Morphing of curved corrugated shells

We have been constructing and investigating multistable corrugated shell structures. The multistability arises from the interaction between internal prestresses created during forming and nonlinear geometrical changes during deformation. Using a simplified analytical elastic model, we homogenize the properties of the shells through simultaneously considering the material on two scales: the ‘local’ scale of the isotropic material; and the ‘global’ scale of the corrugated sheet, which is then modelled as an equivalent flat sheet with anisotropic properties. This model is applied to simulate two modes of bistability observed in prototypes: first, prestressed corrugated shells that, when buckled, can coil up into a tube repeatably and reversibly; and second, corrugated sheets with a symmetry-breaking ‘twisting’ curvature. The model gives an intuitive understanding of the behaviour, and has enabled us to understand forming processes that give the behaviour we wish, including tristable shells that combine both bistable modes.

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OPTIMIZATION OF CORRUGATION PATTERN ON CORRUGATED SHELLS

Journal of Structural and Construction Engineering (Transactions of AIJ) ◽

10.3130/aijs.86.783 ◽

2021 ◽

Vol 86 (783) ◽

pp. 783-792

Author(s):

Kentarou DOI ◽

Kenji YAMAMOTO

Keyword(s):

Corrugated Shells

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Calculation of Cylindrical Corrugated Shells Using a Semi-Analytic Finite Element Method

Materials Science Forum ◽

10.4028/www.scientific.net/msf.931.3 ◽

2018 ◽

Vol 931 ◽

pp. 3-8 ◽

Cited By ~ 1

Author(s):

Eduard G. Yanukyan ◽

Anton Chepurnenko ◽

Batyr M. Yazyev ◽

Michael S. Turko

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wind Load ◽

Cylindrical Tank ◽

Shells Of Revolution ◽

Corrugated Shell ◽

Asymmetric Load ◽

Corrugated Shells ◽

Element Method

The method of calculating the shells of revolution for an asymmetric load using a semi-analytic finite element method is considered. An example is given of calculating a corrugated cylindrical tank for wind load. Comparison of meridional and annular forces is performed for a smooth and corrugated shell of identical dimensions.

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Corrugated Shells

Thin Shells ◽

10.1016/b978-0-08-023275-1.50015-2 ◽

1980 ◽

pp. 271-284

Author(s):

J.E. GIBSON

Keyword(s):

Corrugated Shells

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Membrane Solution of Fiber-Reinforced Corrugated Shells of Revolution

Journal of Composite Materials ◽

10.1177/002199836700100406 ◽

1967 ◽

Vol 1 (4) ◽

pp. 382-388 ◽

Cited By ~ 2

Author(s):

Harold G. Franklin

Keyword(s):

Coordinate System ◽

Thin Shell ◽

Middle Surface ◽

Loading Conditions ◽

Fiber Reinforced ◽

Shells Of Revolution ◽

Torsional Loading ◽

Explicit Formulas ◽

Orthogonal Coordinate System ◽

Corrugated Shells

A membrane solution of fiber-reinforced corrugated shells of revolution under axial and torsional loading is determined from the equations of a thin shell whose middle surface is referred to an orthogonal coordinate system. Explicit formulas for the stress resultants are determined and the displacements are stated in terms of simple quadratures without specifying the shape of the profile of the shell. It is found that the displacements are coupled under both loading conditions except when the orientation of the fibers are at the two extremes.

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Finite Element Analysis of Doubly Corrugated Shells

Journal of the Structural Division ◽

10.1061/jsdeag.0004458 ◽

1976 ◽

Vol 102 (10) ◽

pp. 2033-2051

Author(s):

Herbert A. Mang ◽

C. V. Girÿa Vallabhan ◽

Jimmy H. Smith

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Element Analysis ◽

Corrugated Shells

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