Abstract
Origami-inspired engineering design is increasingly used in the development of self-folding structures. The majority of existing self-folding structures either use a bespoke crease pattern to form a single structure, or a universal crease pattern capable of forming numerous structures with multiple folding steps. This paper presents a new approach whereby multiple distinct, rigid-foldable crease patterns are superimposed in the same sheet such that kinematic independence and 1-DOF mobility of each individual pattern is preserved. This is enabled by the cross-crease vertex, a special configuration consisting of two pairs of collinear crease lines, which is proven here by means of a kinematic analysis to contain two independent 1-DOF rigid-foldable states. This enables many new origami-inspired engineering design possibilities, with two explored in depth: the compact folding of non-flat-foldable structures and sequent folding origami that can transform between multiple states without unfolding.
Highlights
Origami-inspired engineering design is increasingly used in the development of self-folding structures
This paper presents a new approach whereby multiple distinct, rigid-foldable crease patterns are superimposed in the same sheet such that kinematic independence and 1-degrees of freedom (DOF) mobility of each individual pattern is preserved
This is enabled by the cross-crease vertex, a special configuration consisting of two pairs of collinear crease lines, which is proven here by means of a kinematic analysis to contain two independent 1-DOF rigid-foldable states
Summary
Xiang Liu[1], Joseph M. This is enabled by the cross-crease vertex, a special configuration consisting of two pairs of collinear crease lines, which is proven here by means of a kinematic analysis to contain two independent 1-DOF rigid-foldable states This enables many new origami-inspired engineering design possibilities, with two explored in depth: the compact folding of non-flat-foldable structures and sequent folding origami that can transform between multiple states without unfolding. A substantial body of research into understanding the mathematics and kinematics of rigid-foldable origami patterns has enabled the above engineering explorations[14,15] These have shown that conditions for rigid-foldability and the degrees of freedom (DOF) are determined by the geometry of the origami crease pattern, a network of folding lines that are placed in a sheet and intersect at vertices[16]. Sheets can be created that contain multiple states with different or complementary functionality and substantial potential for application in origami-inspired engineering design
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