Abstract
Force density method together with topological mapping has been employed to perform the form-finding process of tension structures. Compression-only structures such as domes and vaults can be modelled if the former approach is modified. This modification consists of iteratively introducing the self-weight of the structure to be modelled until the equilibrium configuration is found. This method is similar to the hanging chain models employed by Antonio Gaudí when designing his structures. The approach allows rapidly changing the input parameters in order to get different equilibrium configurations.
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Carbonell-Márquez, J. F., Gil-Martín, L. M., Fernández-Ruíz, M. A., & Hernández-Montes, E. (2016). Topological design of compression structures. Archive of Applied Mechanics, 86(8), 1495–1508. https://doi.org/10.1007/s00419-016-1131-y
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