Precision pendulum techniques

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Precision pendulum techniques

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  • #632099
    John Haine
    Participant
      @johnhaine32865

      There seem to be at least 3 current threads running on this topic, each one started around a specific project but a lot of overlap and cross posting. I wondered if it might be a good idea to have a thread to pick up the various comments and discussions about precision "pendulum science" so that the "project" threads can focus more on the projects themselves?

      To kick this off, since the subject of Harrison's clocks has come up, I thought that I'd post this link to a collection of 3 articles that I wrote a few years back, two in Horological Science News with my friend Andrew Millington, and one (summary) in Horological Journal. I put these together for SoD yesterday but they may be of more general interest.

      https://drive.google.com/drive/folders/1BiBOr6Ep4ZcK9nwe3kslz8OVEx9blqLr?usp=sharing

      **LINK**

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      #3998
      John Haine
      Participant
        @johnhaine32865
        #632107
        Michael Gilligan
        Participant
          @michaelgilligan61133

          Well played, Sir yes

          MichaelG.

          #632108
          Clive Steer
          Participant
            @clivesteer55943

            John

            Thanks for the link to your articles which I've just glanced at now but will read in depth later.

            I'm going to the Frodsham workshop tomorrow and will see what info I can "extract" from the guys there that worked on finishing the Burgess Clock B. Of course they also made a replica of Harrisons H3 and finished Derek Pratt's H4.

            CS

            #632658
            Michael Gilligan
            Participant
              @michaelgilligan61133

              I knew I had seen this … but it’s taken a while to locate it again

              Fedchenko’s rather special pendulum suspension spring is described: **LINK**

              https://articles.adsabs.harvard.edu/pdf/1957SvA…..1..637F

              MichaelG.

              #632901
              Michael Gilligan
              Participant
                @michaelgilligan61133

                This, from the Letters in Horological Journal, May 1941 may be of interest:

                ed161ff6-70b5-40d4-95f4-bbb50e885a3e.jpeg

                647ae887-92a3-4326-9640-864353c2a935.jpeg

                .

                With the advantage of electronic camera-sensors at our disposal … this should be relatively simple to emulate.

                MichaelG.

                .

                Ref. __ https://clockdoc.org/gs/handler/getmedia.ashx?moid=57393&dt=3&g=1

                Note: Page 180 of the book is page 208 of the PDF, but it is really worth reading the whole chapter.

                Edited By Michael Gilligan on 10/02/2023 15:49:51

                #632905
                Michael Gilligan
                Participant
                  @michaelgilligan61133

                  I feel the need to express my understanding of Precision Pendulum mechanics, and this thread is probably the best place to ‘get it out of my system’.

                  I expect to be ignored and derided in approximately equal measure … but would be delighted if someone could engage in a reasonable discussion:

                  The Gilligan Manifesto is brief:

                  There are just two fundamental features of a time-keeping pendulum

                  1. its length
                  2. its angular excursion

                  and if we are to achieve precision then those are what need to be quantified.

                  There are many variables to consider …

                  but these ‘jointly and severally’ serve to vary 1. and/or 2.

                  MichaelG.

                  #632912
                  Martin Kyte
                  Participant
                    @martinkyte99762

                    and 3 it’s losses

                    and 4 any motion outside of the plane of swing

                    and maybe 5 any oscillation other than simple harmonic in the plane of swing

                    just thought I would add those for consideration

                    regards Martin

                    #632919
                    duncan webster 1
                    Participant
                      @duncanwebster1

                      And air density unless it's running in a vacuum.

                      #632947
                      Michael Gilligan
                      Participant
                        @michaelgilligan61133
                        Posted by Michael Gilligan on 10/02/2023 16:57:37:

                        […]

                        There are many variables to consider …

                        but these ‘jointly and severally’ serve to vary 1. and/or 2.

                        MichaelG.

                        .

                        Martin and Duncan

                        Thanks for your comments, but I intended that my closing remark should cover what you have mentioned.

                        MichaelG.

                        #632958
                        duncan webster 1
                        Participant
                          @duncanwebster1

                          Air density changes the apparent value of gravity, which isn't covered by your 2 points

                          #632968
                          Martin Kyte
                          Participant
                            @martinkyte99762

                            Flexibility of the rod and suspension are not really external variables but part of the pendulum in my book.

                            regards Martin

                            #632970
                            S K
                            Participant
                              @sk20060

                              I don't know. I always thought the two fundamental features of a time-keeping pendulum are (1) its period, and (2) its period. smiley

                              On a more serious note: I've wondered why the old-school "electrical timekeeping" pendulums didn't impulse electromagnetically. After all, they are equipped with an electromagnetic reset of the mechanical impulse mechanism. What was the problem? I suppose it was an inability to regulate an electronic impulse adequately?

                              Edited By S K on 10/02/2023 20:08:44

                              #632971
                              Michael Gilligan
                              Participant
                                @michaelgilligan61133

                                Fair cop … both Martin and Duncan

                                Although, clutching at straws, I might argue that these factors all change the actual or apparent length of the pendulum and/or the in-plane arc of the swing.

                                What I am trying to do is distill the essence of a real pendulum, as a next step from the simple hypothetical model of a dimensionless bob on the end of a weightless string, and isochronous.

                                There are endless complexities, but I thought it worth a go at this because the general topic of ‘pendulum mechanics’ seems to be attracting some interest on the forum, and it might help ease people into the subject.

                                MichaelG.

                                Edited By Michael Gilligan on 10/02/2023 20:15:12

                                #632974
                                Michael Gilligan
                                Participant
                                  @michaelgilligan61133
                                  Posted by S K on 10/02/2023 20:07:20:

                                  […]

                                  On a more serious note: I've wondered why the old-school "electrical timekeeping" pendulums didn't impulse electromagnetically. After all, they are equipped with an electromagnetic reset of the mechanical impulse mechanism. What was the problem? I suppose it was an inability to regulate an electronic impulse adequately?

                                   

                                  .

                                  I would commend the ‘Electrical Timekeeping’ book [linked above]

                                  and also ‘Electric Clocks’ https://clockdoc.org/?moid=57392

                                  MichaelG.

                                  Edited By Michael Gilligan on 10/02/2023 20:32:48

                                  #632978
                                  S K
                                  Participant
                                    @sk20060

                                    I've looked through it, but didn't find a discussion about that. I'm just going to go with an inadequate ability to regulate an electronic impulse, e.g. due to battery voltage declining, etc.

                                    #632981
                                    Michael Gilligan
                                    Participant
                                      @michaelgilligan61133
                                      Posted by S K on 10/02/2023 20:35:26:

                                      I've looked through it, but didn't find a discussion about that. I'm just going to go with an inadequate ability to regulate an electronic impulse, e.g. due to battery voltage declining, etc.

                                      .

                                      I hope you saw my edit … The slimmer volume contains a good history of early developments.

                                      Same author, same ‘old fashioned’ style that you disliked before … but worth the effort of reading.

                                      MichaelG.

                                      .

                                      Edit:__ Do bear in mind that Hope-Jones is describing the failings of the electromagnetic impulsing systems at a time when switches were mechanical things that robbed energy from the pendulum … his Synchronome Switch is perhaps more significant than the change from electromagnetic to mechanical impulsing.

                                      Edited By Michael Gilligan on 10/02/2023 21:02:06

                                      #632991
                                      Martin Kyte
                                      Participant
                                        @martinkyte99762

                                        I would consider the action of a roller falling under gravity for a fixed distance down a slope to be a more precise and constant impulse than an electromagnetic pulse even with fairly sophisticated electronics. As has been said the electromagnetic reset of the gravity arm on the synchronome is to ensure that the pendulum remains detached, that no energy is taken from it for the reset.

                                        A further refinement would be to replace the count wheel with electronic sensing and trip the gravity arm from that.

                                        Something which is effectively done in the Shortt Synchronome pairing.

                                        regards Martin

                                        Edited By Martin Kyte on 10/02/2023 22:15:28

                                        #633004
                                        duncan webster 1
                                        Participant
                                          @duncanwebster1

                                          John Reynolds described a 'detached falling ball' clock in BHI journal. This had gravity impulse but Hall effect sensors to drop the ball. I do have a copy of the article, but it is probably copyright. I'll dig it out tomorrow and do a precis. My involvement was to provide some sensors and a control board to lift/drop the ball, and divide by the right number to drive a slave clock. It will come as no surprise that this was based on the ubiquitous Arduino.

                                          #633006
                                          duncan webster 1
                                          Participant
                                            @duncanwebster1

                                            But having said all that, voltage regulators give a very stable output, and if you actually control amplitude I can't see small variations in impulse mattering over a sensible time frame. Waits to be shot down in flames.

                                            #633015
                                            Martin Kyte
                                            Participant
                                              @martinkyte99762
                                              Posted by duncan webster on 11/02/2023 00:02:50:

                                              But having said all that, voltage regulators give a very stable output, and if you actually control amplitude I can't see small variations in impulse mattering over a sensible time frame. Waits to be shot down in flames.

                                              Very true Duncan. I think there is an element of preference that starts to creep in, at least there is with me, as to what you consider to be proper to the pendulum and what can be considered external ‘helps’. I think if I went down the road of electromagnetic impulsing I would end up building an electronic clock. It’s a question of taste really. I’m an electronics engineer by profession and a mechanical’ for fun which I’m sure has a lot to do with it.

                                              Personally I like to think of the pendulum as a mechanical system and anything that directly influences it should be mechanical too. Otherwise I would see it as a hybrid system. As I say that’s just personal taste and nothing wrong with hybrids. Quartz oscillators are part mechanical when all said and done.

                                              regards Martin

                                              #633020
                                              Howi
                                              Participant
                                                @howi
                                                Posted by S K on 10/02/2023 20:07:20:

                                                I don't know. I always thought the two fundamental features of a time-keeping pendulum are (1) its period, and (2) its period. smiley

                                                Then you have to add in PMS. devil

                                                #633032
                                                Tony Jeffree
                                                Participant
                                                  @tonyjeffree56510

                                                  JH – thanks for the links – very interesting articles.

                                                  Seems to me that there have historically been two rather different extremes in the approaches taken to building a precision pendulum clock – the Harrison approach, where he accepted that there were environmental and mechaninal effects that would affect the timekeeping and carefully balanced them in order to create an accurate clock, and the Shortt et al approach, where the pendulum was as far as possible isolated from mechanical and environmental effects and mostly left free to vibrate as it will.

                                                  My own rather amateurish messing around with a "free" pendulum that is electromagnetically impulsed under the control of a single board computer has led me to start thinking about a third possible approach which takes advantage of the processing power and electronic sensors that could be applied to the problem – measure the environmental factors that could affect the pendulum (temperature, pressure, humidity,…), feed those measurements into the SBC, and use its processing power to determine how much impulse to give to the pendulum in order to correct for the environmental effects. Even for the lowly BBC Micro Bit that I am using has add-on boards that will measure temperature, pressure, and humidity. Obviously the calculation is probably going to be non-trivial, and the details specific to a particular pendulum, but in principle…?

                                                  …or are you all way ahead of me…?

                                                  Edited By Tony Jeffree on 11/02/2023 12:13:30

                                                  #633045
                                                  duncan webster 1
                                                  Participant
                                                    @duncanwebster1

                                                    I looked into the mathematics of larger amplitude pendulums. I'm still taking the paracetamol, very much more difficult than the usual approach. A previous thread has mentioned a 'eureka synchroniser' where the amplitude of a balance wheel is controlled to make it keep pace with a quartz crystal, so the principle is sound. However, I think the difficulty might be that the pendulum will take time to react both to environmental changes and to impulse changes. No doubt someone cleverer than me can sort it out

                                                    To digress slightly, magnetic impulse by attraction speeds a pendulum up, by repulsion slows it down, at least I think it does. Synchronomes and Pulsynetics drop their weights such that impulse is equal either side of centre. Anyone fancy a 3 phase linear motor with an aluminium vane on the end of the pendulum?

                                                    #633052
                                                    John Haine
                                                    Participant
                                                      @johnhaine32865

                                                      Yes, I think that's the problem. A high-Q pendulum can take hours to settle to the new amplitude you wanted to compensate for a time error, by which time it's too late! Better to have a system that directly "tunes" the pendulum like Robertson's regulator or the "ball chain" idea mentioned on here recently.

                                                      How impulsing affects rate depends on where it's done in the cycle. Whether you attract the bob to the right of repel it from the left, if you do so before BDC it speeds up the pendulum, if after it slows it down.

                                                      For larger amplitudes, to all intents and purposes you can ignore elliptic integrals and stuff (I've done so all my life!) and just use the rate proportional to 1+A^2/16 correction where A is the angle in radians – pretty accurate up to 10 degrees or so. Or Tom Van Baak gives a wonderfully easy and to all intents and purposes exact method of calculation here:

                                                      **LINK**

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