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The use of virtual work for the formfinding of fabric, shell and gridshell structures
Paper in proceeding, 2018

The virtual work theorem is more general than the energy theorems, which it in- cludes as a special case. Hence it can be applied to surfaces which admit some form of potential, including minimal surfaces and hanging fabrics. We can then use the calculus of variations for the minimization of a surface integral to define the form of a structure.

Many existing formfinding techniques can be rewritten in this way, but we concen- trate on surfaces which minimize the surface integral of the mean curvature subject to a constraint on the enclosed volume, producing a surface of constant Gaussian curvature. This naturally leads to the more general study of conjugate stress and curvature directions, and hence to quadrilateral mesh gridshells with flat cladding panels and no bending moments in the structural members under own weight.

fabric

Virtual work

shell and gridshell structures

conjugate directions

calculus of variations

## Author

### Emil Adiels

Research - Architectural Theory and Method

### Mats Ander

Chalmers, Industrial and Materials Science, Material and Computational Mechanics

### Erica Hörteborn

Research - Architectural Theory and Method

### Jens Olsson

Research - Architectural Theory and Method

### Karl-Gunnar Olsson

Research - Architectural Theory and Method

### Alexander Sehlström

Chalmers, Architecture and Civil Engineering, Architectural theory and methods

### Paul Shepherd

University of Bath

### Christopher John Kenneth Williams

Research - Architectural Theory and Method

#### Proceedings of the Advances in Architectural Geometry conference 2018

286-315

978-3-903015-13-5 (ISBN)

Göteborg, Sweden,

### Subject Categories

Materials Chemistry

Composite Science and Engineering

Condensed Matter Physics