Results 241 to 250 of about 355,790 (284)

ELASTIC WAVES IN A NATURALLY CURVED ROD

Quarterly Journal of Mechanics and Applied Mathematics, 1961
L S D Morley
exaly   +3 more sources

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
openaire   +3 more sources

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
openaire   +1 more source

A Reduction Approximation Method for Curved Rods

Numerical Functional Analysis and Optimization, 2005
We 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, Sprekels, Jürgen, Tiba, Dan   +2 more
openaire   +2 more sources

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.
openaire   +1 more source

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
Gábor Domokos, Timothy J. Healey
openaire   +2 more sources

On the motion of a curved and twisted rod

Acta Mechanica, 1972
In this paper, the equations of motion of a curved and twisted rod are derived from the basic principles of dynamics. The set of equations gives the extensional, flexural and torsional motions of the rod. The coupling among these types of motion due to the curvature and tortuosity of the rod is shown explicitly in the case of a helical spring.
openaire   +2 more sources

Plane Bending of a Curved Rod

2014
We present a combination of the asymptotic, direct, and numerical methods on the example plane problem of finite deformations of a thin curved strip. The study includes both static and dynamic analyses; the inhomogeneity of the strip is taken into account. The method of asymptotic splitting allows for a consistent dimensional reduction of the equations
openaire   +1 more source

ANAEROBIC CURVED RODS IN VAGINITIS

The Lancet, 1982
I, Phillips, E, Taylor
openaire   +4 more sources

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.
openaire   +1 more source