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Analysis of a partially loaded paraboloid of revolution and possible approximations of its solution
Author(s) -
Béla Bogdándy,
István Hegedüs
Publication year - 2016
Publication title -
international review of applied sciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.165
H-Index - 5
eISSN - 2063-4269
pISSN - 2062-0810
DOI - 10.1556/1848.2016.7.1.4
Subject(s) - paraboloid , limit (mathematics) , bent molecular geometry , mathematics , order (exchange) , action (physics) , mathematical analysis , geometry , surface (topology) , physics , structural engineering , engineering , finance , quantum mechanics , economics
In this paper a partially loaded paraboloid of revolution is investigated by the theory of bent shallow shells. After establishing the sixth order linear system of equations it is concluded that the unknown coefficients cannot be expressed, cannot be given as practical formulas, thus useful approximate solutions are constructed for practical usage. The applicability limit of the column reaction approximated by concentrated load is investigated and the generated error of membrane action for this approximation is determined.

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