Abstract
The mesh model and mesh stiffness representation are the two main factors affecting the calculation method and the results of the dynamic mesh force. Comparative studies considering the two factors are performed to explore appropriate approaches to estimate the dynamic meshing load on each contacting tooth flank of spiral bevel gears. First, a tooth pair mesh model is proposed to better describe the mesh characteristics of individual tooth pairs in contact. The mesh parameters including the mesh vector, transmission error, and mesh stiffness are compared with those of the extensively applied single-point mesh model of a gear pair. Dynamic results from the proposed model indicate that it can reveal a more realistic and pronounced dynamic behavior of each engaged tooth pair. Second, dynamic mesh force calculations from three different approaches are compared to further investigate the effect of mesh stiffness representations. One method uses the mesh stiffness estimated by the commonly used average slope approach, the second method applies the mesh stiffness evaluated by the local slope approach, and the third approach utilizes a quasistatically defined interpolation function indexed by mesh deflection and mesh position.
Highlights
Spiral bevel gears are commonly used in power transmission between intersecting shafts but often suffer from fatigue failures caused by excess dynamic loads. e estimation of dynamic loads carried by each pair of teeth in contact lays the root for analyses of bending and contact stresses of gear teeth, gear tooth surface wear, and lubrication performance between the mating tooth flanks, which are all effective ways to investigate the mechanism of gear failures
Two critical factors influencing the calculation of dynamic mesh force (DMF) for spiral bevel gears, i.e., the mesh model and the mesh stiffness representation, have been investigated
As the difference between the kinematic transmission error (KTE) of a tooth pair and the loaded transmission error (LTE) of a gear pair represents the actual deformation of the tooth pair caused by the load it bears, instead of the KTE of a gear pair which is commonly used in the single-point and multipoint coupling mesh models, the KTE of a tooth pair is applied in the mesh model of a tooth pair (MMTP) for the calculation of the mesh stiffness of individual tooth pairs, the identification of tooth contact, and the estimation of dynamic mesh deflection of each pair of teeth in contact. e mesh parameters and dynamic responses are compared between the proposed model and the mesh model of a gear pair (MMGP)
Summary
Spiral bevel gears are commonly used in power transmission between intersecting shafts but often suffer from fatigue failures caused by excess dynamic loads. e estimation of dynamic loads carried by each pair of teeth in contact lays the root for analyses of bending and contact stresses of gear teeth, gear tooth surface wear (pitting and scoring), and lubrication performance between the mating tooth flanks, which are all effective ways to investigate the mechanism of gear failures. Represents the effective mesh point, line of action, and mesh stiffness of each mesh interface, and the number of elements which depends on the gear rotational position and load torque indicates the number of tooth pairs in the zone of contact. Erefore, in the MMTP, the KTE of a tooth pair is applied instead of the KTE of a gear pair in the estimation of mesh stiffness and the identification of the contact for each pair of teeth It is the main difference from the multipoint coupling mesh model. Both the ASMS and LTMS can be used to calculate DMF, but the corresponding calculation formulas are entirely different
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