caa a22 4500 47703702X CHVBK 20180405111308.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF02439312 doi (NATIONALLICENCE)springer-10.1007/BF02439312 An impetus-striction simulation of the dynamics of an elastica [Elektronische Daten] [D. Dichmann, J. Maddocks] Summary: This article concerns the three-dimensional, large deformation dynamics of an inextensible, unshearable rod. To enforce the conditions of inextensibility and unshearability, a technique we call the impetus-striction method is exploited to reformulate the constrained Lagrangian dynamics as an unconstrained Hamiltonian system in which the constraints appear as integrals of the evolution. We show here that this impetus-striction formulation naturally leads to a numerical scheme which respects the constraints and conservation laws of the continuous system. We present simulations of the dynamics of a rod that is fixed at one end and free at the other. Springer-Verlag New York Inc., 1996 Dichmann D. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA aut Maddocks J. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA aut Journal of Nonlinear Science Springer-Verlag 6/3(1996-05-01), 271-292 0938-8974 6:3<271 1996 6 332 https://doi.org/10.1007/BF02439312 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02439312 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dichmann D. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA aut NATIONALLICENCE 700 1- Maddocks J. Institute for Physical Science and Technology, University of Maryland, 20742, College Park, MD, USA aut NATIONALLICENCE 773 0- Journal of Nonlinear Science Springer-Verlag 6/3(1996-05-01), 271-292 0938-8974 6:3<271 1996 6 332 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer