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#41
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effect of changed thrust line.
In article ,
"Morgans" wrote: "Alan Baker" wrote In level flight, drag is horizontal. Engine thrust is not except at one particular angle of attack (and it is technically possible that it is never level for any angle of attack the aircraft can achieve). So drag and thrust cannot *possibly* cancel each other except at the one angle of attack. Now, you are starting to get close. You are splitting hairs, though. No. I'm understanding the situation and so far, you've not shown that you do. Airplanes are said to be a loose flying formation of compromises. In the question of thrust angle, also. Parasite drag goes up for higher speeds, induced drag goes up with higher loads. The angle of attack changes the center of lift, loading affects the center of gravity of the airplane, and the tail balances it all out, with help from the thrust angle. If your claim that thrust and drag line always canceled each other out, then that last statement would not be true, would it? Everything is designed to achieve a compromise of performance and safety, speed and comfort, and many other factors. So goes it with questions of thrust, trim and what goals you are trying to maximize. Same with this whole question. A different engine will cause a different thrust line, and changes would need to be made to keep the handling qualities approximately the same. They can never be the exact same, but an attempt can be made to keep it close. They can be kept close by keeping the change in torque about the centre of mass the same as they were in the original design... A change of 1/2 degree would be close, but the best answer will be to try it and see. Where did you get that figure? Show your work if you're going to try and be quantitative... Drag still is the paramount factor in attempting to quantify the changes that will need to be made. Once things start rotating, then they will indeed rotate around the center of mass. If the change in the angle is made successfully, there won't be any rotating going on. ;-) Yup. And in order for that to happen, you need to keep the same relationship with the centre of *mass*. :-) -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#42
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effect of changed thrust line.
In article ,
"Morgans" wrote: Let's say the engine is mounted such that it is acting through the CoM, OK? In that case, changes in thrust cannot *possibly* cause any net torque, right? Yep. Drag is not at the center of mass What does that have to do with my question? Take the air away for a moment and use a rocket. The only way to place it such that it won't cause a pitching moment is to align its thrust through the centre of mass, correct? OK, move the engine up or down, and if you reangle it to set the thrust line through the CoM, then the same situation holds true. Nope. Drag is not at the CoM Show your work or a reference... -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#43
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effect of changed thrust line.
Alan Baker wrote:
Forget all about drag for a moment: you can boil down all the forces of lift and drag -- the aerodynamic forces -- to a single force through the aerodynamic centre of pressure. Now imagine an aircraft with the engine off and the prop feathered and in a trimmed out glide. Got that pictured in your mind? Good. Okay, so far I have: air flow ---- M | P--- Where M = "center of mass," P = "center of pressure," and the arrow represents the direction and magnitude of the resultant aerodynamic force. Now: when you start the engine and add its thrust into the equation, what is the one direction in which you can apply that thrust and not cause the aircraft to pitch. Where must the axis of the thrust vector be? Well the following seems to work, where T = "a point that thrust acts through:" air flow ---- M | ---TP--- Through the centre of mass. Period. You mean this?: air flow ---- ---TM | P--- That's a couple whose only important property is its moment. Looks like the aircraft will rotate. Sure, it will rotate about the center or mass, but so what? |
#44
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effect of changed thrust line.
In article ,
"Morgans" wrote: "Alan Baker" wrote Sorry, but I can do the math in my head, and you apparently cannot. The problem is that word problems have to be set up properly. I have set it up in my head. Apparently, you can not. Take it up with this guy... http://www.av8n.com/how/htm/4forces.html Drag -- by definition -- always acts through the centre of aerodynamic pressure; which is pretty much somewhere in the main plane. When in horizontal flight, drag is horizontal, right? OK. A Cessna 150. That means the drag line is somewhere above the pilots head. So unless they've moved the engine up three feet when we weren't looking, a Cessna somehow manages to stay in the air with a thrust line that is nowhere *near* the drag line. -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#45
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effect of changed thrust line.
Alan Baker wrote:
http://www.princeton.edu/~stengel/MAE331Lecture9.pdf "Pitching Moment due to Thrust Thrust line above or below center of mass induces a pitching moment" Note: no mention of drag line... No mention of pitching moment due to elevator controls either. Does that mean elevators don't affect pitch!? You are taking a reference out of context. |
#46
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effect of changed thrust line.
In article ,
Jim Logajan wrote: Alan Baker wrote: http://www.princeton.edu/~stengel/MAE331Lecture9.pdf "Pitching Moment due to Thrust Thrust line above or below center of mass induces a pitching moment" Note: no mention of drag line... No mention of pitching moment due to elevator controls either. Does that mean elevators don't affect pitch!? You are taking a reference out of context. No, I'm not. I'm showing what what you need to consider when changing the location of an engine is keeping the thrust line in the same relationship with respect to its moment arm with the CoM. Just as if you wanted to change the size of the tail plane and keep the same control authority: you'd consider how much you need to move it in relation to the CoM. -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#47
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effect of changed thrust line.
Alan Baker wrote:
In article , Jim Logajan wrote: Alan Baker wrote: http://www.princeton.edu/~stengel/MAE331Lecture9.pdf "Pitching Moment due to Thrust Thrust line above or below center of mass induces a pitching moment" Note: no mention of drag line... No mention of pitching moment due to elevator controls either. Does that mean elevators don't affect pitch!? You are taking a reference out of context. No, I'm not. I'm showing what what you need to consider when changing the location of an engine is keeping the thrust line in the same relationship with respect to its moment arm with the CoM. That's appears to be a different claim than in your post up-thread when you claimed the one place you can apply thrust to avoid an engine pitching force is through the center of mass. Now you're saying the thrust line need not go through the center of mass, just that the new thrust line coincide with the old one. (Hopefully the original poster can find a decent book on the subject.) Just as if you wanted to change the size of the tail plane and keep the same control authority: you'd consider how much you need to move it in relation to the CoM. Um, just what is your training in the physical sciences, if I may ask? |
#48
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effect of changed thrust line.
In article ,
Jim Logajan wrote: Alan Baker wrote: Forget all about drag for a moment: you can boil down all the forces of lift and drag -- the aerodynamic forces -- to a single force through the aerodynamic centre of pressure. Now imagine an aircraft with the engine off and the prop feathered and in a trimmed out glide. Got that pictured in your mind? Good. Okay, so far I have: air flow ---- M | P--- Where M = "center of mass," P = "center of pressure," and the arrow represents the direction and magnitude of the resultant aerodynamic force. Yup. Except you're neglecting to show that this is an aircraft in a trimmed glide and thus the total aerodynamic force must be vertical and acting directly through the centre of mass. :-) Now: when you start the engine and add its thrust into the equation, what is the one direction in which you can apply that thrust and not cause the aircraft to pitch. Where must the axis of the thrust vector be? Well the following seems to work, where T = "a point that thrust acts through:" air flow ---- M | ---TP--- Yup. And if you add the thrust there to a system that is in balance, what's going to happen? Pitch up, right? Through the centre of mass. Period. You mean this?: air flow ---- ---TM | P--- That's a couple whose only important property is its moment. Looks like the aircraft will rotate. Sure, it will rotate about the center or mass, but so what? No. Your ASCII drawings aren't fine enough to show the situation broken into components, but I can show total forces... In a glide in a low wing aircraft: Total aerodynamic force (lift and drag!) ^ | | M (Centre of Mass) | C (Centre of Aerodynamic Pressure) | | Weight (no down arrow head... ...sorry) Now remember, the aircraft must be descending to make this work. Now if you add thrust at the "drag line" (the line through the CoP parallel to the aircraft's motion): Total aerodynamic force ^ | | M (Centre of Mass) | (Thrust)--C (Centre of Aerodynamic pressure) | | Weight You can align the engine any way you want and it will still create a pitch up, right? But: Total aerodynamic force ^ | | (Thrust)--M (Centre of Mass) | C (Centre of Aerodynamic Pressure) | | Weight Add the thrust at the centre of mass, and you get no pitching moment. Back to our original discussion, if the aircraft happened to be designed with the engine installed for zero pitching moment, then if have to change the height of the prop with a different engine, what you need to do is change the angle so that it once again points back through the CoM. And similarly if you want the same pitch response with changing throttle as an engine mounted such that it has moment arm with respect to the centre of mass, then you want to keep *that* moment arm the same in order to make the aircraft's flying characteristics stay the same. -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#49
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effect of changed thrust line.
In article ,
Jim Logajan wrote: Alan Baker wrote: In article , Jim Logajan wrote: Alan Baker wrote: http://www.princeton.edu/~stengel/MAE331Lecture9.pdf "Pitching Moment due to Thrust Thrust line above or below center of mass induces a pitching moment" Note: no mention of drag line... No mention of pitching moment due to elevator controls either. Does that mean elevators don't affect pitch!? You are taking a reference out of context. No, I'm not. I'm showing what what you need to consider when changing the location of an engine is keeping the thrust line in the same relationship with respect to its moment arm with the CoM. That's appears to be a different claim than in your post up-thread when you claimed the one place you can apply thrust to avoid an engine pitching force is through the center of mass. Now you're saying the thrust line need not go through the center of mass, just that the new thrust line coincide with the old one. I was using the claim you make first to show a simplified case of the general problem. I don't know where this particular aircraft (the "Pegazair", IIRC) has its thrust line with respect to its centre of mass, but for the sake of demonstrating my argument I simplified to the idea of an engine mount with no moment arm. In the real situation, the thrust line is almost certainly *not* through the CoM. There are simply infinitely more places for it to be. :-) Plus, some of the reading I've done since this discussion began suggests one can use a thrust line above the CoM to create a stabilizing effect where a perturbation of the aircraft that increases its speed causes a decrease in thrust and thus a pitch up. http://www.princeton.edu/~stengel/MAE331Lecture9.pdf So let's say for the sake of argument that that's precisely the case with this "Pegazair" then, and let's assume that the amount the thrust line is above the CoM is precisely amount that the propellor will be lower if he build his craft with a Corvair engine and positions it to keep the CoM in the same location: 4 inches (the designer's figure). OK. Doing that then removes that stabilizing effect. And note that Professor Stengel makes no reference to the "drag line" when talking on the subject,. (Hopefully the original poster can find a decent book on the subject.) It looks like Professor Stengel might have one: http://www.princeton.edu/~stengel/FlightDynamics.html Just as if you wanted to change the size of the tail plane and keep the same control authority: you'd consider how much you need to move it in relation to the CoM. Um, just what is your training in the physical sciences, if I may ask? Some university physics and a lot of study for interest. :-) -- Alan Baker Vancouver, British Columbia http://gallery.me.com/alangbaker/100008/DSCF0162/web.jpg |
#50
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effect of changed thrust line.
On Fri, 14 Nov 2008 16:16:21 -0600, cavelamb himself
wrote: wrote: Lowering the thrust line to below the center of aerodynamic drag would cause nose up - OK I get that. Now where is the center of drag on a peg? and it will DEFINETLY change with flying attitude - ie with the flaps on, or the slats extended. I guess what it boils down to is it will not be a HUGE effect. On a 28" long engine, 3 degrees is roughly 1.5" offset, so 1/4" is roughly 1/2 degree. One 1/8" washer at the firewall and one at the engine rubber on both sides will make 1/2 degree change if I need to do a bit od "fine" tuning. Spec for the O200 mount is 1.5 degrees down IIRC,amounting to .75" offset - guess I'll put in about .875 and see what happens I thought about this a bit last night. And a couple of thoughts seemed worth relaying. First, (and most obviously) a new mount will be needed. So build it as close as you can guess to what you'll need. Adjusting the mount at the firewall end strikes me as a bit "iffy". More that a washer or two makes for a noticeable misalignment between top and bottom bolts. When torqued down, something it GOING to give. Either the mount gets twisted or the firewall support structure does. Or both? The engine end, if rubber cushioned would be a lot more compliant. Might consider all that when designing the new mount. The Corvair would use a bearer style mount, wouldn't it? Not on this plane. I'll get pics of the mount design on line soon. I've put mounting tabs on the top and bottom rear so I'm mounting it like a Conti O200, but using 1" diameter Licoming type homebuilder mounts.The typical bed mount would interfere with my 180 degree header system. Rubber pads front and rear would give quite a bit of adjustment room. I think Stealth got it right. Same side alignment and a touch more down. |
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