A Simple Determination of Von Karman Critical Velocities

1980 ◽  
pp. 187-196
Author(s):  
R. B. Pond ◽  
J. M. Winter
Keyword(s):  
Von Karman ◽  
Critical Velocities ◽  
Von Kármán

On two matrix-free continuation approaches for the determination of the bifurcation diagram of the von Kármán system

2004 ◽  
Vol 13 (1-2) ◽  
pp. 141-164
Author(s):  
Kokou Dossou ◽  
Jean-Jacques Gervais ◽  
Roger Pierre ◽  
Hassan Sadiky
Keyword(s):  
Bifurcation Diagram ◽  
Von Karman ◽  
Von Kármán System ◽  
Von Kármán ◽  
Matrix Free

scholarly journals The Determination of the von Karman Constant

1982 ◽  
Vol 60 (1) ◽  
pp. 461-471 ◽  
Author(s):  
J. Kondo ◽  
T. Sate
Keyword(s):  
Von Karman ◽  
Von Kármán

scholarly journals The two-dimensional hydrodynamical theory of moving aerofoils. IV

1947 ◽  
Vol 188 (1015) ◽  
pp. 439-463
Keyword(s):  
Stability Problem ◽  
Two Dimensional ◽  
Centre Of Gravity ◽  
First Approximation ◽  
Von Karman ◽  
Moving Cylinder ◽  
Period Equation ◽  
The Stability ◽  
Von Kármán ◽  
Hydrodynamical Theory

In the first part of this paper opportunity has been taken to make some adjustments in certain general formulae of previous papers, the necessity for which appeared in discussions with other workers on this subject. The general results thus amended are then applied to a general discussion of the stability problem including the effect of the trailing wake which was deliberately excluded in the previous paper. The general conclusion is that to a first approximation the wake, as usually assumed, has little or no effect on the reality of the roots of the period equation, but that it may introduce instability of the oscillations, if the centre of gravity of the element is not sufficiently far forward. During the discussion contact is made with certain partial results recently obtained by von Karman and Sears, which are shown to be particular cases of the general formulae. An Appendix is also added containing certain results on the motion of a vortex behind a moving cylinder, which were obtained to justify certain of the assumptions underlying the trail theory.

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