Results Of Tooth Contact Analysis Research Articles

A Virtual Measurement Method of the Transmission Error Based on Point Clouds of the Gear

Abstract As the most widely used gear measuring instrument, the gear measuring center can measure the individual deviations of a gear tooth flank other than the comprehensive deviations of the gear. However, gear transmission error is an important transmission performance indicator in the gear meshing process. It is an important trend of gear measuring to obtain the transmission error from individual deviations. In this study, a calculation method of gear transmission error is proposed based on the point clouds of the gear obtained by optical sensors. According to the gear meshing principle, a method is introduced to determine the contact status between the tooth flanks formed by the point clouds. According to this introduced method, the single tooth pair meshing process and the meshing process of multiple tooth pairs are analyzed to determine the gear transmission error curve. The comparison results of tooth contact analysis and gear measurement experiments verify the proposed virtual measurement method.

Rocking vibration and dynamic characteristics of a two-stage spur and bevel gear transmitting system

In this study, theoretical analysis is performed in order to investigate the nonlinear vibration response of the two-stage spur and straight bevel gears transmitting system. The system dynamic model of the transmitting system is considered in detail. The tooth contact analysis results are obtained through calculation and the dynamic model with time-varying stiffness, and backlash for both gear pair is built. The natural frequencies, mode shapes, and critical speed for the transmitting system with gyroscopic effects are calculated. The results show that the whirling motion due to the second shaft may be the main factor of vibration for the transmitting system and the lateral–torsional–axial vibration dominate the overall system vibration. Many critical characteristics cannot be represented in the transmission error, especially when the rocking and other freedoms are considered in the gear transmitting system. The rocking motion will be excited due to the coupled effect of bevel gear pair, which may be also the reason for the catastrophic damage of the thin web spur gear.

Simulation and Experimental Measurement of the Transmission Error of Real Hypoid Gears Under Load

The Transmission Error and Bearing Pattern of a gear set are fundamental aspects of its meshing behavior. To assess the validity of gear simulation models, the Transmission Error and Bearing Pattern of a Formate Hypoid gear set are measured under a variety of operating positions and applied loads. Measurement data are compared to simulation results of Tooth Contact Analysis and Loaded Tooth Contact Analysis models, and show excellent agreement for the considered test gear set. [S1050-0472(00)00901-6]

The mathematical model of Wildhaber-Novikov gears applicable to finite element stress analysis

The mathematical model and results of tooth contact analysis (TCA) of the Wildhaber-Novikov (W-N) gear are given in Ref. [1] [F.L. Livtin and C.-B. Tsay, Trans. ASME, J. mech. Trans. Auto. Des. 556-564 (December 1985)]. A finite element method (FEM), using the SAP IV package, is employed to the W-N gear stress analysis. An automatic nodal points and meshes generating (AMG) computer program has been developed. By utilizing the mathematical model of the W-N gear and the AMG computer program, nodal points and meshes for finite elements analysis can be obtained automatically. By applying the results of TCA, the location and direction of applied loading on gear teeth can be defined. Root bending stresses of pinion and gear with different loading positions have been analyzed. Effects on root stresses due to variations of fillet radius and normal pressure angle of pinion have also been investigated.