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[转帖]DCS:BS科普 共轴旋翼空气动力学 配平

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发表于 2009-11-7 14:13:47 | 显示全部楼层 |阅读模式
转于SimHQ
Don't Cross the Rotor Cones!

In a hover, the two rotor disks of the Ka-50 are designed so that they produce the same amount of torque (due to drag) in opposite directions in a hover. By design, the lower blades are pitched down about 1.25 degrees from the upper rotor blades precisely so that they match torque production in a hover (at sea level on a standard day <yawn>).

Forces and Moments in a Hover
During forward flight, due to translational lift and the lower rotor working in the downwash of the upper rotor, the upper rotor generates more torque than the lower rotor. Torque acts opposite to the direction of rotation of the rotor blades, and the upper rotor spins clockwise, so the net torque on the helicopter is counter-clockwise, resulting in a left yawing tendency at airspeed. This yawing tendency, left uncorrected, will result in uncoordinated flight (i.e., the ball in the slip indicator gets off to one side). Uncoordinated flight is messy, so a good pilot has to get the nose pointed where he's going.

In a standard helicopter, swinging the nose is accomplished by stomping on a rudder or "anti-torque" pedal. This changes the pitch of the blades on the tail rotor, making it push or pull less or more, swinging the tail thus the nose around. But, the Ka-50 doesn't have a tail rotor. Luckily, the designers of the Ka-50 knew this would be a problem so they came up with an ingenious solution.

In the Kamov coaxial helicopter designs, yaw is controlled by varying the pitch of the blades of the two rotor disks. To yaw to the right, the pitch of the blades in the upper rotor disk is decreased which decreases lift which decreases drag which decreases the counter-clockwise (i.e., left-turning) torque. If nothing else was done, the helicopter would yaw to the right (due to the excess torque generated by the lower rotor disk), just as desired, but it would also start to sink due to the loss in total lift. To counteract this, the pitch of the lower rotor pitch is simultaneously increased, increasing lift which increases drag which also increases the clockwise (i.e., right-turning) torque. The change in total lift is zero while the total change in torque is to the right. The opposite process happens for yawing to the left. This is all accomplished automatically by the helicopter control systems when the pilot stomps on a rudder pedal. Cool, huh?

Coordinated Pitch Change to Effect a Yaw Torque

To maintain coordinated level flight while moving forward in a Kamov contra-rotating coaxial rotor helicopter (like the Ka-50) the pilot has to apply right rudder.

Rotor blades slope upwards when they produce lift. This causes the rotor disk, which is pretty much flat while producing no lift, to form a cone shape, or rotor cone. In forward flight these cones lean to one side because of a phenomenon called "dissymmetry of lift". Dissymmetry of lift is caused by the fact that rotor blades moving in the same direction as the helicopter are moving faster through the air and thus generate more lift than the blades on the other side of the disk which are moving with the air and thus generating less lift. More lift means a steeper coning angle. From the outside it looks like the cone is leaning away from the side of the rotor disk that is headed in the helicopter's direction.

Unfortunately, that's not the end of the story.



                                                                                Dissymmetry of Lift
The side of the cone that tilts more is generating more lift than the other (hence the handy-dandy "dissymmetry of lift" moniker) which creates a banking (or roll) torque on the helicopter. In the Ka-50 contra-rotating coaxial rotor, the upper rotor generates more lift than the lower rotor (as mentioned earlier) which results in a net banking moment to the right.

In addition to the right rudder needed due to the differing torque production of the two rotor disks at airspeed, left cyclic is also needed to maintain steady-state coordinated level flight. Hence the left stick and right rudder we keep finding ourselves using. It's natural. And it's right.

Now for the Dark Side

One of the aspects of this design is that the cones of the two rotor disks lean in opposite directions: the upper rotor leans to the right and the upper rotor leans to the left. The blades are coning away from each other on one side but towards each other on the other side. Since the lower rotor disk is working in the downwash of the upper rotor, it has a much larger coning angle than the upper rotor. If you look closely in forward flight (say at 200 km/hr), the upper rotor cone is barely leaning to the right while the lower rotor cone is strongly tilted to the left. In the right (or wrong) conditions, the two cones can cross, which, if you remember from Ghostbusters, is a bad thing.
Egon:There's something very important I forgot to tell you.
Peter: What?
Egon:Don't cross the streams. (Or rotor cones.)
Peter: Why?
Egon:It would be bad.
Peter: I'm a little fuzzy on the whole "good/bad" thing here. What do you mean, "bad"?
Egon:Try to imagine all life as you know it stopping instantaneously and every molecule in your body exploding at the speed of light. (Or your rotor blades disintegrating and flying off your helicopter!)
Ray:Total protonic reversal! (Or rotor clashing!)
Peter:That's bad. Okay. All right, important safety tip. Thanks, Egon.

This is not an unanticipated aspect of the design. Mr. Kamov did not have a maximum airspeed warning system installed into his helicopters to help pilots avoid speeding tickets: it's there to help prevent intersecting cones. Blinking lights and a blaring alarm tell the pilot his two rotor cones are dangerously close to meeting each other. A "V" symbol also blinks on the HUD and Shkval monitor just in case the pilot is deaf or has Scissor Sisters blasting on his iPod.

Maximum Airspeed Warning Indications

The system doesn't, however, limit the pilot from increasing the collective while in this dangerous situation. Increased collective = increased pitch = increased lift = increased coning = see Egon's safety warning above. Stomping on the right rudder makes the lower disk cone a whole bunch more, also increasing the likelihood of a strike. Or, throw in some strong cyclic controls in just the right direction and voila, clash of the rotor blades!

Making Rotor Blade Salad
The slow motion video of rotor clashing in DCS: Black Shark can be seen below. Notice the severe rotor coning angle just prior to clashing.

The good news is that it's easy to avoid rotor cone intersections. When flying at high airspeeds (>250 km/hr), don't climb using the collective and avoid strong cyclic or rudder inputs in any direction. If you need to climb while at high speed, pull back on the cyclic while holding the collective steady. The helicopter will pitch up and start to climb while airspeed bleeds off, reducing coning angles. As airspeed drops, slowly introduce collective to maintain / increase climb rate. There's probably a table somewhere to help pilots figure out what sort of climb rates they can get at high airspeeds before the rotors clash, but I find I can comfortably climb and maneuver at 250 km/hr, saving the higher speeds for straight and level cruises.

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 楼主| 发表于 2009-11-7 14:23:04 | 显示全部楼层
DCS: Black Shark and the Trimmer
by Guest Writer Erik "EinsteinEP" Pierce


Just Push the Button

Imagine driving a car at a constant speed around a perfectly circular track. To make the constant turn, you have to hold the steering wheel in the proper position, turning it against the straightening tendency of the wheels on the road surface. If, because of the size of the track, the speed you were driving, etc., the required force was 50 lbs (~23 kg), or more, how long do you think you could keep this up before your arms felt like they had turned to rubber?

Driving a Circular Track

Now imagine that you were to drive the same course in car with a spring installed to the steering column that pulled the steering wheel in one direction. If we designed the spring so that it had just the right tension and was installed in just the right place, the spring could apply all the force needed to keep the wheel in the right position. You could literally drive hands-off all the way around the course. In reality, you would still need to provide minute corrections as the car's heading was perturbed by the uneven road surface, wind, etc., but the effort would be minimal and you could probably drive until you ran out of gas without your arms giving up on you.

Driving a Circular Track with a Spring

If you were driving in any condition other than the one that the spring was designed for (faster or slower, bigger or smaller track, straight road, etc.), either the spring wouldn't be helping enough or you'd be fighting its input. However, if a spring were installed that allowed you to adjust tension in real-time, then you could minimize the control force needed for any driving condition. This is the essence of control system trim.

Over the years, aircraft designers have come up with some very clever methods to implement trim, from springs and weights to tabs and cables and pulleys to complex computer algorithms and electronic servos. Some methods, like the one used in the Kamov Ka-50 helicopter simulated in the DCS: Black Shark simulation, are much more complicated than our spring example, and require additional explanation and some hands-on experimentation to really understand.

In the Ka-50, just like in our spring example, control system trim is accomplished by adjusting stuff "behind the scenes" to the pilot so that the pressure needed to be applied to the flight controls is reduced to zero. The actual workings of the Ka-50's trim system (aka the Trimmer) involve electromagnets, hydraulic controls, and a bunch of other "magic" stuff, but you don't need to understand these mechanics to know how to use the Trimmer.

No Easy Explanation

If a pilot finds they have to constantly hold back pressure on the cyclic control stick to keep the Ka-50's nose at the right attitude, they can press (then release) the Trimmer button while holding the cyclic steady in a position that gives the desired attitude. This action causes the control system to readjust itself, just like the spring with adjustable tension in our previous example, so that no additional force is required to keep the stick in that position. This is referred to as "trimming", "re-centering", or even "re-zeroing" the controls. Whatever you choose to call it, it means that you don't have to hold pressure on the controls to maintain the desired attitude for a given flight condition.

There is only one Trimmer button. Unlike a fixed wing airplane, there are no separate trim controls for the pitch, roll, and yaw axes. Pressing the Trimmer button trims ALL the attitude axes at once: cyclic forward/back, cyclic left/right, and rudder left/right. The fact that the rudder pedal position also gets trimmed is a big surprise to a number of Ka-50 pilots-in-training, who are usually expecting only the cyclic position to be trimmed. This results in mass confusion and vicious and unfounded lies about the Trimmer's usefulness, sexual preferences, and legitimacy of birth. Note that the collective is not affected by the Trimmer. The collective lever is held in place by a friction lock called the collective brake that is released by a spring-loaded handle near the grip, so complicated trimming systems need not apply.

In our home cockpits, we generally don't have hydraulic systems controlling our joysticks and many of us don't have Force Feedback sticks, so the DCS Ka-50 trim system can feel counter-intuitive at first. We've all had more than one experience where the helicopter seems to have a mind of its own, yawing, pitching, or rolling in ways we did not expect after we use the Trimmer. A little explanation should clear up what's really going on.

Moving the joystick away from center is like pulling or pushing on the virtual cyclic control stick. If we hold the stick forward, say 20 degrees from center, the virtual cyclic is pushed forward with some corresponding amount of force. If we press and then release the Trimmer button, the force required to hold the virtual cyclic in its current position goes to zero, due to the equalizing action of the Trimmer system.

Before Trimming
After Trimming

However, right when we release the Trimmer button, we're still holding the joystick forward. The simulation interprets this as a force being applied to the virtual cyclic and, since now there's no force required to keep the cyclic where it is (due to the Trimmer action we just completed), the cyclic bumps forward even more. The catch is that if we're using the Trimmer properly, the joystick will *always* be off center just after we release the Trimmer button, which means there will *always* be a bump!

Although the programmers at Eagle Dynamics do think very highly of us, they know we can't move the joystick from the desired trim position to center instantly, so they've made the simulation ignore control inputs until we re-center the controls (both the cyclic stick and the rudder pedals!), which completely avoids control "bump". Neat, eh?

Before patch 1.0.1, the Trimmer ignored control inputs for a fixed amount of time, which resulted in a lot of control bumping and pilot confusion. Control bump is gone in the new method, but some pilots are now reporting that their controls occasionally "freeze" or become unresponsive after using the Trimmer. This is most likely caused by the pilot inadvertently failing to re-center both the cyclic AND rudder pedals after using the Trimmer, but you can opt to return to the old Trimmer method via in-game options, if you so choose, to avoid this control freeze possibility and live with control bump.

Whichever implementation you choose, just remember that the rudder pedal positions are also trimmed in!

Now that we have the basics of the Trimmer understood <fingers crossed>, here's a brief walkthrough of how this all works in DCS: Black Shark without a Force Feedback joystick.
It's important to know that the Trimmer and the autopilot are two distinctly separate systems. We'll talk more about the autopilot in a later essay, but when experimenting with the Trimmer, turn the Flight Director override on to disable the autopilot's responses. You'll get a much better feel for what the Trimmer is doing this way. The Flight Director override has been enabled in this example for demonstration purposes.

In this example, the pilot has already established a hover and has trimmed the controls to maintain the hover with minimal control input.

Trimmed for Hover

Ready to begin the mission, the pilot pushes the joystick forward to pitch the nose down and accelerate his helicopter forward. From practice he knows putting the nose at 10 degrees down will get the desired acceleration rate, so he applies enough forward pressure on his joystick to maintain this attitude.

Pitch Down for Forward Flight

Once the nose is steady right where he wants it, he presses and then releases the Trimmer button and quickly re-centers his controls.


Trimmed for Acceleration

He carefully watches the helicopter's attitude as the control system trim takes effect and as the changing flight conditions affect the helicopter's dynamics, re-applying Trimmer as needed to maintain the desired attitude. Throughout the maneuver, the pilot uses the collective to achieve the desired climb rate, but use of the Trimmer has no effect on this input.
As the helicopter begins to pick up airspeed, increasing amounts of right rudder and left cyclic are needed to maintain level coordinated flight, due to the unique aerodynamics of the Ka-50 contra-rotating coaxial dual rotor system. At first the pilot applies the required corrections via the joystick and rudder pedals, but, as the amount of the correction needed increases, he re-applies the Trimmer, re-centering the joystick and rudder pedals each time. After the helicopter reaches the desired cruising speed, the pilot only has to provide minimum pressure on the controls to keep the aircraft in stable steady-state level coordinated flight.

As the pilot approaches his destination, he pulls the joystick back to raise the nose to slow the helicopter. He uses the Trimmer again to maintain the desired deceleration attitude. As the airspeed drops off, less right rudder and less left cyclic are needed to maintain coordinated flight, but the Trimmer is still applying the same control inputs that were previously set during cruise. The pilot applies some left rudder to keep the ball centered and enough right cyclic to maintain level flight and employs the Trimmer, again re-centering the controls. He continuously re-trims during deceleration, pre-empting any large control inputs. As the helicopter slows down, the amount of control force he needs to input are much smaller than if the pilot had not used the Trimmer, and he can focus more energy on the finesse required to enter a hover instead of fighting the controls. By the time he has established a steady hover over his destination point, the rudder inputs have been trimmed back to center, there's no more side cyclic trimmed in, and the helicopter response is smooth, stable, and predictable.

There are three keys to understanding the Ka-50 Trimmer: practice, practice, and practice. While you're learning the Trimmer and how it affects the flight controls, turn all four autopilot channels on (which enables stability augmentation, to be discussed in the next part), but also turn on Flight Director. With the Flight Director override (see the upcoming Part 2 of the autopilot discussion), autopilot control feedback to the flight controls are disabled so all the rotors see is pure Trimmer and pilot inputs. When you find you have to apply a constant control pressure use the Trimmer to hold that pressure for you. Just don't forget that the Trimmer continues to hold that pressure, whether or not you still want it! Only regular and continuous use of the Trimmer over changing flight conditions will result in a stable platform with an intuitive response.

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 楼主| 发表于 2009-11-7 14:25:31 | 显示全部楼层
可以在http://www.simhq.com/_air13/air_426a.html看到

Autopilot: Part 1
Autopilot: Part 2
发表于 2009-11-7 15:33:59 | 显示全部楼层

慢慢看
发表于 2009-11-7 16:22:05 | 显示全部楼层
技术帖要顶。
科普帖更要顶。。。
发表于 2009-11-7 17:01:17 | 显示全部楼层
这个英文我很痛苦...  帮顶  

等待高人翻译..    顺便鄙视一下翻译软件.
发表于 2009-11-7 20:14:47 | 显示全部楼层
中文  中文
发表于 2009-11-8 09:47:44 | 显示全部楼层
配平那个模拟起来还是很恼火..如果是FFB(2)的话到是摇杆可以直接变中立位置
象Bell206那样的小直升机摇杆本来就没有所谓的中立位置的,当然也没有什么复位弹簧
发表于 2009-11-13 01:19:51 | 显示全部楼层
第一大段意思:由于不均衡升力效应,共轴双旋翼机如果不加任
何配平调整,将自然向左偏航,并自然向右翻滚。因此咱们得踩
右舵,压左杆来保持飞鸡的正确姿态。

第二大段意思:同样是由于不均衡升力效应,(从后往前看)上
层旋翼往右倾斜,下层旋翼往左倾斜,就会在某些情况下发生上
下层旋翼的打浆。
虽然飞行控制系统没有最高速度限制,也没有危险情况下对飞行
员提高总距的限制,但是当上下层旋翼接近一个危险的碰撞区域
时,仍会在仪表和HUD上进行提示。增加总距,增加各方向的俯
仰角度,增加升力等动作都可能会诱发这个警告。
根据第一段的理论分析,最容易产生打浆的动作为:猛踩右舵及
向右方快速滚转。

第三大段意思:高速情况下避免打浆很简单,在大于250公里时
速的情况下,不要用总距杆实施爬升动作,也不要向左右方向猛
踩舵或猛压杆。如果想爬升,请拉杆并抓稳总距杆,飞鸡将俯仰
爬升并减速。当空速降低时,可以缓慢介入总距以保持或增加爬
升速率。应该是有那么一份关于避免产生打浆的爬升率及空速关
系的包线图(虽然作者没有),但是作者发现他还是能在
250km/hr的高速下轻松自如的实现爬升、机动,并能保持高速巡
航的状态。

第四大段意思:介绍trimmer也就是配平键T的原理。假设在一个
正圆形赛道上开车,我们就要稳着方向盘保持一个固定角度,让
车在赛道上一圈圈的转下去,要不了多久,咱们的手就僵了,如
果能在方向盘上安一个助力装置,比如一个弹簧,就能帮助咱们
稳住方向盘,节省体力。在ka50的驾驶过程中,由于设计原理(
见第一大段),我们必须长时间保持踩右舵,压左杆来保持正确
的航向。如果我们按下T键,那飞控系统将自动通过机电系统加
力为我们保持这个操纵面状态,而不用飞行员另外对操纵杆及舵
面施加额外的力量。

(今天太晚了,先翻到那个摇杆图片上面那一段,明天接着翻)
如有错漏,请指正!谢谢,另请问咱们这里有没有黑鲨群,谢谢
发表于 2009-11-21 14:19:40 | 显示全部楼层
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