Abstract

The design of gridshell structures is a complicated process, as the resulting shape of structure depends on initial undeformed grid geometry as well as on the history of boundary conditions used to form the final structure. In practice, the physical model is often used to determine the shape of the structure and the initial grid at the same time. Introducing Isogeometric analysis into a design of gridshells simplifies the design process as the problem can be easily recalculated when initial grid or boundary conditions change and the resulting shape can be immediately illustrated. The presented paper discusses possibilities in isogeometric gridshell modeling and proposes possible solutions of identified problems.

Highlights

  • Gridshell is a light-weight structure gaining its strength from a doubly-curved geometry

  • When the desired shape is defined the structure is assessed in a Finite Element Method (FEM) solver, the analysis considers only the final shape of the structure

  • Isogeometric analysis has been introduced by Thomas Hughes in 2005 [2] with the aim to bridge the gap between the Computer-Aided Design (CAD) and the Finite Element Analysis (FEA)

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Summary

Introduction

Gridshell is a light-weight structure gaining its strength from a doubly-curved geometry. Such a structure is typically made of wood and it is constructed from initially straight grid of laths. Once the desired shape is reached, the joints are tightened in order to fix the in-plane rotation and stiffen the structure. The design process of a gridshell can be divided into three main parts: form-finding, analysis, and construction. Either physical modeling or computer simulation is used for form-finding, these methods (and available tools) do not provide knowledge about structural behavior. Our goal is to develop a complex tool for analysis assisted form-finding which would allow to find the optimal shape of gridshell and which would help to propose sequence of construction steps. The presented paper discusses the advantages of isogeometric gridshell modeling and points out some issues connected to its application

Isogeometric analysis of beams
NURBS-based analysis
Beam element formulation
Application to gridshells
Lath modeled by multiple patches
Conclusions
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