Results 161 to 170 of about 315 (211)
ON THE NONLINEAR THEORY OF A SPACE CURVED ROD
Transactions of the Architectural Institute of Japan, 1979 openaire +2 more sources
Nonlinear Weakly Curved Rod by Γ-Convergence [PDF]
Journal of Elasticity, 2011 We present a nonlinear model of weakly curved rod, namely the type of curved rod where the curvature is of the order of the diameter of the cross-section. We use the approach analogous to the one for rods and curved rods and start from the strain energy functional of three dimensional nonlinear elasticity and do not presuppose any constitutional ...
Igor Velčić, Velčić Igor
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Derivation of a Curved Rod Model by Kirchhoff Assumptions
ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik, 1999 Using the so called Kirchhoff assumptions a special form of the equilibrium displacement for a three--dimensional curved rod-like elastic body is derived. The variational form of equilibrium equations of linearized elasticity written in terms of such special displacements reduces to a certain variational problem, called the curved rod model. This model
Tambača, Josip +2 more
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LINEAR CURVED ROD MODEL: GENERAL CURVE
Mathematical Models and Methods in Applied Sciences, 2001A one-dimensional model of a curved rod is derived from the three-dimensional linearized elasticity. No positivity assumption on the curvature of the central line of the curved rod is made. The model is obtained by taking the limit in the equilibrium equation of the three-dimensional elastic rod when the thickness of the rod goes to zero.
Jurak, Mladen, Tambača, Josip
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ELASTIC WAVES IN A NATURALLY CURVED ROD
Quarterly Journal of Mechanics and Applied Mathematics, 1961L S D Morley
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DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL
Mathematical Models and Methods in Applied Sciences, 1999A one-dimensional model of a curved rod is derived from the three-dimensional linearized elasticity. The model is obtained by taking the limit in the equilibrium equation of the three-dimensional elastic rod when the thickness of the rod goes to zero. The appropriate convergence result is proved.
Jurak, Mladen, Tambača, Josip
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2002
Recent results on mathematical modelling of curved rods are presented. More precisely, elastic behavior of a curved rod-like 3-D body is approximated by elastic behavior of its middle curve. The method of approximation is asymptotic expansion with respect to the small parameter diameter of the cross section of the rod).
Jurak, Mladen +2 more
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Recent results on mathematical modelling of curved rods are presented. More precisely, elastic behavior of a curved rod-like 3-D body is approximated by elastic behavior of its middle curve. The method of approximation is asymptotic expansion with respect to the small parameter diameter of the cross section of the rod).
Jurak, Mladen +2 more
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A Reduction Approximation Method for Curved Rods
Numerical Functional Analysis and Optimization, 2005We study the numerical approximation of a general linear model for three-dimensional clamped curved rods. We introduce a modified system and we show that the convergence of the numerical discretization is independent of the small parameters entering the coefficients of the differential equations.
Arnăutu, Viorel +2 more
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A Model of Irregular Curved Rods
2002In this paper we derive a model of curved elastic rods with a piecewise smooth middle curve from the model of curved rods with smooth middle curves. The obtained model is the same as the model of junction of two straight rods derived directly from the three--dimensional linearized elasticity.
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