Transmission Error Of Gear Pair Research Articles

Centrifugal stiffening analysis of gear pair with generalized component mode synthesis and semi-analytic contact technique

Cantilever beam assumption is widely used to estimate gear flexibility for analytical calculation of transmission error of gear pair. Similar to the rotating beam, it is supposed that centrifugal stiffening will also affect dynamic transmission error of gear pair. This work presents an efficient computational procedure for centrifugal stiffening analysis of gear pair. As inertia centrifugal force is distributively applied on gear body, the finite element grid model of gear pair is firstly established. Then, in order to reduce large number of degrees of freedom in finite element grid, the generalized component mode synthesis is employed to establish dynamic equation of flexible gear with constant mass matrix and co-rotated constant stiffness matrix. In order to avoid highly refined grid near contact zone, the semi-analytic contact technique which incorporates advantage of penalty method and Lagrange multiplier method is employed to calculate contact force between non-matching sparse tooth face meshes. After transforming system dynamic differential algebraic equation into ordinary differential equation, dynamic contact analysis of a helical gear pair is carried out, and dynamic transmission error at different rotational speeds are compared. Inflation deformation of gear under inertia centrifugal force is shown as explanation for influence of centrifugal stiffening on dynamic transmission error.

Torsional Vibration and Bifurcation Characteristics of Automotive Main Reducer Based on Nonlinear Hybrid Model

In the view of integrating dynamics of systems with dynamics of structures, the pinion shaft of automobile main reducer is divided into several torsion rod elements to establish its dynamic model, while the torsional vibration dynamic model of hypoid gears is still built with lumped mass method, thus the hybrid dynamic model of automotive main reducer is obtained by the combination of two kinds of dynamic models. Considering the nonlinear factors such as time-varying mesh stiffness, backlash and static transmission error of gear pairs, Runge-Kutta method is applied to obtain the time domain spectrum, spectrum graph, phase-plane diagram, Poincaré maps, and bifurcation diagrams of the system. The dynamic response characteristics of system with different parameters such as input rotational speed and mesh stiffness are systematically investigated by numerical simulations.

Analysis of nonlinear local contact deformation of gear pair using multilevel multi-integration method

For the non-conforming contact problem of spur and helical gear pair, the total deformation of gear pair is usually separated into a linear global term and a nonlinear local term. To calculate the local contact deformation, the Hertz solution is widely used while lubrication is ignored. In order to account for the effect of elastohydrodynamic lubrication, the local contact deformation of helical gear pair is calculated on the basis of multilevel multi-integration method in this work. Through comparison with results obtained by analytical method and general numerical integration method, the effectiveness of the presented method is verified and it lays foundation for further analysis of transmission error of gear pair.

High-speed BEV Reducer NVH Performance Optimization and Experimentation

To solve the common rattle and whine issues in high-speed BEV reducer, this article aims to calculate and analyze the NVH performance of the reducer by using MASTA. By optimizing gear macro geometry and micro geometry to reduce the transmission error of gear pair which plays a decisive role in the common rattle and whine. By using MASTA, import the macro and micro geometry parameters of the gear pairs of the reducer. And using ABAQUS/CAE to preprocessing reducer housing, differential housing etc. and import them to MASTA. And then, assembly those components together to simulate the reducer as precise as possible. The system stiffness matrix and mass matrix are calculated which is strongly concerned to the NVH performance of the reducer. This article analyzed the assembly vibration model by calculating the assembly stiffness matrix and mass matrix and optimized the gear pairs’ parameters to reduce the transmission error of the gear pairs. And compared the optimized reducer with the original reduce in the same conditions, to make sure that the optimization is work. And so get the experience to control the NVH performance from the research. And according to these experiences, instruct engineers to design reducers that meet the harshness requirements of NVH to optimize the performance of speed reducer assembly.

Transmission characteristics of injection moulded polymer spur gears: experimental and numerical evaluation

The transmission characteristics of gears are the functional requirement when the gears are used for precision motion applications such as robotics, actuators of satellite launchers, etc. In the present study, a test rig has been developed to simulate steel-polymer gear mesh and measured static transmission errors at various roll angles for different loading conditions. Multi tooth gear pair was considered and finite element method was adopted to evaluate static transmission error and gear mesh stiffness at different loads. From the evaluated path of contact, premature and extended contacts were observed due to less stiffness of polymer gear tooth. The results obtained through numerical simulations were compared with experimental results and found to be in good agreement. The difference between polymer and steel gear tooth stiffness, contributes to the non-uniform gear mesh stiffness/static transmission error both at single and double tooth contact regions. The roll angle and static transmission error of gear pair were found to increase with load.

Evaluation of handle rotational feeling in fishing reels using a bone conduction speaker based on transmission error of gear pairs and predication by MT system

Evaluation of handle rotational feeling in fishing reels using a bone conduction speaker based on transmission error of gear pairs and predication by MT system