Structural modelling of deformable screens for large door openings

Authors

  • Cameron Hall Mathematical Institute, University of Oxford
  • Matthew Mason School of Civil Engineering, University of Queensland
  • Steven Psaltis School of Mathematical Sciences, Queensland University of Technology
  • Matthew Chan School of Mathematics and Statistics, University of Sydney
  • Eamon Conway School of Mathematical Sciences, Queensland University of Technology
  • Brody Foy School of Mathematical Sciences, Queensland University of Technology
  • Sayyed Mirnaziry School of Mathematical and Physical Sciences, University of Technology Sydney
  • Danya Rose School of Mathematics and Statistics, University of Sydney
  • Stephen Taylor Mathematics Department, University of Auckland
  • Jakub Tomczyk School of Mathematics and Statistics, University of Sydney

DOI:

https://doi.org/10.21914/anziamj.v57i0.10156

Keywords:

MISG, mathematical modelling, deformable, screen, membrane

Abstract

The mathematical modelling of deformable, permeable screen doors was explored to assess their behaviour under wind loading. A load-response model was proposed whereby the wind load was modelled using a simplified approach that allowed it to be approximated as a uniformly distributed pressure load with empirical modification factors applied to relate it to the real case of a door on a building. Several approaches were adopted to model the mechanical behaviour of the door system in response to load, including discrete models based on mass-spring systems, continuum models based on the membrane equations (including tension modulation in some cases), and computational models using finite element packages. The primary aim of the work was to determine the distribution of wind load to the door's supporting `tabs' and estimate a failure wind speed. The mass-spring model and the membrane models without tension modulation both generated unrealistic deflection magnitudes in response to wind load, but could be calibrated in future work, and then used to obtain an estimate of the total force on the tabs. A tension-modulated version of the membrane model performed better with regards to deflected shape and magnitude, but time constraints meant that the load on the tabs was not calculated. Preliminary validation experiments were undertaken and deflected shape and magnitude were successfully measured in response to given wind speeds. References
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Published

2016-08-03

Issue

Section

Proceedings of the Mathematics in Industry Study Group