Scanning in 3D and analysing the models of Heinz Isler, the preliminary results

During his live Heinz Isler built around 1400 shell structures, until he deceased in 2009. Heinz Isler is part of a Swizz tradition of structural art in the 20th century, which includes engineers such as Robert Maillart, Othmar Ammann und Christian Menn [1]. During his live Heinz Isler developed several methods for physical form finding of his...

Force network analysis using complementary energy

The method presented solves statically indeterminate force networks, which are graphical representations of forces (force polygons) of a structure, by using complementary energy. Statically indeterminate force networks, which have nodes where four or more members come together, have for each node multiple possible force polygons that make...

Teaching Structures with Models: Experiences from Chile and the Netherlands

This paper states the importance of using scaled models for the teaching of structures in the curricula of Architecture and Structural Engineering studies. Based on 10 years’ experience working with models for different purposes, with a variety of materials and constructions methods, the authors will address the advantages and possible...

Reframing textiles into architectural systems: Construction of a membrane shell by patchwork

In this paper different qualities of architectural textile techniques and tectonics are explored. By using a reframing strategy micro techniques and tectonics as used in fashion and textile design are evolved into an architectural scale. To reveal the quality of this reframing procedure a case scenario has been executed. By reframing patchwork...

Discretised Airy stress functions and body forces

This paper extends polyhedral Airy stress functions to incorporate body forces. Stresses of an equilibrium state of a 2D structure can be represented by the sec- ond derivatives of a smooth Airy stress function and the integrals of body forces. In the absence of body forces, a smooth Airy stress function can be discretised into a polyhedron as...

An approach on form-diversity of free-form shells generated from numerical hanging models

The Vector Form Intrinsic Finite Element method and several other form-finding methods for general networks

Discrete networks is a kind of form-active structural system which actively change its shape under varying load conditions. And for this kind of structural system, form-finding is the initial and essential part in their design process. Before the computer age, people complete the form-finding process using physical models, while with the...

Form-finding of gridshells generated from hanging-chain models by using the Dynamic Relaxation method and the NURBS technique

Hanging models play an important role in shaping a structure since a very early age, and were favored by A. Gaudi, H. Isler, F. Otto and other architects or engineers. Nowadays, with the development of numerical analysis theory and computer technique, it is more accurate and convenient to simulate these physical models via numerical means. Based...

Finding Membrane Shells Subjected to Horizontal Body Forces with Radial Basis Functions

Membrane shells, which have minimized bending moments under certain load conditions, are regarded as ideal structural forms in terms of material efficiency. Most of the existing numerical form-finding methods are based on discretizing membranes into finite panels or funicular networks and focusing on gravitational loading only. In order to...

Direct gradient projection method with transformation of variables technique for structural topology optimization

This paper proposes an efficient and reliable topology optimization method that can obtain a black and white solution with a low objective function value within a few tens of iterations. First of all, a transformation of variables technique is adopted to eliminate the constraints on the design variables. After that, the optimization problem is...

Method for including restrained warping in traditional frame analyses

A form-finding method for membrane shells with radial basis functions

The equilibrium of a membrane shell is governed by Pucher's equation that is described in terms of the relations among the external load, the shape of the shell, and the Airy stress function. Most of the existing funicular form-finding algorithms take a discretized stress network as the input and find the shape. When the resulting shape does...

Reverse engineering of free form shell structures: From point cloud to finite element model

Many free form shell structures that have been designed and build in previous decades are fascinating structures. We can learn from these structures by analysing them and studying their structural behaviour. However, in some cases the geometry of these structures is not available; most notably the shapes of shell structures designed and build by...

How to understand ' Structural Morphology'?

Due to its wide range of related research contents and diversified research approaches, the term ‘Structural Morphology’ has not been clearly defined by the Structural Morphology Group (SMG) of the International Association for Shells and Spatial Structures (IASS), founded in 1991, although some scholars have given their own viewpoints. This...

Structural analysis of Heinz Isler’s bubble shell

This paper presents a detailed structural analysis of a bubble shell engineered by Heinz Isler. Through 3D scanning the geometry of this shell structure has become available to the authors. Structural analysis has not been possible before since the geometry of the shell was not available. The bubble shell was Isler’s most built type of shell. In...

Form-finding of shell structures generated from physical models

Vector form intrinsic finite element is a recently developed and promising numerical method for the analysis of complicated structural behavior. Taking the cable-link element as example, the framework of the vector form intrinsic finite element is explained first. Based on this, a constant strain triangle element is introduced, and relevant...

Size and Topology Optimization for Trusses with Discrete Design Variables by Improved Firefly Algorithm

Firefly Algorithm (FA, for short) is inspired by the social behavior of fireflies and their phenomenon of bioluminescent communication. Based on the fundamentals of FA, two improved strategies are proposed to conduct size and topology optimization for trusses with discrete design variables. Firstly, development of structural topology...