Optimization of barrel vault surfaces using energetic potential method
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Issue Vol. 12 No. 4 (2016)
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Optimization of barrel vault surfaces using energetic potential method
Kajetan Sadowski61-67
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Abstract
Spatial structures are one of the most popular structural systems used to cover large spaces. Arrangement of the bars and nodes has a big influence on the distribution of forces inside the structure. Author was developing the method of dividing a surface which was called the energetic potential method. It is based on a natural process we know as the Coulomb Law. Using it we can create a self-optimizing structure where all of its nodes, mutually repulsing, are finally located in a similar distance to one another. Thanks to special computer program written by Author it was possible to generate a lot of structures with unique topology and after that could do a static analysis of them. After those it was found that some structures have a better ratio than popular structures so Author suppose that the method can have practical application in future [4].
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References
Berezin A.A., 1985, An unexpected result in classical electrostatics. Nature, 315/1985, 104. DOI: https://doi.org/10.1038/315104b0
Edmundson J.R., 1992, The distribution of point charges on the surface of a sphere. ActaCryst, A48/1992, 60-69. DOI: https://doi.org/10.1107/S0108767391009133
Nurmela K.J., 1997, Minimum-Energy Point Charge Configuration on a Curcular Disk. Univer-sity of Technology, Digital Systems Laboratory, Series A: Research Reports nr 43, Helsinki, 1997.
Sadowski K., 2004, Electric charges behaviour analogy applied to structural optymization of flat and barrel vaulted grids. X Lightweight structures in civil engineering. Local seminar of IASS Polish Chapter, Micro-Publisher ‘Jan Obrębski’ Wydawnictwo Naukowe, 2004, 217-219.
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