The effects of small periodic disturbances on the response of a two-degree-of-freedom, nonconservative mechanical system are analyzed. The system is a simple model for panel flutter. The disturbance simulates the pressure fluctuations of a turbulent boundary layer on the panel. Asymptotic expansions of the solutions are obtained for small-amplitude disturbances. The qualitative features of the response depend on the prescribed variation of the disturbance frequency with the magnitude of the nonconservative applied force. The disturbance can induce a smooth transition to the fluttering states of the rods, or it may induce jump transitions. The results suggest a possible technique for delaying panel flutter by applying periodic forcing functions with appropriate frequencies.
[1]
L. Muhlstein,et al.
An experimental study of the influence of the turbulent boundary layer on panel flutter
,
1968
.
[2]
B. Matkowsky,et al.
Singular Perturbations of Bifurcations
,
1977
.
[3]
H. Ziegler.
Principles of structural stability
,
1968
.
[4]
V. V. Bolotin,et al.
Nonconservative problems of the theory of elastic stability
,
1963
.
[5]
R. A. Silverman,et al.
Theory of Functions of a Complex Variable
,
1968
.
[6]
G. Herrmann,et al.
Dynamics and stability of mechanical systems with follower forces
,
1971
.
[7]
H. Weitzner,et al.
Perturbation Methods in Applied Mathematics
,
1969
.