The paper introduces a numerical shape-finding procedure for very thin continuous shells (thickness less than 10 cm): an assigned loading distribution is applied on a point-wise suspended membrane, which, after its deformation, is inverted to give the geometry of a reinforced concrete continuous shell. The procedure is an extension to the continuum case of previous ones introduced for gridshells. In the past it has been employed in an empirical way by several designers. The geometrically non-linear analysis of the membrane is carried out taking account of large displacements and finite rotations. Finally, the structural analysis of the shell, including stability aspects, is performed, for example, to check and control the membranal behaviour of the structure.
A numerical shape finding procedure for very thin shells / C. Borri; M. Orlando. - In: MECCANICA. - ISSN 0025-6455. - STAMPA. - 30/4:(1995), pp. 405-416. [10.1007/BF00993423]
A numerical shape finding procedure for very thin shells
BORRI, CLAUDIO;ORLANDO, MAURIZIO
1995
Abstract
The paper introduces a numerical shape-finding procedure for very thin continuous shells (thickness less than 10 cm): an assigned loading distribution is applied on a point-wise suspended membrane, which, after its deformation, is inverted to give the geometry of a reinforced concrete continuous shell. The procedure is an extension to the continuum case of previous ones introduced for gridshells. In the past it has been employed in an empirical way by several designers. The geometrically non-linear analysis of the membrane is carried out taking account of large displacements and finite rotations. Finally, the structural analysis of the shell, including stability aspects, is performed, for example, to check and control the membranal behaviour of the structure.
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