This article develops a vector-based 3D graphic statics framework that uses synthetic and
intuitive graphical means for the analysis and design of spatial structures such as networks …

In this paper, we introduce a structural form finding plugin called PolyFrame for the
Rhinoceros software. This plugin is developed based on the methods of 3D Graphic Statics …

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 …

Concepts from isotropic geometry, Timoshenko's shell theory, Airy stress functions and
Maxwell's reciprocal diagrams are combined in the design of plane-faced funicular …

The recently developed 3D graphic statics (3DGS) lacks a rigorous mathematical definition
relating the geometrical and topological properties of the reciprocal polyhedral diagrams as …

This paper introduces cellular sheaf theory to graphical methods and reciprocal
constructions in structural engineering. The elementary mechanics and statics of trusses are …

Abstract Structure's internal force transfer efficiency is the bases of pursuing the creative
structural form. This paper reveals the mechanical mechanisms of the bio-inspired …

Pure-compression shells have been the central topic in the form-finding of shells. This study
investigated tension-compression mixed-type shells by utilizing a NURBS-based …

This paper presents a new computational framework for 3D graphic statics based on the
concept of disjointed force polyhedra. At the core of this framework are the Extended …

Computational design of surfaces is ubiquitous across industrial design, with notable
exemplars in architecture and the automotive industry. In the latter, smooth surfaces with …