ISSN:
1573-269X
Keywords:
Cable nonlinear dynamics
;
co-ordinate transformation
;
fluid-structure interaction
;
divergence and flutter stability
;
two-time-scale asymptotic analysis
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The nonlinear interaction of the first two in-plane modes of a suspended cable with a moving fluid along the plane of the cable is studied. The governing equations of motion for two-mode interaction are derived on the basis of a general continuum model. The interaction causes the modal differential equations of the cable to be non-self-adjoint. As the flow speed increases above a certain critical value, the cable experiences oscillatory motion similar to the flutter of aeroelastic structures. A co-ordinate transformation in terms of the transverse and stretching motions of the cable is introduced to reduce the two nonlinearly coupled differential equations into a linear ordinary differential equation governing the stretching motion, and a strongly nonlinear differential equation for the transverse motion. For small values of the gravity-to-stiffness ratio the dynamics of the cable is examined using a two-time-scale approach. Numerical integration of the modal equations shows that the cable experiences stretching oscillations only when the flow speed exceeds a certain level. Above this level both stretching and transverse motions take place. The influences of system parameters such as gravity-to-stiffness ratio and density ratio on the response characteristics are also reported.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008223909270
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