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Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method

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Abstract

Gridshells composed of elastically-bent profiles offer significant cost and time advantages during the production, transport and construction processes. Nevertheless, the shaping of the initially flat grid also generates important bending stresses on the structures, reducing therewith their bearing capacity against external loads. An optimisation of the grid topology in order to minimise the profiles curvature and, with it, the initial stresses is therefore crucial. In this paper a non-linear variational method for optimising topologies of elastic gridshells with regular and irregular meshes is presented. Different case studies of double-curved gridshells show the advantages and capacity of this method.

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Lafuente Hernández, E., Sechelmann, S., Rörig, T., Gengnagel, C. (2013). Topology Optimisation of Regular and Irregular Elastic Gridshells by Means of a Non-linear Variational Method. In: Hesselgren, L., Sharma, S., Wallner, J., Baldassini, N., Bompas, P., Raynaud, J. (eds) Advances in Architectural Geometry 2012. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1251-9_11

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  • DOI: https://doi.org/10.1007/978-3-7091-1251-9_11

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-1250-2

  • Online ISBN: 978-3-7091-1251-9