From: "Charlie England ceengland7@gmail.com" <flyrotary@lancaironline.net>
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Subject: Re: [FlyRotary] Re: Balance prop
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
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Date: Fri, 19 Mar 2021 14:09:51 -0500
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It's been a while (north of 40 years), but IIRC, and you're using the 
circuit on the National datasheet,


I think it's a 12dB/octave filter. Each R/C pair should be 6dB slope.
R4 not grounded....?? It's been way too long; not sure what would happen 
if R4 is left floating. Infinite (open loop) gain?


On 3/19/2021 10:03 AM, Finn Lassen finn.lassen@verizon.net wrote:
> Found a soldering error on my circuit. So only 100x amplification and 
> a Q of 0.5 on the RC filter (not sure what that translates to in 
> dB/octave).
> (LM358 datasheet "DC-coupled low-pass RC active filter). R4 not 
> connected to ground. A = 1 + R3/R4. Q = 1/(3 - A). What does a 
> negative Q mean? Unfortunately with A = 3 filter starts oscillating.  
> So need to lower or increase filter amplification.
>
> Well, if there are two combustion events per rotation the near-sine 
> curve doesn't make any sense. Then there should be two cycles between 
> trigger pulses. If not combustion-related then a weight on one of the 
> four bolts should have reduced amplitude somewhat, but on each bolt it 
> got worse but didn't influence the curve much. Now I have no idea what 
> the curve comes from.
>
> I like the old school idea.
>
> As for flying off the hours and then flying to your place, the reason 
> I'm revisiting balancing now is that on my last flight I noticed a 
> vibration at 144 mph and 5,600 RPM. Took the prop off to recheck 
> static balance (didn't note where to put washers when I last did it 
> months ago). With the prop off, I thought I might try to check engine 
> balance (You mentioned reports of problems balancing geared Rotax and 
> Steve had mentioned that he first balanced the engine, then the prop.) 
> A week later I'm into filter theory, FFT (spectrum analysis) and so 
> on, trying to make my own instrumentation and balancer. Typical for me :(
> Should probably just have remounted the prop with the washers needed 
> from static balancing and gone flying. Oh, well...
>
> Then there's cooling. Tracy thinks my rad coolant deltas are still to 
> big. Need to get rid of 90 deg elbow in return line from one rad and 
> another in the supply to the other rad. Then there's oil and fuel 
> leaks ...  What to do first?
>
> Finn
>
> On 3/18/2021 7:38 PM, Charlie England ceengland7@gmail.com wrote:
>> Each rotor fires once per rev, so the engine has one torque pulse 
>> every 180 degrees of E-shaft rotation.
>>
>> If the sine wave might be combustion related, can you move the sensor 
>> array (both trigger and vibe sensor) 90 degrees & compare timing of 
>> the peaks to the original configuration? If it's combustion events, 
>> then sine wave will 'move' 90* earlier or later related to the 
>> trigger point. If it's actual imbalance, the peak should follow the 
>> sensor array.
>>
>> Filter frequencies are typically spec'd at the -3dB 'knee' point. So 
>> if the filter was constructed based on frequency 'x', then rolloff 
>> will start significantly sooner than the spec freq. How much sooner 
>> depends on what 'order' the filter is. 1st order (6 dB/octave) will 
>> begin to roll off *much* earlier, removing more in-band and *not* 
>> filter out as much out-of-band as a 3rd order filter (18 dB/octave), 
>> which has a much steeper slope. If you want to avoid affecting 
>> in-band levels, the cutoff must be significantly out of band. See the 
>> 'Butterworth' filter graph on Wikipedia. 
>> https://en.wikipedia.org/wiki/Low-pass_filter
>>
>> Have you thought about going 'old school' with balancing? Rig one of 
>> your LED landing lights to trigger off the peak pulse of the ADXL335, 
>> put a 'witness mark' on the face of the flywheel, and the strobe will 
>> show you the rotational position of the flywheel when the ADXL335 
>> feels the peak out-of-balance.
>>
>> Or, you could let an A&P do it. Or get on with flying your time off, 
>> and then fly it up here; I've got our EAA chapter's Dynavibe in my 
>> hangar...
>>
>> Charlie
>>
>> On 3/18/2021 3:38 PM, Finn Lassen finn.lassen@verizon.net wrote:
>>> LED and photo transistor in same housing. I put it inside  a 1/2" 
>>> CPVC tube so I can't read the part number.
>>>
>>> In an ideal world, a mass rotating around a center point should 
>>> produce a sine curve. But what if you have more than one mass? You 
>>> should be able to use vector math to find the resulting single 
>>> equivalent mass.
>>>
>>> However, looks like a combustion engine is not that simple. I'm now 
>>> fairly confident that the near-sine curve I see on the scope is 
>>> mainly the combustion event. Someone need to refresh my memory: how 
>>> many times does combustion occur per flywheel rotation? Looks to me 
>>> like one. Rotor 1, then next rotation rotor 2, then next rotation 
>>> the next surface of rotor 1, etc. Is that right?
>>>
>>> To make matters worse, you also have other sources of vibration: 
>>> alternator, water pump, etc. Their vibrations (different 
>>> frequencies) are added to the basic one period per flywheel sine 
>>> curve. If I'm right, the combustion event won't be a simple sine 
>>> curve either: a pulse resolves into multiple frequencies (spectrum).
>>>
>>> When you look at a scope the signal is not stable: any little 
>>> misfire will jar it up or down. Makes is really hard to read 
>>> amplitude on scope.
>>>
>>> In theory, a real effective low pass filter should remove all other 
>>> frequencies than the one you're interested in but doesn't seem to 
>>> work all that well in practice. So, back to FFT on my Arduino Nano. 
>>> Basically using FFT to produce a frequency spectrum.
>>>
>>> My Arduino program takes 128 samples with a sampling frequency of 
>>> 300 Hz. Sampling starts at the trigger pulse (may or may not be a 
>>> good idea). This is repeated 8 times and averages calculated. Then 
>>> the FFT transforms the 128 sample values into 64 frequency "bins", 
>>> the magnitude of each  are then plotted.
>>>
>>> Using Ernest's method, I took 5 readings (no nut, then a 1/4" lock 
>>> nut zip-tied to each bolt nut in turn), running engine at or just 
>>> below 3,000 RPM (50Hz). (Varied RPM slightly using mixture knob to 
>>> ensure got result in the 50 Hz bin only) (Basically using the FFT as 
>>> a band-pass filter.)
>>> Result was that the 4.4g weight worsened the amplitude at bolt 1, 2, 
>>> 3 and 4.
>>> No nut: 5-10 (varying between 5 and 10 on successive plots)
>>> Bolt 1: 20-22
>>> Bolt 2: 18-20
>>> Bolt 3: 30
>>> Bolt 4: 20-22
>>>
>>> So if adding a 4.4g weight increases vibration at least by a factor 
>>> 2 no matter where it's added, I decided that's good enough, removed 
>>> it and called it quits. Onto prop balancing. (Except, should 
>>> probably remove the PSRU and replace the oil seal now that the prop 
>>> is off ...)
>>>
>>> Now, my circuitry doesn't match theory. The LP filter op-amp should 
>>> have had a 3x amplification and 3db frequency at 120 Hz. A following 
>>> op-amp should have 100x amplification. Hooked up a generator to the 
>>> input instead of the ADXL335 and measured input and output. Filter 
>>> amp has no amplification and the filter seems to cut in way lower 
>>> than 120Hz. The following op-amp only seemed to have 80 to 90x 
>>> amplification. I should probably use low-noise op-amps as Charlie 
>>> suggested instead of the LM358. The LM358 runs on single-supply 
>>> voltage (5V) but that requires caps between filter output and 
>>> amplifier input. I guess I should make a schematic and submit for 
>>> critique. Got the theory from my electronic tech apprenticeship 
>>> papers back in 70's.
>>>
>>> As for measuring phase or angle on the scope, sort of can be done. 
>>> But again, this is not an electric motor!
>>>
>>> Also the FFT gives both amplitude and phase info for each frequency 
>>> "bin", but I have not been able to relate that to the trigger pulse. 
>>> Hmmm, now I think I get it. Supposed to have two channels being 
>>> sampled simultaneously: one the trigger pulse, two the 
>>> accelerometer. Not sure I want to spend more time on it at the 
>>> moment. The "nut" methods appear a lot simpler (although require 
>>> more runs).
>>>
>>> Finn
>
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    <div class="moz-cite-prefix">It's been a while (north of 40 years),
      but IIRC, and you're using the circuit on the National datasheet,
      <br>
      <img src="cid:part1.86DBA545.C9D3DC76@gmail.com" alt=""><br>
      <br>
      I think it's a 12dB/octave filter. Each R/C pair should be 6dB
      slope. <br>
      R4 not grounded....?? It's been way too long; not sure what would
      happen if R4 is left floating. Infinite (open loop) gain?<br>
      <br>
      <br>
      <br>
      <br>
      <br>
      On 3/19/2021 10:03 AM, Finn Lassen <a class="moz-txt-link-abbreviated" href="mailto:finn.lassen@verizon.net">finn.lassen@verizon.net</a> wrote:<br>
    </div>
    <blockquote type="cite" cite="mid:list-1325548@logan.com">Found a
      soldering error on my circuit. So only 100x amplification and a Q
      of 0.5 on the RC filter (not sure what that translates to in
      dB/octave).
      <br>
      (LM358 datasheet "DC-coupled low-pass RC active filter). R4 not
      connected to ground. A = 1 + R3/R4. Q = 1/(3 - A). What does a
      negative Q mean? Unfortunately with A = 3 filter starts
      oscillating.  So need to lower or increase filter amplification.
      <br>
      <br>
      Well, if there are two combustion events per rotation the
      near-sine curve doesn't make any sense. Then there should be two
      cycles between trigger pulses. If not combustion-related then a
      weight on one of the four bolts should have reduced amplitude
      somewhat, but on each bolt it got worse but didn't influence the
      curve much. Now I have no idea what the curve comes from.
      <br>
      <br>
      I like the old school idea.
      <br>
      <br>
      As for flying off the hours and then flying to your place, the
      reason I'm revisiting balancing now is that on my last flight I
      noticed a vibration at 144 mph and 5,600 RPM. Took the prop off to
      recheck static balance (didn't note where to put washers when I
      last did it months ago). With the prop off, I thought I might try
      to check engine balance (You mentioned reports of problems
      balancing geared Rotax and Steve had mentioned that he first
      balanced the engine, then the prop.) A week later I'm into filter
      theory, FFT (spectrum analysis) and so on, trying to make my own
      instrumentation and balancer. Typical for me :(
      <br>
      Should probably just have remounted the prop with the washers
      needed from static balancing and gone flying. Oh, well...
      <br>
      <br>
      Then there's cooling. Tracy thinks my rad coolant deltas are still
      to big. Need to get rid of 90 deg elbow in return line from one
      rad and another in the supply to the other rad. Then there's oil
      and fuel leaks ...  What to do first?
      <br>
      <br>
      Finn
      <br>
      <br>
      On 3/18/2021 7:38 PM, Charlie England <a class="moz-txt-link-abbreviated" href="mailto:ceengland7@gmail.com">ceengland7@gmail.com</a> wrote:
      <br>
      <blockquote type="cite">Each rotor fires once per rev, so the
        engine has one torque pulse every 180 degrees of E-shaft
        rotation.
        <br>
        <br>
        If the sine wave might be combustion related, can you move the
        sensor array (both trigger and vibe sensor) 90 degrees &amp;
        compare timing of the peaks to the original configuration? If
        it's combustion events, then sine wave will 'move' 90* earlier
        or later related to the trigger point. If it's actual imbalance,
        the peak should follow the sensor array.
        <br>
        <br>
        Filter frequencies are typically spec'd at the -3dB 'knee'
        point. So if the filter was constructed based on frequency 'x',
        then rolloff will start significantly sooner than the spec freq.
        How much sooner depends on what 'order' the filter is. 1st order
        (6 dB/octave) will begin to roll off *much* earlier, removing
        more in-band and *not* filter out as much out-of-band as a 3rd
        order filter (18 dB/octave), which has a much steeper slope. If
        you want to avoid affecting in-band levels, the cutoff must be
        significantly out of band. See the 'Butterworth' filter graph on
        Wikipedia. <a class="moz-txt-link-freetext" href="https://en.wikipedia.org/wiki/Low-pass_filter">https://en.wikipedia.org/wiki/Low-pass_filter</a>
        <br>
        <br>
        Have you thought about going 'old school' with balancing? Rig
        one of your LED landing lights to trigger off the peak pulse of
        the ADXL335, put a 'witness mark' on the face of the flywheel,
        and the strobe will show you the rotational position of the
        flywheel when the ADXL335 feels the peak out-of-balance.
        <br>
        <br>
        Or, you could let an A&amp;P do it. Or get on with flying your
        time off, and then fly it up here; I've got our EAA chapter's
        Dynavibe in my hangar...
        <br>
        <br>
        Charlie
        <br>
        <br>
        On 3/18/2021 3:38 PM, Finn Lassen <a class="moz-txt-link-abbreviated" href="mailto:finn.lassen@verizon.net">finn.lassen@verizon.net</a> wrote:
        <br>
        <blockquote type="cite">LED and photo transistor in same
          housing. I put it inside  a 1/2" CPVC tube so I can't read the
          part number.
          <br>
          <br>
          In an ideal world, a mass rotating around a center point
          should produce a sine curve. But what if you have more than
          one mass? You should be able to use vector math to find the
          resulting single equivalent mass.
          <br>
          <br>
          However, looks like a combustion engine is not that simple.
          I'm now fairly confident that the near-sine curve I see on the
          scope is mainly the combustion event. Someone need to refresh
          my memory: how many times does combustion occur per flywheel
          rotation? Looks to me like one. Rotor 1, then next rotation
          rotor 2, then next rotation the next surface of rotor 1, etc.
          Is that right?
          <br>
          <br>
          To make matters worse, you also have other sources of
          vibration: alternator, water pump, etc. Their vibrations
          (different frequencies) are added to the basic one period per
          flywheel sine curve. If I'm right, the combustion event won't
          be a simple sine curve either: a pulse resolves into multiple
          frequencies (spectrum).
          <br>
          <br>
          When you look at a scope the signal is not stable: any little
          misfire will jar it up or down. Makes is really hard to read
          amplitude on scope.
          <br>
          <br>
          In theory, a real effective low pass filter should remove all
          other frequencies than the one you're interested in but
          doesn't seem to work all that well in practice. So, back to
          FFT on my Arduino Nano. Basically using FFT to produce a
          frequency spectrum.
          <br>
          <br>
          My Arduino program takes 128 samples with a sampling frequency
          of 300 Hz. Sampling starts at the trigger pulse (may or may
          not be a good idea). This is repeated 8 times and averages
          calculated. Then the FFT transforms the 128 sample values into
          64 frequency "bins", the magnitude of each  are then plotted.
          <br>
          <br>
          Using Ernest's method, I took 5 readings (no nut, then a 1/4"
          lock nut zip-tied to each bolt nut in turn), running engine at
          or just below 3,000 RPM (50Hz). (Varied RPM slightly using
          mixture knob to ensure got result in the 50 Hz bin only)
          (Basically using the FFT as a band-pass filter.)
          <br>
          Result was that the 4.4g weight worsened the amplitude at bolt
          1, 2, 3 and 4.
          <br>
          No nut: 5-10 (varying between 5 and 10 on successive plots)
          <br>
          Bolt 1: 20-22
          <br>
          Bolt 2: 18-20
          <br>
          Bolt 3: 30
          <br>
          Bolt 4: 20-22
          <br>
          <br>
          So if adding a 4.4g weight increases vibration at least by a
          factor 2 no matter where it's added, I decided that's good
          enough, removed it and called it quits. Onto prop balancing.
          (Except, should probably remove the PSRU and replace the oil
          seal now that the prop is off ...)
          <br>
          <br>
          Now, my circuitry doesn't match theory. The LP filter op-amp
          should have had a 3x amplification and 3db frequency at 120
          Hz. A following op-amp should have 100x amplification. Hooked
          up a generator to the input instead of the ADXL335 and
          measured input and output. Filter amp has no amplification and
          the filter seems to cut in way lower than 120Hz. The following
          op-amp only seemed to have 80 to 90x amplification. I should
          probably use low-noise op-amps as Charlie suggested instead of
          the LM358. The LM358 runs on single-supply voltage (5V) but
          that requires caps between filter output and amplifier input.
          I guess I should make a schematic and submit for critique. Got
          the theory from my electronic tech apprenticeship papers back
          in 70's.
          <br>
          <br>
          As for measuring phase or angle on the scope, sort of can be
          done. But again, this is not an electric motor!
          <br>
          <br>
          Also the FFT gives both amplitude and phase info for each
          frequency "bin", but I have not been able to relate that to
          the trigger pulse. Hmmm, now I think I get it. Supposed to
          have two channels being sampled simultaneously: one the
          trigger pulse, two the accelerometer. Not sure I want to spend
          more time on it at the moment. The "nut" methods appear a lot
          simpler (although require more runs).
          <br>
          <br>
          Finn
          <br>
        </blockquote>
      </blockquote>
      <br>
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