{"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}
{"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
{"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}
{"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
{"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
{"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}
{"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}
{"title":"Hypocycloid Gear Mechanism Versus Slider-Crank Mechanism in Engines","authors":"Mostafa A ElBahloul, El-Sayed Aziz, C. Chassapis","doi":"10.1115/detc2019-97802","DOIUrl":"https://doi.org/10.1115/detc2019-97802","url":null,"abstract":"\u0000 This effort investigates the feasibility of using the Hypocycloid Gear Mechanism (HGM) as an alternative to the conventional slider-crank mechanism for Internal Combustion Engine (ICE) applications. Engines incorporating the conventional slider-crank mechanism are subjected to high frictional power losses mainly due to the piston-rod assembly and the associated complex motion of the connecting rod. The unique HGM engine provides the means for the piston-rod assembly to reciprocate in a straight-line motion along the cylinder axis, thus eliminating the piston side-thrusting into the cylinder wall. To analyze the performance advantages of the HGM engine, a Matlab/Simulink model is developed for the simulation of a single-cylinder HGM engine from the throttle to the crankshaft output. The model integrates several sub-models for combustion, gas flow, heat transfer, and friction power loss of the internal gear train meshes, rolling bearings, and sliding bearings. The design of the planetary crank gearing system to satisfy the design specifications of ICE, has been derived using standard design procedures provided by AGMA. Calculated efficiency and power diagrams are plotted and compared with the performance of conventional engines in the literature. The results show that the HGM can satisfy modern ICE design requirements, achieve better engine performance characteristics, and minimize the frictional power losses. The HGM engine achieved lower frictional power losses by an average 33% of the conventional engine losses while its mechanical efficiency is enhanced by up to +24% with respect to the conventional engine.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"214 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":"124208160","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}
Yonggang Liu, Jiming Wang, Pan Zhao, Dongye Sun, Yang Yang, D. Qin
{"title":"Research on Driving Style Classification for Shift Schedule of Dual Clutch Transmissions","authors":"Yonggang Liu, Jiming Wang, Pan Zhao, Dongye Sun, Yang Yang, D. Qin","doi":"10.1115/detc2019-97743","DOIUrl":"https://doi.org/10.1115/detc2019-97743","url":null,"abstract":"\u0000 As one of the most promising vehicle automatic transmission, the dual clutch transmissions (DCT) have become a research hotspot. In order to formulate different shift schedules of DCT to meet economic and comfort requirements, it is necessary to classify and identify driving styles based on vehicle driving data. Accurate classification of driving style is a prerequisite for effective identification, and in this research, a driving style classification method is built based on feature engineering. First, a specified road test is conducted considering the influence factors, in which the driving data is collected, and the driving style is subjectively evaluated. Subsequently, the information entropy is applied to discretize the velocity and the degree of accelerator pedal degree, where 44 feature quantities are extracted to characterize the driving style. Taking into account strong correlation and redundancy between the constructed feature quantities, the principal component analysis (PCA) is employed to reduce the dimension. Finally, the fuzzy c-means (FCM) clustering algorithm is used to classify the driving style. The successful classification rate can reach 92.16% of the subjective scoring result, and is improved by 9.81% comparing with traditional feature quantities. The results show the effectiveness of the proposed driving style classification method, which lays a foundation for the adaptive control of different driving styles for the establishment of an intelligent DCT control system.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"166 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":"126737597","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}
Xie Faxiang, Zhang Jing, Han Yinan, Wu Canyuan, Zhao Zhengyang, Zhan Min
{"title":"Three-Dimensional Spatial Meshing Quality Pre-Control of Harmonic Drive Based on Double-Circular-Arc Tooth Profile","authors":"Xie Faxiang, Zhang Jing, Han Yinan, Wu Canyuan, Zhao Zhengyang, Zhan Min","doi":"10.1115/detc2019-97228","DOIUrl":"https://doi.org/10.1115/detc2019-97228","url":null,"abstract":"\u0000 In the current harmonic drive tooth profile design, the three-dimensional spatial spline tooth meshing is not fully considered, which results in problems such as inconsistence of harmonic gearing backlash, low loading capacity, low transmission accuracy and even meshing tooth profile interference in actual machining of the harmonic reducer. Based on this, this paper proposes a harmonic drive meshing quality test method at extremely low input speed based on tooth profile of double–circular-arc profile (DCTP). And combined with the theory of spatial multi-tooth meshing, the corresponding pre-control of different tooth profile modification is analyzed. The optimized non-interference three-dimensional spatial tooth profile modification method is proposed, which effectively reduces its transmission error.","PeriodicalId":159554,"journal":{"name":"Volume 10: 2019 International Power Transmission and Gearing Conference","volume":"15 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":"127766558","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}