A combined surface integral and finite element solution for a three‐dimensional contact problem

Abstract

SUMMARYA method is described to determine contact stresses and deformation using a combination of the finite element method and a surface integral form of the Bousinesq solution. Numerical examples of contacting hypoid gears are presented.

Influence of Carrier and Gear Manufacturing Errors on the Static Load Sharing Behavior of Planetary Gear Sets

“…However, they cannot easily model the shape of the gear teeth. The model used in this study (15) is based on the use the FE models only to compute relative deformation and stresses for points that are away from the contact zones. For points within the contact zone, we use semi-analytical techniques to compute the relative deformations and stresses.…”

The Study on Excitation Responses of a Multi-stage Planetary Gearing

“…A similar process is applied for the ring-gear mesh. Dynamic stiffness and mesh forces are shown in Figure 4 [8] . The gearing has two sets of natural frequencies and modes: (1) distinct modes in which all the components of the system rotate; (2) degenerate modes in which the sun gear, ring gear and carrier of planets do not rotate, only the planets rotate.…”

Gearbox Reliability Collaborative Analytic Formulation for the Evaluation of Spline Couplings

“…FE analysis calculates far-field elastic deformations starting a small distance away from the contact area. Matching of the contact deflections and FE solutions at the matching surface yields a combined contact solution for near-field surface deformations [24,25]. This FE model calculates tooth load share, load distribution, tooth deformation, contact stiffness, and contact stress.…”