Geometry and Kinematics of Cylindrical Waterbomb Tessellation
نویسندگان
چکیده
Abstract Folded surfaces of origami tessellations have attracted much attention because they often exhibit nontrivial behaviors. It is known that cylindrical folded waterbomb tessellation called tube can transform into peculiar wave-like surfaces, but the theoretical reason why arise has been unclear. In this paper, we provide a kinematic model by parameterizing geometry module and derive recurrence relation between modules. Through visualization configurations tubes under proposed model, classify solutions three classes: cylinder solution, finite solution. stability bifurcation analyses dynamical system, investigate how behavior changes when crease pattern changed. Furthermore, prove existence solution around one solutions.
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Article history: Available online 4 September 2008
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ژورنال
عنوان ژورنال: Journal of Mechanisms and Robotics
سال: 2022
ISSN: ['1942-4302', '1942-4310']
DOI: https://doi.org/10.1115/1.4054478