LAST EDITED ON Dec-03-04 AT 09:01 PM (CST) Tom,
Maybe we are finally making some progress here. You have taken a few statements of mine and commented, now I will return the favor.
>Wow - a lot here. I have read every post in these threads
>(although my eyes did glaze over when the force diagrams
>came up) and I would beg to differ on a number of points.
>
>1. "First, I have not said anything about how you write,
>or made any comments about your grammer or spelling."
>No, but a lot of people did say that about Jim, and he
>didn't directly accuse you of doing it, anyway.
Granted, he did not directly accuse me of so doing. However, he did post the comment in reply to my post. And he has also previously told me to "think smart, not act smart", which I took as a big put down. And he also included me with several other names including Bill Netzeband as having "half fast" ideas regarding various concepts and technical matters with these toy airplanes of ours and I consider that a complete, inappropriate and monumental put down of Bill Netzeband which is totally uncalled for.
>2. "I am saying that the CG determines were the leadouts
>are to be located."
>Agreed, and that is why many of us have admitted being
>wrong. However, that statement gets a little tweaked as you
>go on.
>
>3. "... the CG will align itself with the leadout
>position under static conditions. (Other factors in the
>dynamics of flight and maneuvering will affect the yaw of
>the model, but that is not the question here.)"
>The question was always about the dynamics of flight. The
>discussion became deflected as blanket statements were made,
>then attempts to bring up the complicated forces in play
>during flight were ridiculed, and made to seem trivial.
>Jim's question always centered around the bellcrank, and
>therefore leadout location, with respect to his observation
>of "walking" and "the hula" during flight.
Perhaps you believe that the question has always been "about the dynamics of flight". However, in the comments that I have made, I have tried to qualify what I was saying by explaining that the CG will line up with the leadouts, regardless of bellcrank position was always with respect to static conditions. As soon as you introduce the dynamics of flight, including rudder and engine offset, fuselage design, assymetric loading which is always present on the wing and flaps in our circular flight, line drag, and the variables of maneuvers in different planes on the surface of our himisphere will all have some affect on the actual yaw angle of the aircraft in flight. It is still usefull to understand that the position of the bellcrank has no affect on the yaw angle that the aircraft takes while in flight assuming that the CG is fixed to the desired trim position.
>
>As the discussion continued, several attempts at
>static experiments were conducted. By my count, at
>least 4 of these experiments were tried. Out of the four,
>the first was an outright visual trick (Howard's), Igor's
>didn't even include bellcrank, separate leadouts, an engine
>or tail on the plane, and Dick's and Jim's were admittedly
>skewed because of light weight (cardboard, 1/2A scaling).
>Three of four of those experiments appeared to initially
>support the argument that bellcrank location made a
>difference.
>
>To fuel the discussion further, the outright visual trick
>example was the only one that appeared to use a
>legitimate plane with realistic features and weight.
>
Actually, a "legitimate plane" is not required to demonstrate the static conditions to show that the CG will always line up with the leadouts. The concept can be demonstrated with a device that includes an item that represents a "leadout guide, a mass that represents a physical body with a center of gravity that can be located, and an attachment point somewhere on that mass with a tether that goes throught the "leadout guide" that can suspend the entire fixture. Change the attachment point and the CG will still align with the leadouts. Change the CG location, and the device will shift to align the CG with the leadouts. Change the leadout position and the device will again shift to align the CG with the leadouts. That is all that I have been trying to explain as has been explained for the last 40 years.
>So the discussion grew among those who have never been privy
>to the mulititude of previous articles, the other
>experiments you cite, and most importantly, the cultural
>understanding. At least for myself, all of this reflected
>badly on the newbies and others returning to the sport, who
>thought we at least had a handle on fundamentals.
>
Thanks for showing you have an open mind.
>4. "If you move the bellcrank rearward, it would require
>a slight addition of weight to the nose (or conversely,
>remove weight from the tail) to keep the CG in the original
>position. As soon as you balance your model to the original
>CG, there will be NO change to the yaw angle due to the
>relocated bellcrank."
>Your statements above are the first time I've seen anyone
>try to clearly state, "The weight of the bellcrank will
>affect the CG of the very light airplane when moved." Even
>then, it was not very clear. If we keep saying that moving
>the bellcrank will affect the CG, that does not necessarily
>mean that the bellcrank location has no effect.
>
The very light models and the very light cardboard representation are very sensitive to shifts in CG by moving the bellcrank hardware including the weight of the leadout material. Indeed, in the photographs that have been posted, the yaw angle shifted. But the shift was due to the repositioning of the CG. If the CG was maintained by rebalancing the model to its original location with the changed bellcrank position, the yaw angle would not change, thus the statement still holds that the CG lines up with the leadouts, independent of the bellcrank position.
>Without making too fine a point of it, if the bellcrank
>location results in altering the leadout position with
>respect to CG, then the bellcrank location will have an
>effect. If we're discussing the absolutes of analysis, that
>could be viewed as a ridiculous statement, but in the
>practical sense it is not.
See my comment above.
>Most kits, plans, and designs
>base the leadout position based in some respect to the
>bellcrank location.
Here, I will beg to differ. The plans for a well designed stunt ship that has been properly trimmed will show the leadouts to be placed with respect to the CG determined for that design to work best. (This assumes of course that the plans actually represent the the optimum location of the leadouts as determined by flight test.) If you want to make a general statement, it would be revealing to first examine a number of proven designs by the top designers (again, assuming they are sharing their experience in trimming the model including the position of the optimum CG for that design). I think you will find that the leadouts are positioned very close to a location suggested by the equations and nomographs generated by Bill Netzeband in the 1970's after he took a lot of work by Pete Soule who quantified a lot of information regarding line drag and the shape of the lines during flight (a cantenary curve). From all of that work, it is fairly easy to establish, within a very small tolerance, the line rake, or postion of the leadouts with respect to the CG. It matters not where the bellcrank is in any of these calculations. If you understand this, you are starting to understand what several people have been trying to explain for the past 40 years on this subject.
>5. "The recommendation to a less experienced modeler
>should be to locate the leadouts according to where the CG
>is. It makes no difference where the bellcrank is
>located."
>I disagree. It seems that the entire discussion has arrived
>at the conclusion that the bellcrank should be
>located at the CG - at least as close as structure will
>reasonably allow - not the leadouts. Look at any older plan
>that does not have adjustable leadouts. The leadouts do not
>line up with the CG. They line up in a perpendicular
>opposition to the line of thrust, with some "guessed" amount
>of rake to account for line tension, drag, and other
>aerodynamic forces. That's why the more experienced modeler
>came up with adjustable leadouts in the first place.
>
Here is where the difference comes in when we start talking about the static situation of the CG wanting to align with the leadouts. When we talk about the the optimum leadout position while flying through our pattern, a whole different set of factors are introduced. An initial adjustment for the "design location" of the leadouts for the stunt model that is to be flown can be made by calculations developed by Soule and Netzeband based on model weight, speed, line length, and line diameter. The desired line rake angle can be fairly well calculated and has resulted in being able to generate some general "rules of thumb" based on type and size of model. But again, that location of the leadouts for dynami flight is determined by a whole list of factors, not one of which is bellcrank location.
>More often than not, in the typical stunt design, the rear
>line of the bellcrank is perfectly perpendicular to the
>plane's thrust line. The front line of the bellcrank is
>then swept back with respect to the rear line. Altering the
>bellcrank location significantly will demand a conscious
>decision by the builder about where to locate the leadouts.
Not so.
>Whether the leadouts go back, forward, or straight from that
>point will matter greatly, and it no longer becomes
>"intuitively" obvious to the less experienced modeler.
I think you have almost grasped the idea. I am not sure what you are trying to say with the above statement. Except for the wear on the leadout guides and almost negligible drag/friction of the lines at the leadouts when the bellcrank is located a "significant distance" from the CG, it makes no difference and it does not "matter greatly" if the leadouts wires go back, forward or straight from the leadout guide to the bellcrank.
It all boils down to what most have already said: It still makes sense to place the bellcrank at or reasonably close the the desired CG of the model. But not doing so will NOT affect how the model flies regarding the yaw angle the model assumes while in flight.
(Now, I can throw in a whole new bucket of worms that has not been mentioned in any of these threads. Moving the bellcrank any significant distance from the CG will result in a change in the geometry of the control system and there will be a change in the way the bellcrank imparts the up and down movement to the control surfaces based on input from the pilot's hand and handle. I do not know what extremes must be reached before this difference is noticable, even with the most experienced flyer, but there will be a point when this can and will happen. I would guess that the several "golden arms" in this event will feel this difference on a "finely tuned competitive model" if the bellcrank pivot location starts to approach a position near or in front of the leading edge or near to slightly ahead of the trailing edge (of a conventionally configured model). I cannot post a diagram of what I am trying to explain. Rather than me trying to generate a word picture, simply draw a diagram of a bellcrank in each of these locations and see what happens to the way the bellcrank rotates for a given input from the control lines. In this context, it makes sense to mount the bellcrank at or near the CG. But the fact that the yaw angle of the model does not change, for a given CG location, regardless of the position of the bellcrank.)
(Edited for correcting a type where a significant word ("NOT") was left out of a sentence above.)