A model of a general elastic curved rod
Copyright policy )A model of a general elastic curved rod
AbstractWe indicate a new approach to the deformation of three‐dimensional curved rods with variable cross‐section. The model consists of a system of nine ordinary differential equations for which we prove existence and uniqueness via the coercivity of the association bilinear form. From the geometrical point of view, we are using the Darboux frame or a new local frame requiring just a C1‐parameterization of the curve. Our model also describes the deformation occurring in the cross‐sections of the rod. Copyright © 2002 John Wiley & Sons, Ltd.
- Romanian Academy Romania
- Weierstrass Institute for Applied Analysis and Stochastics Germany
- Weierstrass Institute Germany
- Leibniz Association Germany
ddc:510, three-dimensional curved rods, low geometrical regularity, Deformation of elastic rods, Uniqueness of solutions of equilibrium problems in solid mechanics, article, existence, uniqueness, variable cross-section, variable cross sections, nine ordinary differential equations, 510, Deformation of elastic rods -- low geometrical regularity -- variable cross sections, Global existence of solutions for equilibrium problems in solid mechanics, associated bilinear form, Darboux frame, coercivity, Rods (beams, columns, shafts, arches, rings, etc.), C(1)-parametrization
ddc:510, three-dimensional curved rods, low geometrical regularity, Deformation of elastic rods, Uniqueness of solutions of equilibrium problems in solid mechanics, article, existence, uniqueness, variable cross-section, variable cross sections, nine ordinary differential equations, 510, Deformation of elastic rods -- low geometrical regularity -- variable cross sections, Global existence of solutions for equilibrium problems in solid mechanics, associated bilinear form, Darboux frame, coercivity, Rods (beams, columns, shafts, arches, rings, etc.), C(1)-parametrization
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