On the dynamics of aeroelastic oscillators with one degree of freedom
Abstract
In this paper two aeroelastic oscillators in crossflow with one degree of freedom are considered. The first oscillator is a special massspring system that is able to oscillate in crossflow, that is perpendicular to the direction of a onedimensional uniform flowing medium. The second oscillator is a seesawtype oscillator in crossflow. The geometry of the oscillators is such that for both oscillators an axis of symmetry can be defined. The interesting difference between the two oscillators is the difference between the dynamical behaviour of this axis. For the first oscillator the slope of the axis of symmetry with the horizontal plane does not change with time, whereas for the seesawtype oscillator this slope is timedependent. By using a quasisteady theory as model equations, a Lienard equation and a generalized Lienard equation are obtained. For the first equation a global analysis is presented, and for the second equation a local analysis is presented resulting in conditions for the existence and uniqueness of limit cycles.
 Publication:

SIAM Journal of Applied Mathematics
 Pub Date:
 August 1994
 Bibcode:
 1994SJAM...54.1033H
 Keywords:

 Aeroelasticity;
 Cross Flow;
 Degrees Of Freedom;
 Mathematical Models;
 Mechanical Oscillators;
 Numerical Analysis;
 Oscillations;
 Pendulums;
 Aerodynamics;
 Elastic Properties;
 Lienard Potential;
 Nonlinear Equations;
 QuasiSteady States;
 Time Dependence;
 Instrumentation and Photography