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Maxwell–Rankine stress functions of membrane shells and their relation to that of planar funicular gridshells

Authors :
Chiang, Y.-C. (author)
Chiang, Y.-C. (author)
Publication Year :
2022

Abstract

This paper investigates the correlations among 3D graphic statics, Maxwell–Rankine stress function, and Pucher's equation (the governing equation of membrane shells). When there is only vertical load, a solution of Pucher's equation can be converted into a Maxwell–Rankine stress function. The resulting stress function can be further discretized into Rankine reciprocal diagrams. The analogous membrane shell will simultaneously be discretized into a gridshell, which has planar polygonal faces and prismatoidal Rankine diagrams. A family of analytical free-edge membrane shells is also presented. Once these membrane shells are discretized, they can have co-apex pyramidal Rankine diagrams. The resulting discretized Rankine diagrams provide an intuitive way for structure designers to perceive the equilibrium of shell structures.<br />Structural Design & Mechanics

Details

Database :
OAIster
Notes :
English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1340406381
Document Type :
Electronic Resource
Full Text :
https://doi.org/10.1016.j.ijsolstr.2022.111768