Results 221 to 230 of about 2,874,418 (289)

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.
N. Huang
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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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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.
J. Tambača
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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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Micropolar Curved Rods

Encyclopedia of Continuum Mechanics, 2020
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Higher Order Theory of Micropolar Curved Rods

Encyclopedia of Continuum Mechanics, 2018
V. Zozulya
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Invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods

, 2021
This paper presents an invariant isogeometric formulation for the geometric stiffness matrix of spatial curved Kirchhoff rods considering various end moments, i.e., the internal (member) moments and applied (conservative) moments. There are two levels of
Y.B. Yang, Y.Z. Liu
semanticscholar   +1 more source

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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