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TECHNICAL PAPERS

A Mathematical Model for the Strained Shape of a Large Scientific Balloon at Float Altitude

[+] Author and Article Information
F. Baginski, W. Collier

Department of Mathematics, George Washington University, Washington, DC 20052

J. Appl. Mech 67(1), 6-16 (Oct 12, 1999) (11 pages) doi:10.1115/1.321145 History: Received January 03, 1997; Revised October 12, 1999
Copyright © 2000 by ASME
Topics: Stress , Shapes , Design
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References

Figures

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(a) Sf–half-gore in the flat reference configuration; (b) unstrained curved configuration; (c) Sf–deformed half-gore
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(a) Typical quadrilateral in the reference configuration Sf defined by Vi,j; (b) distorted quadrilateral in the deformed configuration Sf defined by vi,j
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(a) Profiles of natural-shape and tapered natural shape designs (⋯) and strained shapes (—); (b) one-half load tape tension at nominal conditions; ⊗ marks the range of the fold
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Averaged principal stress resultants (N/cm) for nominal float conditions; (a) μ⁁1,q–circumferential stress resultants, (b) μ⁁2,q–meridional stress resultants; ⊗ marks the range of the fold
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(a) Profiles of tapered shape design (⋯) and strained shapes (—) for Cases II(a)–(d); (b) one-half load tape tensions; ⊗ marks the range of the fold
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Averaged principal stress resultants (N/cm) (μ⁁1,q,μ⁁2,q) for Cases II(a)–(d); (a)–circumferential stress resultants; (b)–meridional stress resultants; ⊗ marks the range of the fold

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