# Dealing with Vibrations and harmonics... a competition

go for it Charlie with the answer of 60 and 180hz.

Ok, here goes…

A. Please define each of the harmonics that can affect the Pixhawk 2.

The harmonics which can affect the Pixhawk 2 are those for which the internal damping is not effective. Passive vibration damping systems have a natural frequency, or resonance, defined by the stiffness of the ‘spring’ and the damped mass. At this frequency, the damping will not function effectively and may amplify vibration.

Below that frequency the efficiency of the isolation will drop, and above it will increase. The stiffness of the damping material determines the shape of the transmissibility curve. Stiffer materials show less resonance at their natural frequency, but the roll-off in vibration isolation above that is shallower. So there is a tradeoff, softer damping is more effective at reducing high frequency vibrations, but at the cost of being more susceptible to resonances.

Harmonics of the natural frequency will also have an effect, particularly those below it. The Pixhawk 2 has 3 onboard IMUs, of which 1 and 2 are on the damped section. Using the FFT function in Mission Planner, you can therefore compare vibrations from the frame (assuming the PH2 is hard mounted) to those being transmitted through the damping material.

Here is an FFT of a 2 minute hover. ACC3 shows the undamped vibrations reaching IMU3, there are peaks at ~180Hz and ~60Hz. The amplitude of the peaks is 0.12-0.14. When comparing ACC3 to the ACC1 and ACC2 graphs, the 180Hz peak is reduced (by about half) but the 60Hz is amplified (almost double).

So it appears that the natural frequency of the Pixhawk damping system is around 60Hz. Harmonics of this frequency, particularly sub-harmonics, will also be less affected by the internal damping (15Hz, 30Hz, 60Hz, 120Hz, 180Hz, etc. etc.), and will add to the vibration at the natural frequency.

In a multirotor the vibration sources (props/motors) are not in phase with each other, but as the rpm changes, they might pass through moments of being in phase (or out of phase), which could cause moments of increased (or decreased) vibration.

B. What is the effect of these on flight?

In general vibrations cause problems with position estimation (accelerometers) and attitude (gyros). Severe vibrations cause obvious problems with erratic behaviour in flight. If the vibrations are not so severe as to interfere with the ability of the craft to fly, they can still cause problems in GPS assisted/automated flight modes. Poor position holding, causing the craft to drift in one direction or the other when holding position, is one symptom. Increased susceptibility to wind or turbulence causing unusual or hesitant appearing automated flight is another.

Hitting the frequencies or harmonics of the Pixhawk 2 can cause a sudden jump in vibration levels. For example, if the prop RPM in the hover is close to the natural frequency or one of its harmonics, flight characteristics may be mostly OK, but exhibit periodic divergences as frequency and phase relationships change. When a divergence becomes severe enough to get through the noise, the motor rpm correction will probably change the dynamic relationship and restore good control.

Here is an FFT of a fairly long flight – same model as the FFT above, but an earlier incarnation which was not flying in a confidence inspiring way

C. How can someone measure this on their airframe?

Using the FFT function in Mission Planner. To do this you need to:

1. Enable full or high rate logging using the LOG_BITMASK parameter
2. Carry out a test flight
4. Ctrl-F in Mission Planner to bring up the ‘temp’ menu
5. Hit the FFT button and chose ‘run all imus – ACC GYR MSG’
6. Compare the ACC/GYR3 results with the other two IMUs
(The amplitude is relative, longer flights will produce higher numbers. Also be aware the scale will be different for each of the charts by default, this needs to be taken into account when interpreting the results)

D. If your airframe has vibration in these bands, what can be done to protect the system from this?

Propeller RPM, or possibly a resonance excited in the frame by the prop RPM, is going to cause these harmonic frequency related problems. If the frame is stiff enough, then changing the prop RPM is the simplest way to investigate or alleviate the problem. This can be achieved by changing the prop size, pitch or number of blades, or the all-up-weight of the model. If that cannot be changed enough to reduce the problem then an additional damping system could be used, chosen to be effective at the problem frequency.

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Charlie drop the mic!

Thanks for the info Charlie - very informative

Great， thank you very much

foan tape, how to place that ?
between the arms and frame ? hard to understand.

So this was called a competition, who is the winner…?

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Assume it’s still up for grabs…?

WOW! This is a GREAT thread. Has anyone NAILED down the best anti-vibration setup?

The best has been proven to be hard mounted…

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@proficnc I’d love to see some logs and videos from your hard mounted flight tests.

The best setup is the one where motor/props frequency when hovering do not match the natural frequency of the frame since the mount material available for the flight controller mount do not always allow to damp the vibrations of the system.

Its quite typical that the vibration is worst at hover when the motor/props frequency hits the frame natural frequency. However I have found out that with larger drones (18") in high speeds the turbulence caused by frame and thrust can cause high vibrations in the frame even when the motor/props are not rotating in the natural frequency.

Best way to avoid that is to make the frame more stiffer so it wont flex even on high forces caused by low/high pressure changes.

Thank you. My S1000 airframe is “pretty stiff” but could probably use some stiffening. Currently, I do not have the PH 2.1 on a dampened frame/board, but might have to try it also.

In my experience when there is excessive vibration it causes even more problems as the dampening system can start oscillate too and it adds phase delay to the wanted signal. For example I have seen that the pixhawk 2.1 undampened accelerometer can have lower vibrations compared the two dampened ones in cases where excessive vibrations are present.

It would be best to get the vibrations to near acceptable levels with structural changes before adding dampening. In my opinion the best case would be when minimal amount of added dampening is needed (the pixhawk 2.1 internal dampening is enough).

Hi,
I have tried gel cubes for vibration damping because I have problems with a tarot frame in another thread: PH2 direct mounted vibration clipping issue/question

I hope I did the FFT analysis the right way. When I click on “Run all imus - IMU1-3 MSG” nothing happens but when I click on “Run all imus - ACC GYR MSG” I got some graphs… Mission Planner 1.3.58.

BR,
Lorenz

“Clipping” by itself may or may not be an issue
Post pictures of your fft results

Here are my FFT results.
Flight 1: PH2 direct mounted on frame with autotuned PIDs and a lot of wind.
Flight 2: PH2 mounted with gel cubes and the PIDs from flight 1 - no wind
Flight 3: PH2 mounted with gel cubes and new PIDs with the gel-cube-mount

in my other thread there are also the vibration logs if somebody want to check them out. There are also the links for the corresponding log files.

I also noticed that if I load a log with all the IMU data, when I select “vibes” in the log window, no data is displayed. Only “Vibration 3.3” works.

Flight 1:

Flight 2:

Flight 3:

Maybe I am on the right path for vibration damping with my gel cubes. Otherwise I have to try the o-ring method…

Gel cube mount:

You need to fix the actual vibration on your copter

Get rid of the gel

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