2013
DOI: 10.1016/j.jmps.2013.07.008
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Multi-stable cylindrical lattices

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Cited by 62 publications
(62 citation statements)
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“…33 Noticeably, geometric nonlinearity has recently been shown to be key in multi-stable structures 43 featuring more than one stable shape arise in a variety of natural and engineering systems. [44][45][46][47]49,50 However, there are not many studies on multi-stable helical ribbon structures involving both mechanical anisotropy and geometric nonlinearity, 30,49 although bistability in rod-like helices have been studied. 48 The recent studies on hinged multi-stable structures 30,49 have greatly expanded the design space for multi-stable structures with potential space applications.…”
mentioning
confidence: 99%
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“…33 Noticeably, geometric nonlinearity has recently been shown to be key in multi-stable structures 43 featuring more than one stable shape arise in a variety of natural and engineering systems. [44][45][46][47]49,50 However, there are not many studies on multi-stable helical ribbon structures involving both mechanical anisotropy and geometric nonlinearity, 30,49 although bistability in rod-like helices have been studied. 48 The recent studies on hinged multi-stable structures 30,49 have greatly expanded the design space for multi-stable structures with potential space applications.…”
mentioning
confidence: 99%
“…[44][45][46][47]49,50 However, there are not many studies on multi-stable helical ribbon structures involving both mechanical anisotropy and geometric nonlinearity, 30,49 although bistability in rod-like helices have been studied. 48 The recent studies on hinged multi-stable structures 30,49 have greatly expanded the design space for multi-stable structures with potential space applications. For example, Pirrera et al 49 designed and analyzed cylindrical lattices composed of hinged multiple helical strips that exhibit both bistability and neutral stability.…”
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confidence: 99%
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“…2) It is possible to replace the d-sphere with any algebraic set of dimension d and repeat our analysis. As an example, an analogue of Theorem 4.8 for concentric cylinders might be useful for understanding certain bacteriophages [18]. The key change is to the submatrix S(G, p) and hence to the dimension of the space of trivial motions.…”
Section: Symmetry-adapted Combinatorial Countsmentioning
confidence: 99%
“…As is often observed in biological systems, structural hierarchy offers potential mechanisms to achieve novel material characteristics [8][9][10]. In the composite system presented-itself inspired by the virus bacteriophage T4 [11]-the reinforcement comprises a helical lattice that is itself constructed from composite strips. This lattice is subsequently infiltrated with an elastic medium forming a hierarchical system.…”
Section: Introductionmentioning
confidence: 99%