Discrete model of twisted rings

• Autorzy: Gáspár Z. , Németh R.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

discrete model; twisted rings

PL

model dyskretny

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2004
• Tom: Vol. 11, No. 2-3
• Strony: 211--222
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wykr.

Twórcy

autor

Gáspár Z.

• Budapest University of Technology and Economics, HAS-Research Group for Computational Structural Mechanics, H-1521 Budapest, Muegyetem rkp. 3., Hungary

autor

Németh R.

• Budapest University o Technology and Economics, Department of Structural Mechanics, H-1521 Budapest, Muegyetem rkp. 3., Hungary

Bibliografia

• [1] B.D. Coleman, D. Swigon, I. Tobias. Elastic stability of DNA configurations. II. Supercoiled plasmids with self-contact. Physical Review E, 61: 759-770, 2000.
• [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.
• [6] G. Domokos, I. Szeberenyi. A parallel hybrid approach to nonlinear boundary value problems. Computer Assisted Mechanics and Engineering Sciences, 11: 15-34, 2004.
• [7] Zs. Gaspar, G. Domokos, I. Szeberenyi. Parallel algorithm for the global computation of elastic bar structures. Computer Assisted Mechanics and Engineering Sciences, 4: 55-68, 1997.
• [8] Zs. Gaspar, R. Nemeth. A special shape of a twisted ring. Proc. of 2nd European Conference on Computational Mechanics, CD p. 11, 2001.
• [9] G. Karolyi , G. Domokos. Symbolic Dynamics of infinite depth: finding global invariants for BVPs. Physica D, 134: 316-336, 1999.
• [10] D. Swigon, B.D. Coleman, I. Tobias. The elastic rod model for DNA and its application to the tertiary structure of DNA minicircles and mononucleosonmes. Biophysical Journal, 74: 2515-2530, 1998.
• [11] J.M.T. Thompson, G.H.M. van der Heijden, S. Neukirch. Super-Coiling of DNA-Plasmids: the Generalised Ply. Proc. R. Soc. Land., Series A, 458: 959-985, 2001.