Indranil Roy wrote:
1. The fundamental mistake in your description is that pitch axis doesn't pass through the CG!
In reality the pitch axis passes through the CG. A plane in air is not tethered so if you create a moment it will always turn around its CG. Therefore all the three axises of freedom (has to) pass through the CG.
CG location is a function of mass distribution alone
According to Wikipedia, the axes are defined wrt geometry of the plane eg Roll axis from nose to tail, pitch axis from wing tip to wing tip, ok yaw axis is vertically passing through CG.
There is no obligation for CG to be in line with geometrically defined axes in a fighter. You can create mass distribution any way you want inspite of a given geometry. That a CG lies on point of intersection of roll, pitch and yaw axis is because designers have ENGINEERED it to be so in a stable yet manoueverable plane. It is not a default, imho.
Given that understanding, when your CG is ENGINEERED such as to lie above the point of intersection of roll, pitch and yaw axes you should get a metastable equilibrium. A top-heavy fighter cannot be stable unless the pitch axis too is on the top (high wing fighter).
Due to my limited aerodynamics knowledge, it is possible that I might be wrongly using pitch axis in my explanation where I should perhaps be using Aerodynamic center which is defined distinctly than center of gravity (
http://en.wikipedia.org/wiki/Aerodynamic_center )
Shiv wrote:I do know that the CG of the Tejas is behind the pitch axis causing it to be unstable in the the pitch axis with a "natural" tendency to pitch up and go into high angle of attack (High alpha).
That runs counter to what Indranil is saying
Indranil Roy wrote:In reality the pitch axis passes through the CG. A plane in air is not tethered so if you create a moment it will always turn around its CG. Therefore all the three axises of freedom (has to) pass through the CG
Lalmohan wrote:cars and aircraft still share a huge amount of aerodynamics and structural mechanics knowledge, less so in control systems, but still some in on board electronics. that said, they are different beasts
Don’t take the analogy of flywheel for literal similarity. It is just representative for modeling an aspect of behaviour. As an example, the mechanical deformation of viscoelastic materials such as plastics is modeled by circuits in which springs and dampers are attached in series and parallel combinations.
shiv wrote:
I did not understand this.
I was just saying intuitively it seems that if CG and center of revolution of loop were on opposite sides of the wing, then CG would unfavourably exert inertia in rotation of fighter adding to the drag.
Lalmohan wrote:you dont account for lift and drag, aircraft have to balance weight with lift and thrust with drag
centre of lift vs centre of gravity is your key issue in pitch (moment wise)
also lift and drag are non linear with alpha
thrust is usually used to counteract drag during high alpha manouevers
I was only explaining what HELPS in the turning. The control surfaces do their part in turning while thrust is provided by engine. But it is the simultaneous tipping of the CG at the top-heavy plane that is helping the fighter make a TIGHTER turn than what it would if purely the control surfaces were working.
Smart systems use their own weight to their advantage and that’s what this is about. If your CG is located low it becomes additional drag on the thrust provided by engine while turning. If the CG is located high it becomes additional thrust OVER AND ABOVE that provided by engine to counter the drag while turning.
The moment arm between the axis and CG may be small but the entire weight of aircraft acts on CG and that makes the tipping moment huge.
All this may not too difficult to verify. Just invert the MK1 with a roll manoever and try a vertical turn in inverted state and measure the alpha achieved.
Lalmohan wrote: your 4th quadrant arguement doesnt make sense to me, at that stage, the a/c has plenty of potential and kinetic energy and does not need additional thrust to 'complete the quadrant'
It happens because pilot’s action of making his plane level wrt ground is lifting his CG higher. That’s where the
inertia to rotation is coming from. I have not been able to find ANY video where a fighter made tightest possible 1st and 2nd quadrant and then after completing 4th quadrant came to a position higher than original. If you happen to find one please let me know.
Indranil Roy wrote:So you see flywheel and aircraft do not follow the same dynamics as a flywheel is tethered while a plane is not.
The centre of the flywheel is a moving reference frame about which its CG revolves. Simiarly, the pitch axis in a metastable fighter is a moving reference frame about which the fighter rotates(CG revolves about PA) 360 degrees upon completion of a vertical loop. With respect to each other the pitch axis and CG separation is fixed due to construction that way. So why do I consider pitch axis as a reference frame and not CG ? Because it is defined with respect of geometry of the plane. Pilot’s actions are to bring the geometry of the plane level or perform a loop. If he makes a plane level, he brings wings parallel to the ground even if that takes CG higher. When he makes the plane loop, he makes the wings loop. He does not think about CG, although the mechanics acts on it.
Indranil Roy wrote:2. Tejas is not a high wing aircraft. Actually none of the modern fighters have that as it is too stable. There are planes which have shoulder mounted wing like the F-22/J-20. LCA is a mid wing aircraft.
So you agree that high wing aircrafts are stable.
LCA has somewhat high to mid wing. It is inclined.
The incline itself works like a fixed control surface trying to depress the plane adding the drag during the vertical turn. Although angle of inclination is small but length of wingroot is long which makes it span upto the mid. And the undercarriage is heavy in MK1. In most likelihood MK1 has CG below the pitch axis and has ENDED UP being stable
k Prasad wrote:However, I will point out that the Rafale does have a wing over the inlets (in effect, a kinda high wing
and
Indranil Roy wrote: There are planes which have shoulder mounted wing like the F-22/J-20.
If you look at F22 and Rafale from front you can see the mass-distribution tapers towards the bottom. The apparently equal mass distribution due to seemingly equal bulkiness above and below the wing is an ILLUSION. The intakes underneath are HOLLOW and in case of 5th gen fighters the internal bays at the bottom are EMPTY for a clean fighter(I am only calling clean fighters as metastable). Even the internal fuel is on upper side.
They would have considerations others than alpha for not having the wings completely at the bottom also depends on how much optimum instability they need the plane to have. They have a high thrust engine, so would not want too much help from tipping moment lest g forces exceed too much. Aircrafts is about tradeoffs after all.
k Prasad wrote:Firstly, cars are designed to be INCREDIBLY stable, which ALL modern combat aircraft today are designed to in fact incorporate INSTABILITY. Thus, the instability that occurs due to a CG location would be advantageous for the designers to incorporate RSS (relaxed Static Stability).
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That is exactly what I had said. It has gotten too much into our psyche that CG is supposed to be kept low. Here we want fighter to be unstable.
In my humble understanding of Relaxed Static Stability, it is nothing but a sophisticated name of maintaining the metastable state of CG above the pitch axis by USE of FCS intervention in a level flight.
It is understandable that a metastable CG at position Q would drift between point P and point R from time to time in a level flight with CG trying to lower itself and minor disturbances helping it. Now when it drifts to point P, the structure of aircraft along with its control surfaces has inadvertently rotated by a small angle to shift centre of pressure to position R. FCS intervention through control surfaces brings centre of pressure to the front to keep the flight level .
Next when CG drifts to point R, the inadvertent rotation of aircraft structure has shifted centre of pressure to point P. FCS reacts to this through control surfaces movement to bring the centre of pressure behind to level the flight again.
These oscillations of a CG between P to R cause the fighter to move in a simple harmonic “bounce” about the NET direction of level flight. But the wavelength(lambda) of this trajectory is so long and the amplitude of bounce so small as to be not perceptible to the pilot.
imho, As far as using the body weight to create instability is concerned, the shifting of CP to the front and behind of CG is a CONSEQUENCE of CG’s oscillations P-Q-R and not the main root action leading to instability.
JMT