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Mechanical Sciences An open-access journal for theoretical and applied mechanics
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Short summary
The problem of inverse folding, determining the distribution of creases according to the desired shape, requires luck and artist inspiration, and it is a very complicated process. Here, we try to solve an inverse folding problem about a folding toy and get some kirigami patterns. It opens up a new way to solve the problem and can also help students understand the theory of mechanisms and machines.
MS | Articles | Volume 12, issue 2
Mech. Sci., 12, 933–943, 2021
https://doi.org/10.5194/ms-12-933-2021
Mech. Sci., 12, 933–943, 2021
https://doi.org/10.5194/ms-12-933-2021

Research article 04 Oct 2021

Research article | 04 Oct 2021

A toy-inspired kirigami pattern and its kinematic performance by applying mechanisms and machine theory

Weiwei Lin et al.

Related subject area

Subject: Mechanisms and Robotics | Techniques and Approaches: Mathematical Modeling and Analysis
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The approximate calculation of the natural frequencies of a Stockbridge type vibration damper and analysis of natural frequencies' sensitivity to the structural parameters
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Semi-numerical analysis of a two-stage series composite planetary transmission considering incremental harmonic balance and multi-scale perturbation methods
Xigui Wang, Siyuan An, Yongmei Wang, Jiafu Ruan, and Baixue Fu
Mech. Sci., 12, 701–714, https://doi.org/10.5194/ms-12-701-2021,https://doi.org/10.5194/ms-12-701-2021, 2021
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Cited articles

Chen, Y., Peng, R., and You, Z.: Origami of thick panels, Science, 349, 396–400, https://doi.org/10.1126/science.aab2870, 2015. 
Chiang, C. H.: Kinematics of Spherical Mechanisms, Cambridge University Press, New York, 1988. 
Dai, J. S.: Screw algebra and kinematic approaches for mechanisms and robotics, Springer, London, 2014. 
Denavit, J. and Hartenberg, R. S.: A kinematic notation for lower-pair mechanisms based on matrices, J. Appl. Mech., 22, 215–221, https://doi.org/10.1115/1.4011045, 1955. 
Deng, A., Ji, B., Zhou, X., and You, Z.: Geometric design and mechanical properties of foldcores based on the generalized Resch patterns, Thin-Wall. Struct., 148, 106516, https://doi.org/10.1016/j.tws.2019.106516, 2020. 
Publications Copernicus
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Short summary
The problem of inverse folding, determining the distribution of creases according to the desired shape, requires luck and artist inspiration, and it is a very complicated process. Here, we try to solve an inverse folding problem about a folding toy and get some kirigami patterns. It opens up a new way to solve the problem and can also help students understand the theory of mechanisms and machines.
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