CTE

vicenterc at comcast.net vicenterc at comcast.net
Tue Dec 2 04:10:31 AKST 2003


Fact: On both my Focus and the Hydeout the trim changed from warmer to colder days.  Probably around 3-4 clicks.  

Vicente Bortone
> OK, I'll take a shot at it.
> 
> Using the coefficient of thermal expansion that Gray suggested for 
> fiberglass of 6.5E-6 in/in F with a 50 degree F temperature swing and 
> a 40" equivalent fuselage length (really pushrod length since we're 
> assuming the pushrod is carbon fiber with a coefficient of thermal 
> expansion of zero) I get the same differential expansion of 0.013" 
> that Jeff did.  Using a large MK horn (~1-1/4" height) and a 1/2" 
> thick elevator leading edge yields a hinge point to pushrod 
> attachment point distance of 1.5".  Taking the arcsin(0.013/1.5) = 
> 0.49 degree elevator deflection!
> 
> Guys, half of a degree trim change on an elevator is a lot!
> 
> I can't state it in terms of how many clicks of trim that is (that 
> would depend on how your [digital] trim sensitivity is set), but I 
> can tell you that most of my planes are set up with +/- 10 to 12 
> degrees of elevator throw.  When using my laser system to set up the 
> surface deflections using the radios endpoint adjustment the best 
> resolution I see at the surface is ~0.075 to 0.1 degree.  The laser 
> system is accurate to somewhat better than 0.05 degree (1/20th of a 
> degree), but the scale can only be easily interpolated to that.  That 
> equates to ~ 5 to 7 bits of command resolution to trim out (assuming 
> that you can set your radio's digital trims to output one bit per 
> trim input).
> 
> Disclaimer:  YMMV
> 
> Let's digress a bit.
> 
> [Note to Robert Gainey:  The "Geek Alert" is now in effect!]
> 
> Why is the servos resolution worse than the command resolution?  If 
> you set your ATV to 150% and your servo moves +/- 45 degrees your 
> servo has a max resolution of 90 degrees/1024 bits = 0.088 
> degrees/bit.  So we're really servo limited.
> 
> Lets look at this another way.  If you have a 10 bit resolution 
> system (1024 steps) and you are using 2/3rd's of your resolution (on 
> a JR that'd be equivalent to leaving your trace rate set at 100%) to 
> drive your surfaces +/- 15 degrees the minimum theoretical surface 
> deflection you could command is 0.044 degrees/bit.  But as shown 
> above your servos are only good to ~ 0.09 degrees at the servo output 
> wheel, or about half of the command resolution.  Again, we're limited 
> by the servo resolution.
> 
> Jim Oddino, you out there?  Wanna check my numbers?
> 
> Jerry
> 
> 
> >Well, easier said than done! I thought I'd just measure the linear motion,
> >but there doesn't seem to be a reproduceable method. Probably have to go to
> >one of those pointer methods to scale up the motion to get an accurate
> >measurement.
> >
> >
> >----- Original Message -----
> >From: Jeff Hughes <jhughes at hsonline.net>
> >To: <discussion at nsrca.org>; <discussion at nsrca.org>
> >Sent: Monday, December 01, 2003 12:01 PM
> >Subject: Re: CTE
> >
> >
> >>  Easy enough to check. Tonight I'll measure one click on a typical
> >>  futaba set up. (I know it will also depends on arm orientation (servo
> >>  motion is rotational converted to linear) and arm length). But at
> >>  least it will be a ball park.
> >  >
> >>
> >  > > ----- Original Message -----
> >>  > From: "george kennie" <geobet at gis.net>
> >>  > To: <discussion at nsrca.org>
> >>  > Sent: Monday, December 01, 2003 1:11 PM
> >>  > Subject: Re: CTE
> >>  >
> >>  >
> >>  > > If a digital servo moves one increment of it's total resolution
> >>  with each
> >>  > > click of the trim lever, then .013 is equal to about 39 clicks of
> >>  your
> >>  > > trim. Maybe enough to do a big loop?
> >>  > > Probably no where near the realityof the actual, but I'll still
> >>  bet there
> >>  > > are a lot of clicks involved to move your elevator .013 ( I'm
> >>  betting more
> >>  > > than 10 and probably close to 20). I'm assuming, of course, that
> >>  you have
> >>  > > your trim rate adjusted to it's smallest value.
> >>  > > G.
> >>  > >
> >>  > > Jeff Hughes wrote:
> >>  > >
> >>  > > > I stayed out of this thread earlier. But if you run the numbers
> >>  for a
> >>  > > > 50 degree temp swing, your only talking 0.013" of differential. I
> >>  > > > doubt if someone is noticing that. Probably the horsepower
> >>  difference
> >>  > > > over a 50 degree swing makes more difference in how the plane is
> >>  > > > flying.
> >>  > > >
> >>  > > > > Nat
> >>  > > > >
> >  > > > > > I was gone last week....The CTE for balsa will change with the
> >>  > > > density of
> >>  > > > > the balsa it self, but as you have noted, humidity plays a
> >>  larger
> >>  > > > part
> >>  > > > > here in expansion and contraction. This is not a factor with
> >>  the
> >>  > > > composite
> >>  > > > > pushrods.
> >>  > > > >
> >>  > > > > I am not as inclined as Jason was to read all those emails
> >>  while I
> >>  > > > was
> >>  > > > > gone, but in short CTE is not so much a problem as is the mis
> >>  > > > matched CTE,
> >>  > > > > in this case the carbon fiber pushrod vs. the fiberglass
> >>  fuselage. I
> >>  > > > have
> >>  > > > > not run the calculations but anyone interested assume the CF
> >>  rod to
> >>  > > > have a
> >>  > > > > CTE of zero, then the fuselage to have a CTE of 6.5 X 10-6
> >>  in/in F.
> >>  > > > I
> >>  > > > > would imagine that if you set your trim at 100F then flew in
> >>  > > > December at
> >>  > > > > 50F you may have one or two clicks of trim to compensate.  The
> >>  > > > original
> >>  > > > > post asked about storage down to zero F. In reality the servo
> >>  arm or
> >>  > > > > elevator would just move with the cold contraction.
> >>  > > > >
> >>  > > > >
> >>  > > > >
> >>  > > > > Gray Fowler
> >>  > > > > Principal Chemical Engineer
> >>  > > > > Composites Engineering
> >>  > > > >
> >>  > > > >
> >>  > > > >
> >>  > > > >
> >>  > > > > "Nat Penton" <natpenton at centurytel.net>
> >>  > > > > Sent by: discussion-request at nsrca.org
> >>  > > > > 11/24/2003 09:24 PM
> >>  > > > > Please respond to discussion
> >>  > > > >
> >>  > > > >
> >>  > > > >         To:     <discussion at nsrca.org>
> >>  > > > >         cc:
> >>  > > > >         Subject:        CTE
> >>  > > > >
> >>  > > > >
> >>  > > > > Gray what is the CTI for balsa ? I have carbon push rods /
> >>  balsa
> >>  > > > fuse and
> >>  > > > > my elev trim moves around considerably. I suppose it is
> >>  because of
> >>  > > > > humidity variation between the shop and outdoors ?? The
> >>  pushrods are
> >>  > > > 50"
> >  > > > > > long.      NatPenton
> 
> -- 
> ___________
> Jerry Budd
> mailto:jbudd at qnet.com
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