dC::deviation from concentricity dL::deviation fron longitudinal position (tool length) dA::tolerance range of cone mating angle dA/dt::cone wear factor Tg::load torque applied normal to cone (rotation) axis (taper guage line=center of torque?) P::load (Pressure, tension) along (cone) axis of rotation TT (bold letter T)::vector representing specific cutter geometry/material M::(vector?) machinablity figure of merit for billet, given cutter material of TT S::rotation rate around cone axis
alot of video games incorporate a physics model basis for the coordinated movements of player avatars. perhaps the tangible world of substantial stuff made of atoms is just not cost effective to precisely simulate. --- On Mon, 4/9/12, Kent A. Reed <knbr...@erols.com> wrote: > From: Kent A. Reed <knbr...@erols.com> > Subject: Re: [Emc-users] machine tool tapers > To: "Enhanced Machine Controller (EMC)" <emc-users@lists.sourceforge.net> > Date: Monday, April 9, 2012, 6:22 AM > On 4/9/2012 8:01 AM, Viesturs Lācis > wrote: > > 2012/4/9 charles green<xxzzb...@yahoo.com>: > >> i wonder if there is any math out there on the > ideal taper form, given its use in specifed materials and > load conditions? > > Ohh, conical fits (I hope that is the correct > translation) is the > > thing we have been discussing in university lately. > > Answer to Your question is: No. Because You skipped > another (and IMHO > > the most important) factor: specific use-case also > applies. > > What I mean - the angle of taper determines: > > 1) how well both parts are centered each to other - the > smaller angle, > > the better centering; > > 2) how much will the distance between bases of both > cones change as > > the surfaces of cones wear off - the larger the angle, > the smaller the > > distance, > > tolerances on each cone also will increase the > tolerance of the fit > > dimensions for smaller cone angle values; > > > > So larger angle improves one, the smaller angle > improves the other, so > > the optimum value lies somewhere inbetween, changing in > different > > situations. That is why there is not the one and only > answer (which is > > also my answer to Your original question). > > The way I see it now is that the load and material will > determine > > mostly the diameter (and length) of the taper, but the > application of > > particular mechanism (required precision of assembly > etc) is the main > > factor to determine the angle value. > > > > Viesturs > > > > > > Nice argument as far as it goes, Viesturs, but it doesn't > address what I > was taught lo these many years ago by a practicing machinist > and which I > find echoed in my Machinery's Handbook. > > He divided the world of tapers into two classes: > self-holding and > self-releasing. > > The self-holding tapers have small enough angles of taper > for friction > along the tapered surface of the joint to reliably resist > the torque > transmitted from the tool. That same friction makes it > difficult to > release the taper from its socket. > > The self-releasing tapers have large enough angles of taper > to allow > easy removal but require some other means to lock the taper > in place so > it won't slip when torque is applied. > > Presumably only the self-holding tapers would be subject to > the kind of > wear you mention in 2). I suspect the differences within > this class were > due as much to the need to work around patents as to any > thought of > optimization. > > As for the discussion about the varying angles of taper on > the various > Morse tapers, concensus of the sources I read is that Morse > just wasn't > that good with his metrology. Once a mistake is propogated > into practice > through industrial standards, it takes on a life of its > own. > > Regards, > Kent > > > ------------------------------------------------------------------------------ > For Developers, A Lot Can Happen In A Second. > Boundary is the first to Know...and Tell You. > Monitor Your Applications in Ultra-Fine Resolution. Try it > FREE! > http://p.sf.net/sfu/Boundary-d2dvs2 > _______________________________________________ > Emc-users mailing list > Emc-users@lists.sourceforge.net > https://lists.sourceforge.net/lists/listinfo/emc-users > ------------------------------------------------------------------------------ Better than sec? Nothing is better than sec when it comes to monitoring Big Data applications. Try Boundary one-second resolution app monitoring today. Free. http://p.sf.net/sfu/Boundary-dev2dev _______________________________________________ Emc-users mailing list Emc-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/emc-users
