Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function

Masaaki Miki; Emil Adiels; William Baker; Toby Mitchell; Alexander Sehlstrom; Christopher Williams

doi:10.20944/preprints202012.0355.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 11 December 2020 / Approved: 14 December 2020 / Online: 14 December 2020 (18:11:58 CET)
Version 2 : Received: 15 December 2020 / Approved: 15 December 2020 / Online: 15 December 2020 (13:27:25 CET)

Pure-compression shells have been the central topic in the form-finding of shells. This paper studies tension-compression mixed type shells by utilizing a NURBS-based isogeometric form-finding approach that analyzes Airy stress functions to expand the possible plan geometry. A complete set of smooth version graphic statics tools is provided to support the analyses. The method is validated using examples with known solutions, and a further example demonstrates the possible forms of shells that the proposed method permits. Additionally, a guideline to configure a proper set of boundary conditions is presented through the lens of asymptotic lines of the stress functions.

force diagram; Airy stress function; graphic statics; form-finding; membrane shell; tension-compression mixed type shell; asymptotic lines; wave equation

Engineering, Civil Engineering

Comment 1

Received: 15 December 2020
Commenter: Masaaki Miki
Commenter's Conflict of Interests: Author

Comment: Abstract images reorganized.

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Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function

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