NDLI: Elliptic grid generation of spiral-bevel pinion gear typical of oh-58 helicopter transmission

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Elliptic grid generation of spiral-bevel pinion gear typical of oh-58 helicopter transmission

Content Provider	NASA Technical Reports Server (NTRS)
Author	Kaul, Upender K. Huff, Edward M.
Copyright Year	2002
Description	This paper discusses the source term treatment in the numerical solution of elliptic partial differential equations for an interior grid generation problem in generalized curvilinear coordinates. The geometry considered is that of a planar cross-section of a generic spiral-bevel gear tooth typical of a pinion in the OH-58 helicopter transmission. The source terms used are appropriate for an interior grid domain where all the boundaries are prescribed via a combination of Dirichlet and Neumann boundary conditions. New constraints based on the Green's Theorem are derived which uniquely determine the coefficients in the source terms. These constraints are designed for boundary clustered grids where gradients in physical quantities need to be resolved adequately. However, it is seen that the present formulation works satisfactorily for mild clustering also. Thus, a fully automated elliptic grid generation technique is made possible where there is no need for a parametric study of these parameters since the new relations fix these free parameters uniquely.
File Size	436040
Page Count	14
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20020033871
Archival Resource Key	ark:/13960/t28965370
Language	English
Publisher Date	2002-02-01
Access Restriction	Open
Subject Keyword	Mathematical And Computer Sciences (general) Neumann Problem Elliptic Differential Equations Green's Functions Gear Teeth Spiral Bevel Gears Oh-58 Helicopter Boundary Conditions Computerized Simulation Grid Generation Mathematics Transmissions Machine Elements Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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