A Mathematical Analysis for Design of the Shape of Underwater Housings

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Publisher: SMPTE
Doc Type: Journal Article
Article Type: research-article
Abstract: An expression for a family of curves can offer valuable assistance to the designer when hydrodynamic stability, buoyancy, contents shape and operational depth impose stringent design specifications on underwater enclosures. As a basis for seeking a useable expression it is noted that the common spherical or cylindrical shapes for pressure vessels utilize a circular cross section easily defined in mathematical terms. Investigating the equation of a circle reveals that it can be modified to produce shape variations with extreme flexibility for enclosing a particular mechanism or component. These circle-variation equations, dubbed super-circles by Danish philosopher Piet Hein, have been utilized extensively by architects to shape buildings and landscapes.
Publication Date: 1973-12-01
DOI: 10.5594/J07637
Link: https://doi.org/10.5594/J07637
Author(s): Joe J. Lones

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Joe J. Lones; A Mathematical Analysis for Design of the Shape of Underwater Housings, Journal of the SMPTE ( Volume: 82, Issue: 12, December 1973); SMPTE, 1973. Available at https://doi.org/10.5594/J07637

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Joe J. Lones; A Mathematical Analysis for Design of the Shape of Underwater Housings, Journal of the SMPTE ( Volume: 82, Issue: 12, December 1973); SMPTE, 1973. Available at https://doi.org/10.5594/J07637

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<span class="citation">Joe J. Lones; <cite>A Mathematical Analysis for Design of the Shape of Underwater Housings</cite>, Journal of the SMPTE ( Volume: 82, Issue: 12, December 1973); SMPTE, 1973. Available at <a href="https://doi.org/10.5594/J07637" target="_blank" rel="noopener">https://doi.org/10.5594/J07637</a></span>

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Joe J. Lones; A Mathematical Analysis for Design of the Shape of Underwater Housings, Journal of the SMPTE ( Volume: 82, Issue: 12, December 1973); SMPTE, 1973
doi: 10.5594/J07637
url: https://doi.org/10.5594/J07637

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Joe J. Lones; <cite id="bib-10-5594-j07637">A Mathematical Analysis for Design of the Shape of Underwater Housings</cite>, Journal of the SMPTE ( Volume: 82, Issue: 12, December 1973); SMPTE, 1973
<span class="doi">10.5594/J07637</span>
</li>