Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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)

How to cite: Miki, M.; Adiels, E.; Baker, W.; Mitchell, T.; Sehlstrom, A.; Williams, C. Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function. Preprints 2020, 2020120355 (doi: 10.20944/preprints202012.0355.v1). Miki, M.; Adiels, E.; Baker, W.; Mitchell, T.; Sehlstrom, A.; Williams, C. Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function. Preprints 2020, 2020120355 (doi: 10.20944/preprints202012.0355.v1).

Abstract

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.

Supplementary and Associated Material

http://mikity.wikidot.com/kingghidorah: gh definitions containing fully working codes written in pure C# provided.

Subject Areas

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

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