Robert James Matthys's Accurate Clock Pendulums PDF
By Robert James Matthys
The Shortt clock, made within the 1920's is the main recognized actual clock pendulum ever identified, having an accuracy of 1 moment in step with 12 months while saved at approximately consistent temperature. just about all of a pendulum clock's accuracy is living in its pendulum. If the pendulum is exact, the clock may be exact. during this ebook, the writer describes many clinical points of pendulum layout and operation basically with experimental information, and little arithmetic. it's been written, the entire diverse elements and features of the pendulum in nice element, bankruptcy by way of bankruptcy, reflecting the measure of cognizance useful for creating a pendulum run safely. the subjects coated comprise the dimensional balance of alternative pendulum fabrics, sturdy and bad suspension spring designs, the layout of mechanical joints and clamps, impact of quartz on accuracy, temperature reimbursement, air drag of other bob shapes and making s sinusoidal electromagnetic force. One complete bankruptcy is dedicated to uncomplicated methods of enhancing the accuracy of standard reasonably cheap pendulum clocks, that have a distinct development to the costlier designs of considerably well-made ones. This booklet will end up useful to somebody who desires to know the way to make a extra actual pendulum or pendulum clock.
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Additional info for Accurate Clock Pendulums
At a fixed Q level, the accuracy width of the broad line is about 3 orders of magnitude, or 1000 to 1. Even with a fixed Q, a clock accuracy variation of 1000 to 1 certainly leaves plenty of room for an individual clockmaker to express his own ideas and taste in clock design. Discussion I was not much impressed with the first argument for Q, as all of the components in its error equation were previously known. That is, to make an accurate pendulum clock, impulse it at the center of swing, as constantly and repeatedly as possible; and make the pendulum as efficient as possible, so that the impulse is as small as possible and disturbs the pendulum as little as possible.
Three different types of glasses were tested: fused silica (quartz), a borosilicate, and a sodalime (window) glass. They found that whatever the amount of initial strain that occurred during the first minute after the application of stress, during the following month, the strain would increase by a small amount directly proportional to the initial strain. 2% for the window glass. The increases in strain decreased exponentially with time over the 1-month interval. Moreover, when the applied stress was removed, the strain went most of the way back to zero in the first minute, but stopped slightly short of zero.
Starting from a general equation of motion and assuming a sinusoidal driving force, Bateman  derived an equation showing that the frequency error ⌬ in the frequency of a clock is proportional to the angle variation ⌬␤ in the basic drive angle ␤, and that it also varies inversely with both Q and the sine squared of the basic drive angle ␤: ⌬ ϭ ⌬␤ . 2Q sin2␤ This equation (Bateman’s eq. 12) says that a clock’s performance can be improved just by increasing its Q, without making any modifications to the escapement.
Accurate Clock Pendulums by Robert James Matthys