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How To Analyse Jerks

07/20/2015 3:44 AM

hello everybody,

I have collected some data from accelerometer for jerk analysis. How should I approach for jerk analysis.

I have calculated the derivative of acceleration (but I have taken only X direction as sample sample) with the sampling rate of 100Hz but the jerk so calculated seems to be very high and is not perceivable during driving.

Is it because of the noise? and How to remove such noise from data? (is low pass/high pass filtering the solution?)

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#1

Re: How to analyse Jerks

07/20/2015 3:52 AM

Please confirm: do you mean shock or shunt measurements?

Jerk is something different and not really used in a technical context.

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#2
In reply to #1

Re: How to analyse Jerks

07/20/2015 3:58 AM

what i understood is that jerk is the derivative of acceleration over time. So if i measure the change in acceleration, would i be able to calculate jerk.

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#3
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Re: How to analyse Jerks

07/20/2015 4:39 AM

https://en.wikipedia.org/wiki/Jerk_(physics)

Something like this?

There was some good information in the old thread. But you did see that didn't you?

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#7
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Re: How to analyse Jerks

07/20/2015 8:06 AM
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#18
In reply to #7

Re: How to analyse Jerks

07/21/2015 4:38 AM

Terrible to read, but I get the gist. Thanks.

You need to pull the bottom RH corner out to make it as large as CR4 will allow!!

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#4

Re: How to analyse Jerks

07/20/2015 5:38 AM

A psychiatrist's couch might be the best tool for this.

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#44
In reply to #4

Re: How to analyse Jerks

07/22/2015 8:59 AM

If he gets it to work, he can try it on me!

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#5

Re: How to analyse Jerks

07/20/2015 7:06 AM

If you calculate da/dt = (a(t+d) - a(t-d))/2d, it should give you the value of jerk at time t. The value d is the sampling time (1/100 sec in you case) and you will not see any frequencies higher than 50 Hz.

Filtering can be done to remove "noise", but first you have to determine what is signal and what is noise, and that depends on what you are trying to measure. You didn't specify whether you are analyzing braking, acceleration, crash testing, etc.

Differentiation amplifies signals proportional to their frequency, so if the accelerometer is rigidly mounted on the frame of the car, vibration is likely to be a larger signal than, say, improper braking. If your signal is continuously high or varies in frequency with car speed, it's most likely vibration. (If your accelerometer is picking up vibration, you probably don't feel it because you are being isolated by the seat.)

If I were doing it, before deciding to filter the data I would make a waterfall spectrum (frequency spectrum versus time) and try to identify the source of the large signals, correlating with the speed of the car. Decide what part of the spectrum is of interest to you and then filter.

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#6

Re: How To Analyse Jerks

07/20/2015 8:04 AM

Depending on what your accelerometer is attached to you might be getting frequencies higher than 50HZ that are aliasing into your data as noise. You cannot filter out this aliased out of the Nyquist band component without corrupting your in band measurements. Sampling faster and/or mechanically dampening your sensor point to remove the higher frequencies are your only options.

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#10
In reply to #6

Re: How To Analyse Jerks

07/20/2015 11:18 AM

Quite right! GA

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#25
In reply to #6

Re: How To Analyse Jerks

07/21/2015 10:45 AM

This conversation has me re-thinking the mounting on my quad-copter. It has a 6 axis accelerometer in it for stabilization and must be affected by vibrations from the props and motors. I wonder what frequencies I'm dealing with and what mounting technique I might employ. I think there are some tests to be made...

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#28
In reply to #25

Re: How To Analyse Jerks

07/21/2015 11:31 AM

With the low mass requirement of a quad-copter it maybe easier for an analog filter to be placed between accelerometer and electronics than to stiffen your frame. This will induce some lag in your response time but properly designed only fractions of a second delay.

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#30
In reply to #28

Re: How To Analyse Jerks

07/21/2015 12:07 PM

Also, if you program it to ignore signals below a certain threshold, you'll effectively dampen the vibration out, you just need to make sure the threshold is set tight enough to allow actual acceleration to be read while discounting the vibration.

Wait, 6 axis, that means three paired of opposed acceleromiters, it'll read both directions of any vibration, so they should cancel out, with the worst case being a 'beat frequency' that would make the copter bob slowly in still air. We're already used to seeing 'bobbing in midair' to mean hovering, so programming that out would make the copter seem 'unnatural.' (Ref: http://tvtropes.org/pmwiki/pmwiki.php/Main/TheCoconutEffect )

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#39
In reply to #30

Re: How To Analyse Jerks

07/21/2015 5:29 PM

Thanks guys. My controller has the accelerometers built-in, and the setup software does filter the basics and it provides a graph as well, but I always do the setup with the props off, and so I'm going to try different mounts and bolt the copter down so I can record the effects with the props on and at speed.

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#45
In reply to #39

Re: How To Analyse Jerks

07/22/2015 3:03 PM

We've been going through all this, and you haven't even measured the system response on the default settings under power?

Pardon me, but I need to do this: <strongman facepalm>

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#32
In reply to #25

Re: How To Analyse Jerks

07/21/2015 12:34 PM

Quad copters!

I hate 'em.

Some Many of the so called "pilots" have no respect for privacy or personal safety!

Twice last week these IDIOTS grounded air tankers fighting fires in California.

How stupid can they be. Incredibly stupid, I'd say.

Obviously just an impersonal rank, not directed at you personally.

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#33
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Re: How To Analyse Jerks

07/21/2015 2:13 PM

Air tankers were operating in the area?

Shouldn't that have made it 'restricted airspace?'

And shouldn't there be a regulation authorizing 'decommissioning(1)' of unauthorized UAVs in restricted airspaces?

Notes:

  1. Also known as 'Blasting the annoying gits out of the sky, and not feeling bad afterwards for enjoying the shooting too much."
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#34
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Re: How To Analyse Jerks

07/21/2015 2:21 PM

The jerks that fly these don't care about restricted air space.

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#36
In reply to #34

Re: How To Analyse Jerks

07/21/2015 3:00 PM

Hence the second part of my comment about being allowed to take a shotgun to unauthorized UAVs.

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#37
In reply to #36

Re: How To Analyse Jerks

07/21/2015 4:38 PM

I'm with you 100% on the shotgun as a cure for unwanted crones.

Along with a hefty fine for the owner/flyer.

I do not consider these people as pilots.

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#38
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Re: How To Analyse Jerks

07/21/2015 4:50 PM

To say nothing of their owners.

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#40
In reply to #38

Re: How To Analyse Jerks

07/21/2015 7:03 PM

The juvenile idiots at Gizmodo called this idiot and awesome guy.

An Awesome Guy Made a Flying Drone Armed with a ...

Sure, I'm an old man. But this $hit scares me.

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#35
In reply to #33

Re: How To Analyse Jerks

07/21/2015 2:24 PM

It was restricted airspace. Here is a report from last month. Here is another report from last week. The drone and remote aircraft problem is real.

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#41
In reply to #32

Re: How To Analyse Jerks

07/21/2015 9:14 PM

Well, just for the record, I'm setting it up to race FPV. The next one is going to have telemetry and sensors to monitor the power to to the rotors and the GPS to fly straight up and hold a particular Lat and Long to "map" the air currents. I intend to coordinate with the FAA and the local airport tower to share the data and provide a current map of winds and altitudes for the balloonists that launch from the airport here. The craft will have a "chaf" tail underneath it for the tower's radar to see and track, cut to 1/4 wavelength of their near space signal.

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#42
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Re: How To Analyse Jerks

07/21/2015 9:39 PM

I never doubted your responsibility.

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#43
In reply to #42

Re: How To Analyse Jerks

07/22/2015 3:14 AM

Oh, sure, especially not with those teeth.

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#47
In reply to #25

Re: How To Analyse Jerks

07/23/2015 8:19 PM

Carbon fiber mounting of the accelerometer might be a viable solution.

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#48
In reply to #47

Re: How To Analyse Jerks

07/23/2015 8:28 PM

I got clever and made mounts from cut-down ear-plugs (memory foam), and hot glue. Very nice! Works like a charm.

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#49
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Re: How To Analyse Jerks

07/23/2015 10:51 PM

OK. That's certainly a creative choice of dampening material to use.

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#50
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Re: How To Analyse Jerks

07/23/2015 11:43 PM

The foam is designed to dampen 95db or so of vibration (sound). Seemed to me to be a good thing to try. Cheap too! And widely available. The stuff "flows" slowly finding a new "norm" for the given application of force. It is like a good set of shocks because it is slow to compress, but it is equally slow to de-compress. It slows every bump down nicely.

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#8

Re: How To Analyse Jerks

07/20/2015 9:46 AM

You came to the right place.

CR4 has an abundance of jerks.

They literally post here many times each day.

Simply begin by reading the posts from Anonymous Posters and analyzing them.

If more data is needed, some of the members here will provide more specific information.

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#20
In reply to #8

Re: How To Analyse Jerks

07/21/2015 9:13 AM

Hilarious, and 'not-wrong,' but also not relavent to the discussion thread.

This is a case where I wish we had two voting axes, "I like this/I don't like this" and "Good Answer/Off Topic." I *LOVE* this response, but it *DOES* distract from the problem at hand, rather than advance it.

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#9

Re: How To Analyse Jerks

07/20/2015 11:16 AM

At the risk of being labelled one:

Jerk is the third derivitive of position with respect to time.

Yank is Jerk x mass

Jounce is the fourth derivitive of position with respect to time or the rate of change of Jerk. (NASA actually specified maximum Jounce for the Hubble Space Telescope)

https://en.wikipedia.org/wiki/Jounce

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#12
In reply to #9

Re: How To Analyse Jerks

07/20/2015 1:05 PM

After you posted that a Yank is a Massive Jerk I didn't know whether to be offended or to ask if you have been talking to my wife.

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#16
In reply to #12

Re: How To Analyse Jerks

07/20/2015 10:04 PM

That would depend on who you really are! Posting anonym does not make it easy to speak to your wife, would you not thing? . . .

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#21
In reply to #16

Re: How To Analyse Jerks

07/21/2015 9:19 AM

Then again, perhaps AP#1 does not want to speak to his wife either?

(Shutting up now, this is getting to close to 'yo mamma' jokes for my comfort in a public forum. I fully respect all women, and ESPECIALLY all mothers. Think back to your own childhood, if you had to deal with yourself as a baby/toddler, would you have resisted the urge to slap your young head clean off at the neck? Mothers put up with things that would strain the patience of SAINTS.)

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#22
In reply to #21

Re: How To Analyse Jerks

07/21/2015 9:41 AM

I note, yet again, a score of 5 off-topic, a score which is by far the most common, apart from the odd 1-2. Is there a Gang of Five to be wary of?

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#23
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Re: How To Analyse Jerks

07/21/2015 10:17 AM

If you 'self-mark' as Off Topic, your vote counts for 5.

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#24
In reply to #23

Re: How To Analyse Jerks

07/21/2015 10:45 AM

And, if the mods mark it as OT it counts as 5, too.

There is no "Gang of 5."

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#26
In reply to #24

Re: How To Analyse Jerks

07/21/2015 11:00 AM

When moderator Merph was around, he once gave 10,000 OT's to somebody--Doorman, iirc.

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#29
In reply to #26

Re: How To Analyse Jerks

07/21/2015 11:47 AM

Dang, now THAT'S showing someone the door, throwing them through it, THEN opening the door after they've left.

I can't even think of what he had to to to get smacked that hard, then again, most of what I *CAN* think of is weak puns and jokes so old that after God said 'Let There Be Light,' he saw the list and said, "Dude, The Universe Has Only Been Around For Seven Seconds, And These Jokes Were Old Last Year."(1)

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  1. Yeah, when I'm doing 'God speak,' I have to capitalize every word, it's just how loud and booming the Voice seems to be. It could have been worse, I could have been using BRIAN BLESSED'S(2) voice for God.
  2. All caps, Bold, and (if the forum allows) one and a half to two times the size of the normal font. BRIAN BLESSED is, after all, the 'greatest actor in England, measured by volume.'
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#46
In reply to #29

Re: How To Analyse Jerks

07/22/2015 3:07 PM

Great, now I don't know if I got that GA vote for the door joke, the 'my jokes are so old' joke, or for the BRIAN BLESSED shout-out.

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#31
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Re: How To Analyse Jerks

07/21/2015 12:25 PM

He pointed those OTs out with pride, I might add.

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#27
In reply to #22

Re: How To Analyse Jerks

07/21/2015 11:29 AM

Thats what happens if you rate yourself off topic...

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#11

Re: How To Analyse Jerks

07/20/2015 12:10 PM

I'm not quite sure about your calculations but I've been doing a lot of work on analyzing the phenomenon of the Drift and Yank physics. It has to do with highway driving and the correlation of females driving while texting.

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#17
In reply to #11

Re: How To Analyse Jerks

07/20/2015 11:34 PM

This is something I have to digest: Woman driver and Jerks one and the same because of using a mobile phone???

.

... give me couple of month of field trialling . . .

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#13

Re: How To Analyse Jerks

07/20/2015 1:47 PM

When I need to analyze a jerk I typically just look in a mirror and say 'It's okay. Nature made you this way for a reason.' then go online and smile all day long knowing I am just being who I was created to be!

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#14
In reply to #13

Re: How To Analyse Jerks

07/20/2015 4:57 PM

Someone seems to be in their happy place.

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#15
In reply to #13

Re: How To Analyse Jerks

07/20/2015 5:45 PM

When I need to analyze a jerk, I read a post from an AP.

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#19
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Re: How To Analyse Jerks

07/21/2015 4:40 AM

LOVE IT!!

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