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FORMERLY-Math: Constrained Form Finding through Membrane Equilibrium Analysis in Mathematica

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FORMERLY-Math: Constrained Form Finding through Membrane Equilibrium Analysis in Mathematica

Documentation

FORMERLY-Math code is commented in order to explain its functionality to the final user.

Software History

This suite is an example of codes developed to conduct the constrained form-finding of unilateral membranes that can be applied for the design of new shell structures or for the static assessment of masonry vaults in the frame of Limit Analysis.

The underlying results are reported in the following publications:

  • C. Olivieri, S. Cocking, M. Angelillo, M. J. DeJong, Investigation of the response of a masonry arch railway bridge using membrane equilibrium analysis, 12th International Conference on Structural Analysis of Historical Constructions, SAHC 2021, Barcellona, Spain„ 2021.
  • C. Olivieri, A. Fortunato, M. DeJong, A new membrane equilibrium solution for masonry railway bridges: The case study of marsh lane bridge, International Journal of Masonry Research and Innovation 6 (4) (2021) 446–471.
  • C. Olivieri, M. Angelillo, A. Gesualdo, A. Iannuzzo, A. Fortunato, Parametric design of purely compressed shells, Mechanics of Materials 155 (2021) 103782
  • C. Olivieri, A. Montanino, A. Iannuzzo, I. Elia, F. L. Perelli, S. Adriaenssens, A continuous stress-based form finding approach for compressed membranes, International Journal of Masonry Research and Innovation (in press).

Reproducibility

Simulations done with FORMERLY-Math are fully reproducible

Author

Carlo Olivieri

Citing FORMERLY-Math

We kindly ask users to cite the following reference in any publications reporting work done with FORMERLY-Math:

  • C. Olivieri, M. Angelillo, A. Gesualdo, A. Iannuzzo, A. Fortunato, Parametric design of purely compressed shells, Mechanics of Materials 155 (2021) 103782
  • C. Olivieri, A. Montanino, A. Iannuzzo, I. Elia, F. L. Perelli, S. Adriaenssens, A continuous stress-based form finding approach for compressed membranes, International Journal of Masonry Research and Innovation (in press).

License

FORMERLY-Math is released under the MIT license. See the LICENSE file for details. All new contributions must be made under the MIT license.

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FORMERLY-Math: Constrained Form Finding through Membrane Equilibrium Analysis in Mathematica

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