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Equilibrium, membrane forces and buckling stability for the steady state motion of axially traveling, thin plates are obtained analytically.
The control law greatly affected the transient states without altering the steady state motion of the uncontrolled system.
This feature is particularly important for helicopters because the steady state motion of the rotor blades determines the flight path.
The theoretically possible modes of steady state motion with two impacts/cycle and with no impacts are predicted.
The paper is dedicated to the steady state motion of the grain boundary systems with the triple junctions.
The main features of one of the systems where the steady state motion is possible are considered.
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Instead, we prove the existence of branches of localized steady state motions in the frequency domain.
For the given boundary conditions, exact solutions of the steady state motions are obtained.
Some experimental data were compared to numerical results at steady state motions, and they agreed well each other.
More importantly, the asymptotic stability of the steady state motions and some transient behaviors are also determined.
Den Hartog [1] gave an exact solution for the symmetric steady state motions of such a system in 1930.
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