Discrete model of twisted rings
Abstract
A discrete model consisting N straight links and N springs is defined. The originally straight model is bent into a discrete torus, then it is twisted. The C2 symmetric shapes can be determined by four parameters, and there are three constrains. The equilibrium paths are determined by the simplex method (piecewise linear approximation). Global bifurcation diagrams, spatial equilibrium shapes and parasitic solutions are analysed.
References
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[2] B. D. Coleman, W . K. Olson, D. Swigon. Theory of sequence-dependent DNA elasticity. Journal of Chemical Physics, 118: 7127- 7140, 2003.
[3] D. J. Dichmann, Y. Li, J. H. Maddocks. Hamiltonian formulations and symmetries in rod mechanics. In J. P. Mesirov, K. Schulten, D. W. Sumners, eds., Mathematical Approaches to Biomolecular Structure and Dynamics, 71-113, Springer, New York, 1996.
[4] G. Domokos. A group theoretic approach to the geometry of elastic rings. J. Nonlinear Science, 5: 453-478, 1995.
[5] G. Domokos, T. Healey. Hidden symmetry of global solutions in twisted elastic rings. J. Nonlinear Science, 11: 47--67, 2001.
Published
2023-01-18
Issue
pp. 211-222
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Gaspar, Z., & Nemeth, R. (2023). Discrete model of twisted rings. Computer Assisted Methods in Engineering and Science, 11(2-3), 211-222. https://cames3.ippt.pan.pl/index.php/cames/article/view/1035
