Rigidity through a projective lens

A Nixon, B Schulze, W Whiteley - Applied Sciences, 2021 - mdpi.com
Featured Application The material in this article draws on, and has applications across a
range of applications in civil and structural engineering, mechanical engineering, computer …

[HTML][HTML] Numerical form-finding of tensegrity structures

GG Estrada, HJ Bungartz, C Mohrdieck - International Journal of Solids and …, 2006 - Elsevier
A novel and versatile numerical form-finding procedure that requires only a minimal
knowledge of the structure is presented. The procedure only needs the type of each …

Advanced form-finding of tensegrity structures

HC Tran, J Lee - Computers & structures, 2010 - Elsevier
A numerical method is presented for form-finding of tensegrity structures. The topology and
the types of members are the only information that requires in this form-finding process. The …

[HTML][HTML] Polarities in structural analysis and design: n-dimensional graphic statics and structural transformations

M Konstantatou, P D'Acunto, A McRobie - International Journal of Solids …, 2018 - Elsevier
This paper proposes a unified and entirely geometrical methodology for generating 2D and
3D force diagrams for given planar and spatial trusses in static equilibrium within the context …

A novel Genetic algorithm based form-finding approach towards the improved design of tensegrity utility bridge

S Kumar, N Aswal, S Sen - Structures, 2023 - Elsevier
The rapid growth of urbanization worldwide necessitates reliable infrastructure and efficient
support structures like utility bridges and tunnels. However, the design of such structures has …

[HTML][HTML] Advanced form-finding for cable-strut structures

HC Tran, J Lee - International Journal of Solids and Structures, 2010 - Elsevier
A numerical method is presented for form-finding of cable-strut structures. The topology and
the types of members are the only information that is required in this form-finding process …

Rigidity and polarity: II: Weaving lines and tensegrity frameworks

W Whiteley - Geometriae Dedicata, 1989 - Springer
Consider a weaving—a set of rods in the plane, woven over and under at their crossing
points. The theory of when such weavings are stable, or rigid, in the plane is developed as …

A study of the duality between planar kinematics and statics

O Shai, GR Pennock - 2006 - asmedigitalcollection.asme.org
This paper provides geometric insight into the correlation between basic concepts
underlying the kinematics of planar mechanisms and the statics of simple trusses. The …

A geodesic dome-type based on pure plate action

T Wester - International Journal of Space Structures, 1990 - journals.sagepub.com
In recent years a theory for pure plate-domes has been developed. The strength and global
stability for plate domes are based on membrane forces in the plates and and the transfer of …

Projective transformations of structural equilibrium

C Fivet - International Journal of Space Structures, 2016 - journals.sagepub.com
Direct methods that transform the geometry of a structure and conserve its static equilibrium
are of particular interest for designers. They allow the exploration of alternative solutions at …