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Download the September/October 1989 Issue in PDF format - Gear ...

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nd F<strong>in</strong>e F<strong>in</strong>ish<strong>in</strong>g<br />

rt 1<br />

. -Ing, H. Sc:hrieler<br />

Munich, West Germany<br />

Dr. -ING. HERBERT SCHRIEfER is with Hurth Company,<br />

Munich, where he is technical manager for <strong>the</strong> Division of Mach<strong>in</strong>es and'<br />

Systems. He studied' at <strong>the</strong> Technische Unrvmitiit <strong>in</strong> Berl<strong>in</strong> and' worked'<br />

at <strong>the</strong> Laboratory for Mach<strong>in</strong>e Tools (WZL) at <strong>the</strong> Technische<br />

Hochschule Aachen where he developed <strong>the</strong> geometry and k<strong>in</strong>ematic<br />

part of a program sequence for bevel and hypoid' gears, This program<br />

system represents <strong>the</strong> most extensive and universal computer analysis<br />

of <strong>the</strong> runn<strong>in</strong>g and stress conditions of complex gear drives today.<br />

Introduction<br />

Profitable hard mach<strong>in</strong><strong>in</strong>g of tooth flanks <strong>in</strong> mass production<br />

has now become possible thanks to a number of newly<br />

developed production methods. As used so far. <strong>the</strong> advantages<br />

of hard mach<strong>in</strong><strong>in</strong>g over green shav<strong>in</strong>g or roll<strong>in</strong>g are that elaborately<br />

modified tooth flanks are produced witha. scatter of dose<br />

manufactur<strong>in</strong>g tolerances. Apart from an. <strong>in</strong>crease of load<br />

I cap.acity, <strong>the</strong> chief aim.is to solve <strong>the</strong> complex problem of reduc-<br />

I <strong>in</strong>g<strong>the</strong> noise generation by load-conditioned k<strong>in</strong>ematic<br />

modiJications of <strong>the</strong> tooth mesh.'us,o) In Part Il, we shan deal<br />

with operat<strong>in</strong>g sequences and mach<strong>in</strong><strong>in</strong>g results and with gear<br />

noise problems.<br />

Geometry of <strong>Gear</strong> Flanks<br />

Noise generation of teeth i.nmesh has two causes. The first.<br />

a modulation of gear mesh rigidity, (3.5.6) is ma<strong>in</strong>ly <strong>in</strong>fluenced by<br />

<strong>the</strong> implemented geometry, such as <strong>the</strong> helix and pressure angles<br />

chosen, <strong>the</strong>addendum/dedendum modification on high tooth<br />

design, etc.. and, thus .•depends only to a small extent on <strong>the</strong><br />

precision geometry of flanks via contact rigidity. (~) The second<br />

cause is mesh<strong>in</strong>g errors, (8-9) which, however, are due directly to<br />

<strong>the</strong> precision geometry of flanks asa function of <strong>the</strong> load. Fig.<br />

1shows <strong>in</strong>fluences on <strong>the</strong> geometry precision of flanks determ<strong>in</strong>ed<br />

by <strong>the</strong> load and by manufactur<strong>in</strong>g, and from <strong>the</strong> qualitat:ive<br />

viewpo<strong>in</strong>t. <strong>the</strong> relative tooth contact and generat<strong>in</strong>g<br />

behavior. (1.8.9)<br />

The left column lists <strong>the</strong> reasons for various tooth modifications.<br />

The second column shows <strong>the</strong> topological modificati.on of<br />

flanks, while <strong>the</strong> third column illustrates <strong>the</strong> tooth contact

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