Derivation of a General Relation Governing the Conjugacy of Scroll Profiles
James W. Bush, W. P. Beagle · Purdue e-Pubs (Purdue University System) · 1992
A number of geomdric curves bave been ual in tbe JIISl to fonn tbe WOlting SUifaces of scroll madlines.These illclude involutes of circles, segmems of arcs, IIIII IIIOdified Ardumedes spinls.Wbile these may wort Sllisflctorily, 110 general rule exists in tbe literaCure governing wbll type of sudices may be approprilte for tbis .pplication.In tbis ~, tbe • gmeral rcq~ fur mgupcy of scroll surfKes is defined.This is tben used to derive a n=lation which may be UliCid to geocntc c::oojuglte surl'lces of a gencnl funD.Subsidiary n=lations govenWl!displacement volume arc givm and the conjugac;y test is applied to historical scroll fornls, iDcl~ the Slmdin!vue roc.ryWmpiCSSUI. INTRODUcnONWe typicllly cralit l1oo Creul wid! tbe iDveotioll of the scroll-lype macbiDe, based on bis u.s.pueot of 1905 (1).This is pmgps tbe single liiOSl-cited reference ill scrollliffnblre.His choice of tbe iJrvolute of a cin:le fur bis scroll vme fona bas endured to the pracDL All wmmc:rcially available scroll-type liildliDes known to tbc authors use tbis type of scroll wnp