gear With Double-Circular-Arc Profile","authors":"Yi-Cheng Chen, Yun-Hao Cheng, J. Tseng, K. Hsieh","doi":"10.1115/detc2019-97594","DOIUrl":"https://doi.org/10.1115/detc2019-97594","url":null,"abstract":"\u0000 The mathematical model of a strain wave gear (SWG) composed of a flexspline (FS), an elliptical wave generator (WG), and a circular spline (CS) was developed and the performance was simulated by two-dimensional (2-D) finite element analysis. A rack cutter exhibiting a double-circular-arc normal section was utilized to generate the FS, and the conjugate CS was also developed based on the theory of gearing and enveloping equation. Computer program developed in Visual C++ was completed for the geometry and 2-D mesh generation. The performances as well as the rotational motion of the SWG with double-circular-arc profile were simulated and investigated by 2-D finite element analysis.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"144 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124342167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
An analytical calculation method was developed to determine the main gearing data for beveloid gears with non-parallel non-intersecting axes. To validate the method and identify its limits, a parameter study was to be conducted. A two-stage fractional factorial experimental design was therefore devised to deliberately vary the gearing parameters. For each gearing, an unloaded contact simulation was carried out using the position of the contact pattern, the transmission error and the predefined gear backlash as quality characteristics. The results of the simulation were subsequently classified in three evaluation categories. Due to the generalizability of the method proposed, it can also be used for the design of other involute gearings. A modification of the equations revealed its applicability for spur gear pairs with no shaft angle and for crossed helical gear pairs with shaft angles up to 90°. The results for the beveloid gear pairs investigated using a wide range of parameters as well as those for the cylindrical and crossed helical gear pairs proved the validity of the method. In the case of outliers in the evaluation, the causes were identified and corrective actions were presented.
{"title":"Theoretical Validation of an Analytical Design Method for Beveloid Gears With Non-Parallel Non-Intersecting Axes","authors":"D. Marino, Matthias E. Bachmann, H. Binz","doi":"10.1115/detc2019-97246","DOIUrl":"https://doi.org/10.1115/detc2019-97246","url":null,"abstract":"\u0000 An analytical calculation method was developed to determine the main gearing data for beveloid gears with non-parallel non-intersecting axes. To validate the method and identify its limits, a parameter study was to be conducted. A two-stage fractional factorial experimental design was therefore devised to deliberately vary the gearing parameters. For each gearing, an unloaded contact simulation was carried out using the position of the contact pattern, the transmission error and the predefined gear backlash as quality characteristics. The results of the simulation were subsequently classified in three evaluation categories.\u0000 Due to the generalizability of the method proposed, it can also be used for the design of other involute gearings. A modification of the equations revealed its applicability for spur gear pairs with no shaft angle and for crossed helical gear pairs with shaft angles up to 90°.\u0000 The results for the beveloid gear pairs investigated using a wide range of parameters as well as those for the cylindrical and crossed helical gear pairs proved the validity of the method. In the case of outliers in the evaluation, the causes were identified and corrective actions were presented.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132393052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, a load distribution model for a double-planet planetary gear set is developed by modifying an existing single-planet planetary gear set model [1] to account for an additional planet to planet gear mesh and their impact on phasing relationship among different sun-planet, planet-planet and planet-ring gear meshes. Similar to the single-planet planetary gear set model, the double-planet planetary gear set model accounts for effects of various component and system level variations such as supporting conditions, gear tooth modifications, manufacturing errors and kinematic configurations. The double-planet planetary gear load distribution model is derived for both rigid and flexible ring gear rim, while only parametric studies for a rigid ring gear rim is presented in this paper to demonstrate load distribution characteristics of double-planet planetary gear sets with different planet bearing stiffness and combination of various types of manufacturing errors, including pin hole position error and runout errors.
{"title":"A Load Distribution Model for Double-Planet Planetary Gear Sets","authors":"Yong Hu, David Talbot, A. Kahraman","doi":"10.1115/detc2019-98512","DOIUrl":"https://doi.org/10.1115/detc2019-98512","url":null,"abstract":"\u0000 In this paper, a load distribution model for a double-planet planetary gear set is developed by modifying an existing single-planet planetary gear set model [1] to account for an additional planet to planet gear mesh and their impact on phasing relationship among different sun-planet, planet-planet and planet-ring gear meshes. Similar to the single-planet planetary gear set model, the double-planet planetary gear set model accounts for effects of various component and system level variations such as supporting conditions, gear tooth modifications, manufacturing errors and kinematic configurations. The double-planet planetary gear load distribution model is derived for both rigid and flexible ring gear rim, while only parametric studies for a rigid ring gear rim is presented in this paper to demonstrate load distribution characteristics of double-planet planetary gear sets with different planet bearing stiffness and combination of various types of manufacturing errors, including pin hole position error and runout errors.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133965736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：