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, Research - Architectural Theory and Method

William Baker

Skidmore Owings & Merrill

Toby Mitchell

Skidmore Owings & Merrill

Alexander Sehlström

Chalmers, Architecture and Civil Engineering, Architectural theory and methods, Research - Architectural Theory and Method

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