The phenomenon of three-dimensional (3D) steady-state motion of a string traveling along an invariant curve in a flowing medium is studied. Existence conditions are found using a perturbation scheme where a known two-dimensional (2D) solution is used as an initial approximation.
Issue Section:
Brief Notes
Keywords:
external flows,
drag,
elasticity,
flow simulation,
perturbation techniques,
invariance,
velocity
1.
Miroshnik
, R.
, 2001
, “The Phenomenon of Steady-State String Motion
,” ASME J. Appl. Mech.
, 68
(4
), pp. 568
–574
.2.
Perkins
, N. C.
, and Mote
, Jr,, C. D.
, 1989
, “Theoretical and Experimental Stability of Two Translating Cable Equilibria
,” J. Sound Vib.
, 128
(3
), pp. 397
–410
.3.
Healey
, T. J.
, and Papadopoulos
, J. N.
, 1990
, “Steady Axial Motion of Strings
,” ASME J. Appl. Mech.
, 57
(3
), pp. 785
–787
.4.
Miroshnik
, R. A.
, 1972
, “Research of the Ballistic Antenna Stationary Motion in Flat Homogeneous Flow
,” Izv. Vuz. Mashinostr.
, 10
, pp. 27
–32
.5.
Lemon
, G.
, and Fraser
, W. B.
, 2001
, “Steady State Bifurcations and Dynamical Stability of a Whirling Cable Acted on by Aerodynamic Drag
,” Proc. R. Soc. London, Ser. A
, 457
(2009
), pp. 1021
–1041
.6.
Svetlicky
, V. A.
, and Miroshnik
, R. A.
, 1975
, “Research of the Ballistic Antenna Stationary Movement in the Flow of Arbitrary Direction
,” Soprotivlenie Mater. Teor. Soorujenii
, 27
, pp. 36
–42
.7.
Kurkin
, V. I.
, and Miroshnik
, R. A.
, 1974
, “Influence of wind loading on the form of ballistic antenna
,” Izve. Vuz. Mashinostr.
, 5
, pp. 18
–21
.Copyright © 2004
by ASME
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