Theoretical Analysis of a Servo-Controlled Film-Tension System

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Publisher: SMPTE
Doc Type: Journal Article
Article Type: research-article
Abstract: Since 1945 there has been a tremendous advance in the theory of servo-mechanisms; in the motion-picture industry there have been a number of advances in the design of film take-up and tension devices, but most of these designs appear to have been rather empirical. A set of solutions and dimensionless graphs is presented which may be employed in solving some of these problems. A general analysis of a simple servo system such as might be used for a film take-up, film feed or a constant tension device shows how the initial differential equations are derived and then solved via Laplace transforms. The solutions are given in the time domain. The results are graphs in generalized coordinates from which tension overshoot, time of maximum overshoot and steady-state error may be predicted. Included in the analysis are tachometer and network compensation. Also included are the proper selection of motors, gear ratios and tension arms.
Publication Date: 1971-10-01
DOI: 10.5594/J05731
Link: https://doi.org/10.5594/J05731
Author(s): Manfred G. Mighelson

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Manfred G. Mighelson; Theoretical Analysis of a Servo-Controlled Film-Tension System, Journal of the SMPTE ( Volume: 80, Issue: 10, October 1971); SMPTE, 1971. Available at https://doi.org/10.5594/J05731

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Manfred G. Mighelson; Theoretical Analysis of a Servo-Controlled Film-Tension System, Journal of the SMPTE ( Volume: 80, Issue: 10, October 1971); SMPTE, 1971. Available at https://doi.org/10.5594/J05731

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<span class="citation">Manfred G. Mighelson; <cite>Theoretical Analysis of a Servo-Controlled Film-Tension System</cite>, Journal of the SMPTE ( Volume: 80, Issue: 10, October 1971); SMPTE, 1971. Available at <a href="https://doi.org/10.5594/J05731" target="_blank" rel="noopener">https://doi.org/10.5594/J05731</a></span>

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Manfred G. Mighelson; Theoretical Analysis of a Servo-Controlled Film-Tension System, Journal of the SMPTE ( Volume: 80, Issue: 10, October 1971); SMPTE, 1971
doi: 10.5594/J05731
url: https://doi.org/10.5594/J05731

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<li>
Manfred G. Mighelson; <cite id="bib-10-5594-j05731">Theoretical Analysis of a Servo-Controlled Film-Tension System</cite>, Journal of the SMPTE ( Volume: 80, Issue: 10, October 1971); SMPTE, 1971
<span class="doi">10.5594/J05731</span>
</li>