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 mass-spring system that is able to oscillate in crossflow, that is perpendicular to the direction of a one-dimensional uniform flowing medium. The second oscillator is a seesaw-type 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 seesaw-type oscillator this slope is time-dependent. By using a quasi-steady 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:
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- Aeroelasticity;
- Cross Flow;
- Degrees Of Freedom;
- Mathematical Models;
- Mechanical Oscillators;
- Numerical Analysis;
- Oscillations;
- Pendulums;
- Aerodynamics;
- Elastic Properties;
- Lienard Potential;
- Nonlinear Equations;
- Quasi-Steady States;
- Time Dependence;
- Instrumentation and Photography