Abstract
This paper outlines a general mechanical formulation to computationally handle cable–rib structures by a consistent Complementarity Problem modellisation, so far considering potential material non–linearity within the ribs, localised at plastic joints, as per a classical plastic hinge hypothesis in the Limit Analysis of frames. The formulation is also outlined in a prototype self–made implementation, allowing to achieve and display first consistent results on sample test structures, for necessary understanding and control. This shows that the present modellisation concept, and implementation, shall constitute a liable mechanical tool for promising utilisation and end use adoption in different related application scenarios.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Cocchetti, G., Liu, R., Cornaggia, A., Ferrari, R., Rizzi, E.: Elastic–plastic optimisation of a cable–rib satellite antenna. Springer Book on Direct Methods for Limit States of Structures and Materials (DM2022), Eds. Giovanni Garcea and Dieter Weichert, Lecture Notes in Applied and Computational Mechanics 101, contribution earlier presented at DM2022 Workshop, University of Calabria, Arcavacata di Rende, Italy, 28 June 2022, 27 p. Springer Nature (2023). https://doi.org/10.1007/978-3-031-29122-7_3
Cocchetti, G., Cornaggia, A., Ferrari, R., Rizzi, E.: Limit Analysis based structural performance optimisation methodology for cable–rib aerospace antennas. In preparation
Cocchetti, G., Maier, G.: Elastic–plastic and limit-state analyses of frames with softening plastic-hinge models by mathematical programming. Int. J. Solids Struct. 40(25), 7219–7244 (2003). https://doi.org/10.1016/S0020-7683(03)00363-9
Ferrari R, Cocchetti G, Rizzi E. Limit Analysis of a historical iron arch bridge. Formulation and computational implementation. Comput. Struct. 175, 184–196 (2016). https://doi.org/10.1016/j.compstruc.2016.05.007
Ferrari, R., Cocchetti, G., Rizzi, E.: Effective iterative algorithm for the Limit Analysis of truss-frame structures by a kinematic approach. Comput. Struct. 197, 28–41 (2018). https://doi.org/10.1016/j.compstruc.2017.11.018
Cocchetti, G., Maier, G., Shen, X.P.: Piecewise linear models for interfaces and mixed mode cohesive cracks. Comput. Model. Eng. Sci. 3(3), 279–298 (2002). https://doi.org/10.3970/cmes.2002.003.279
Acknowledgements
The support by ministerial (MUR) funding “Fondi di Ricerca d'Ateneo ex 60%” at the University of Bergamo is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Cocchetti, G., Cornaggia, A., Ferrari, R., Rizzi, E. (2024). Consistent Complementarity Problem Formulation for the Mechanical Modellisation of Spatial Cable–Rib Structures. In: Gabriele, S., Manuello Bertetto, A., Marmo, F., Micheletti, A. (eds) Shell and Spatial Structures. IWSS 2023. Lecture Notes in Civil Engineering, vol 437. Springer, Cham. https://doi.org/10.1007/978-3-031-44328-2_70
Download citation
DOI: https://doi.org/10.1007/978-3-031-44328-2_70
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-44327-5
Online ISBN: 978-3-031-44328-2
eBook Packages: EngineeringEngineering (R0)