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Bending Strength of Curved Rods

Bending Strength of Curved Rods
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LINEAR CURVED ROD MODEL: GENERAL CURVE

Mathematical Models and Methods in Applied Sciences, 2001
A 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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Modelling of Curved Rods

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, Tambača, Josip, Tutek, Zvonimir   +2 more
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DERIVATION AND JUSTIFICATION OF A CURVED ROD MODEL

Mathematical Models and Methods in Applied Sciences, 1999
A 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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MULTIPLE HELICAL PERVERSIONS OF FINITE, INTRISTICALLY CURVED RODS

International Journal of Bifurcation and Chaos, 2005
We investigate mechanical spatial equilibria of slender elastic rods with intristic curvature. Our work is, to some extent, motivated by papers [Goriely & Tabor, 1998; Goriely & McMillen 2002]. There such rods of infinite length were recently studied to quantify the behavior of botanical filaments. In particular, an adequate explanation for the
Domokos, G., Healey, T. J.
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A Model of Irregular Curved Rods

2002
In 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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Theories of elastic slender curved rods

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1973
The linear and nonlinear theories of elastic slender curved rods are formulated in a systematic manner. Equations of equilibrium for stress resultants and moments are derived. The generalized strains are defined based on the principle of virtual work. Constitutive equations corresponding to small strains are obtained.
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Evolution model of curved rods

2000
Predmet ovog rada je izvod i opravdanje jednodimenzionalnih modela u teoriji elastičnosti. Promatramo problem gibanja tankog lineariziranog elastičnog zakrivljenog štapa, te pripadnu svojstvenu zadaću. Rad je sastavljen iz tri poglavlja. U prvom poglavlju donosimo osnovne rezultate dobivene za problem ravnoteže lineariziranog elastičnog zakrivljenog ...
Tutek, Zvonimir, Tambača, Josip
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Wave Propagation in Prestressed Curved Rods

Journal of the Engineering Mechanics Division, 1980
The vibration and harmonic wave propagation in prestressed curved rods is theoretically studied. The equations of spatial elastic rods subjected to a generally deformation-dependent loading are employed and are specialized to prestressed planar circular arch equations.
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Wave Propagation in Piezoelectric Circular Curved Rods

Iranian Journal of Science and Technology, Transactions A: Science, 2018
Dispersion equations of wave propagation in piezoelectric circular curved rods in an orthogonal curvilinear coordinate system are established in this paper, in which the displacements and electrical potential fields are described using Bessel functions.
Deng Qing-tian, Luo Song-nan
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