Results 221 to 230 of about 98,197 (260)
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Advances in Computational Mathematics, 1994
When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
Guido Brunnett, Peter E. Crouch
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When elastic curves on the sphere are treated by standard Runge-Kutta methods, some invariants are no more invariants. The authors modify the equations and apply an appropriate integration method. A classification of the fundamental forms of the curves is presented which refers to Jacobi's elliptic functions.
Guido Brunnett, Peter E. Crouch
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On Shape of Plane Elastic Curves
International Journal of Computer Vision, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Washington Mio +2 more
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TRANSFORMATIONS OF A SPACE CURVE AND APPLICATIONS TO ELASTIC CURVES
JP Journal of Geometry and Topology, 2018Summary: Mannheim curves and the constant-pitch curves are two specific classes of space curves that are identified by a relation between their curvature and torsion functions. We detail the construction of these two types of curves from any given arbitrary regular space curve in \(\mathbb{R}^2\) by means of the so-called Combescure transformation ...
Bhat, Vishesh S., Hari Baskar, R.
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Elastic Instability and Curved Streamlines
Physical Review Letters, 1996Hydrodynamic instabilities occur in the motion of non-Newtonian polymeric liquids at low flow rates that are entirely absent in the corresponding motions of Newtonian fluids. We develop a dimensionless criterion that characterizes the critical conditions for onset of elastic instabilities in two-dimensional, single-phase isothermal viscoelastic flows ...
, Pakdel, , McKinley
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The elastic stability of curved beams
International Journal of Mechanical Sciences, 1967Abstract Calculations are made of the ranges of validity of three theories used for investigating the instability of curved beams. These include linear and nonlinear (elastica) extensible theories, as well as a nonlinear inextensible one. The specific example chosen for the investigation is that of a curved beam hinged to fixed supports at its ends ...
Lo, C. F., Conway, H. D.
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Annals of Global Analysis and Geometry, 1998
The shape of a bent thin rod (a plane elastic curve) is given explicitly as soon as one knows certain three parameters. The basis of that is a theorem due to the author [cf. \textit{A. Linnér}, Nonlinear Anal., Theory Methods Appl. 21, 575-593 (1993; Zbl 0809.53006), J.
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The shape of a bent thin rod (a plane elastic curve) is given explicitly as soon as one knows certain three parameters. The basis of that is a theorem due to the author [cf. \textit{A. Linnér}, Nonlinear Anal., Theory Methods Appl. 21, 575-593 (1993; Zbl 0809.53006), J.
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A dynamical theory of Elastic directed curves
Zeitschrift für angewandte Mathematik und Physik ZAMP, 1969Elastic directed curves dynamic theory, considering Hamilton principle, mass conservation and behavior of action density function under rigid body ...
Whitman, A. B., DeSilva, C. N.
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Dynamics and stability of elastic cosserat curves
International Journal of Solids and Structures, 1970Nonlinear dynamic theory describing elastic Cosserat curves plane motion, developing linear displacement equations and dynamic stability ...
Whitman, A. B., DeSilva, C. N.
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