Tooth Contact Analysis Of Orthogonal Variable Transmission Ratio Face Gear

Orthogonal variable transmission ratio face gear drive is proposed as a new type ofgear drive with variable ratio between intersecting axes based on the study ofnon-circular bevel gear drive. It incorporates the characteristic of non-circular gears,noncircular bevel gears and face gears. This gear drive can be used to transmitmovement and motion between intersecting axes which has potential applicationprospect can be applied to engineering machinery, farm machinery, textile machinery,automobile and so on. Therefore, the research is of theoretical significance to researchon orthogonal non-circular face gear drive.The tooth contact analysis of the orthogonal variable transmission ratio face gear isan effective means of in-depth study it’s meshing characteristics. The size of the contactarea, shape and position reflects not only manufacturing precision of the single gear, atthe same time, it reflects the installation and transmission accuracy of the gear pair, ithas a significant effect on carrying capacity, service life, noise, the transmission qualityand efficiency of the gear. Starting from the meshing theory of the orthogonal variabletransmission ratio face gear, this paper performed the tooth contact analysis of theorthogonal variable transmission ratio face gear by use of numerical methods, andfurther studied it by use of the finite element method and experimental method and itwill become the reference of the parameter design and practical engineeringapplications for the orthogonal variable transmission ratio face gear. The main contentsare as follows:First, based on the principle of space gear and differential geometry and otherrelated theory, the basic driving principle of the orthogonal variable transmission ratioface gear pair is studied and the coordinate system is established. Meanwhile, theparametric equations of pitch curve, addendum curve and dedendum curve werededuced. Furthermore, the parametric equation of tooth surface of the non-circular gearand face gear were obtained by combining the parametric equation of cutter’s toothsurface and conjugate tooth profiles theory. The minimum inner radius and themaximum outer radius of the orthogonal variable transmission ratio face gear werecalculated and the reasonable value of its wide range of tooth is determined. On thisbasis, parametric design and process simulation system of the orthogonal variabletransmission ratio face gear pair were developed based on VB and Solidworks (API),thus，parametric design and three-dimensional modeling of orthogonal variabletransmission ratio face gear pair is achieved.Second, based on the tooth contact analysis principle, the tooth contact Analysismethod of the orthogonal variable transmission ratio face gear was first established.Nonlinear equations of the contact model were solved by using Matlab programming,thus, the tooth contact analysis visualization was achieved. The orthogonal variabletransmission ratio face gear pair with two-point contact and line contact is exploredrespectively and in both cases the theoretical line on the contact tooth surface andtheoretical point are completed visualization.Third, the tooth contact analysis model of the orthogonal variable transmissionratio face gear pair is established and then tooth surface contact characteristics with andwithout considering the installation error were analyzed by using the finite elementmethod and the influence of installation error on contact is summarized based on theanalysis. A momentary contact of a cycle is obtained by dynamic contact analysis of acycle of the orthogonal variable transmission ratio face gear pair. Meanwhile, theorthogonal variable transmission ratio face gear pair’s instantaneous line contact theoryis verified.Forth, a gear component in which the orthogonal variable transmission ratio facegear pair is regarded as the main drive is designed and fabricated. Rolling check test ofthe orthogonal variable transmission ratio face gear pair is finished and the test resultsfurther validated the correctness of theoretical calculations also verified the correctnessof the results of finite element. Furthermore, the transmission test of orthogonal variabletransmission ratio face gear drive was also performed on the experimental bench.Finally, the correctness and feasibility of its design method and manufacture theory wasverified according to the relative analysis between experimental result and theoreticalarithmetic result, laid foundation of theoretical principle for the practical application oforthogonal variable transmission ratio face gear drive.This study is supported by the National Natural Science Fund Project " designtheory and manufacturing technology research of variable transmission ratio face gearmeshing transmission "(Fund No.:51275537).