Contact problem of gears using Overhauser splines
type: Item
instance of: scholarly article
title: Contact problem of gears using Overhauser splines
zbMATH Open document ID: 0985.74075
DOI: 10.1016/S0020-7403(98)00073-3
author: S. Ulaga
author: M. Ulbin
author: Joze Flasker
published in: International Journal of Mechanical Sciences
publication date: 2000-03-07T00:00:00Z
review text: This paper present a numerical technique which provides more accurate contact stress predictions than other known methods. The novel contact deflection algorithm is developed by combining the finite element method with Overhauser splines. The contact area is approximated by Overhauser spline interpolation functions over boundary nodes, which results in a smooth geometrical description -- the fact crucial to the accuracy of contact stress analysis. A one-parametric family of curves is used to model the conctacting surfaces, providing the \(C^1\) boundary continuity and exact boundary conditions. The authors describe the implementation of the corresponding finite element code, and discuss benefits and drawbacks of the proposed approach.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74M15
zbMATH DE Number: 1389194
zbMATH Keywords: gear
zbMATH Keywords: boundary condition
zbMATH Keywords: contact stress
zbMATH Keywords: contact deflection algorithm
zbMATH Keywords: finite element method
zbMATH Keywords: contact area
zbMATH Keywords: Overhauser spline interpolation
zbMATH Keywords: one-parametric family of curves
reviewed by: Jan Lovíšek
MaRDI profile type: Publication
full work available at URL: s0020-7403(98)00073-3
OpenAlex ID: W2005736929
Recommended article: Algorithms for analysis of meshing and contact of spiral bevel gears
Recommended article: Investigation of Gears Using an Elastic Multibody Model with Contact
Recommended article: On the contact stress analysis of spur gears using variational inequalities
Recommended article: Contact characteristics of spherical gears
Recommended article: Solutions of the Equation of Meshing for Planar Gear Profiles
Recommended article: Q3588218
Recommended article: Geometric contact pattern estimation for gear drives
Recommended article: Direct analytical solution of the inverse gear tooth contact analysis problem
Recommended article: Computerized determination of singularities and envelopes to families of contact lines on gear tooth surfaces
Recommended article: Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact
description: scientific article; zbMATH DE number 1389194