Form-Finding of Shells Containing Both Tension and Compression Using the Airy Stress Function
Preprint, 2020

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.

graphic statics

asymptotic lines

membrane shell

tension-compression mixed type shell

force diagram

wave equation

Airy stress function

form-finding

Author

Masaaki Miki

University of Tokyo

Emil Adiels

Chalmers, Architecture and Civil Engineering, Architectural theory and methods

William Baker

Skidmore Owings & Merrill

Toby Mitchell

Skidmore Owings & Merrill

Alexander Sehlström

Chalmers, Architecture and Civil Engineering, Architectural theory and methods

Christopher John Kenneth Williams

Chalmers, Architecture and Civil Engineering, Architectural theory and methods

Subject Categories

Architectural Engineering

Applied Mechanics

Computational Mathematics

Mathematical Analysis

DOI

10.20944/preprints202012.0355.v2

More information

Latest update

1/18/2021