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.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. https://doi.org/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. Preprints2020, 2020120355. https://doi.org/10.20944/preprints202012.0355.v1
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.v1
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.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.
force diagram; Airy stress function; graphic statics; form-finding; membrane shell; tension-compression mixed type shell; asymptotic lines; wave equation
Subject
Engineering, Automotive 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.