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. Preprints2020, 2020120355. https://doi.org/10.20944/preprints202012.0355.v2
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. https://doi.org/10.20944/preprints202012.0355.v2
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. Preprints2020, 2020120355. https://doi.org/10.20944/preprints202012.0355.v2
APA Style
Miki, M., Adiels, E., Baker, W., Mitchell, T., Sehlstrom, A., & Williams, C. (2020). Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function. Preprints. https://doi.org/10.20944/preprints202012.0355.v2
Chicago/Turabian Style
Miki, M., Alexander Sehlstrom and Christopher Williams. 2020 "Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function" Preprints. https://doi.org/10.20944/preprints202012.0355.v2
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.
Keywords
force diagram; Airy stress function; graphic statics; form-finding; membrane shell; tension-compression mixed type shell; asymptotic lines; wave equation
Subject
Engineering, Civil Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Masaaki Miki
Commenter's Conflict of Interests: Author