Abstract
The governing equations, derived using Lagrangian mechanics, include geometric nonlinearities associated with the occurrence of tensile stresses, as well as coupling between the angular velocity of the maneuver and the elastic degrees of freedom. Longtime histories, phase plane plots, and power spectra of the response are the dynamics tools used in studying the system considered here. The effect of the maneuver on the flutter speed and on the amplitude of the limit cycle are presented for different load conditions. A new type of limit cycle has been observed for the nonmaneuvering case. It is also shown that the presence of a maneuver can transform the panel response from a fixed point into a simple periodic or even chaotic state. It can also suppress the periodic character of the motion, transforming the response into a fixed point. For a prescribed time-dependent maneuver, a remarkable response transition between the different types of limit cycles is presented.
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