Multistable grid and honeycomb shells

Loukaides, Evripides G.; Seffen, Keith A.

doi:10.1016/j.ijsolstr.2015.01.002

Cited by 10 publications

(10 citation statements)

References 25 publications

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“…The availability of bistability for honeycombs and gridshells was first established in Loukaides and Seffen (2015). In that work, an analytical investigation began by considering the homogenized properties of a square lattice of beams.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…Figure 1 shows a typical initial configuration for an orthotropic cylindrical square gridshell of radius ρ and central angle θ . Note that to achieve the desirable properties, the square pattern is at 45 • , as detailed in Loukaides and Seffen (2015). The same figure shows the dimensions that define the local geometry and in particular the height, h, width, w, and length, d, of the ligaments.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…As in Loukaides and Seffen (2015), we are interested in the stiffness when the lattice is rotated by π/4 rad. Applying a rotational transformation, T π/4 , consistent with CLT, we produce:…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…In previous work, the numerical modeling of the gridshells was simplified by considering only slender local elements (Loukaides and Seffen, 2015). In FEA terms, the ligaments representing the local geometry were either composed of beam or shell elements.…”

Section: Numerical Examinationmentioning

confidence: 99%

“…Anisotropy encourages additional features, such as tristability (Vidoli and Maurini, 2008;Giomi and Mahadevan, 2012;Loukaides, 2014). Most recently, a curved square gridshell was shown to be bistable (Loukaides and Seffen, 2015). That study provides context for the present work, but focused on the theoretical treatment of the behavior.…”

Section: Introductionmentioning

confidence: 99%

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Expanding the Build Plate: Functional Morphing 3D Printed Structures Through Anisotropy

Loukaides

2020

Front. Mater.

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Certain types of patterned metamaterials-gridshells and honeycombs-are capable of bistable behavior through a tailored combination of local and global geometric parameters. This is an alternative to prestressed or composite materials, which are typically used to induce multistability in thin structures. Globally bistable structures, contrary to arrays of bistable elements, allow large deformations in a single step. Furthermore, this category of structures offers greater manufacturability and scalability compared to laminate, prestressed, or multimaterial shells, since only geometry has to be considered. The simplicity of the material and geometrical requirements afford the designer easy and direct embedding in larger functional structures. In this study, the local and global response of bistable gridshells is interrogated through a manageable strain energy model, as well as through numerical and experimental methods. In addition, construction of bistable gridshells by employing various additive methods is examined and prototypes are presented for a series of functional devices. Finally, the availability of printed parts much larger than the build plate using commercial 3D printers is demonstrated, effectively "expanding" the dimensions of the build plate.

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Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Theoretical Backgroundmentioning

confidence: 99%

Section: Numerical Examinationmentioning

confidence: 99%