The Problem of Vibration of Current-Carrying Plates

Non-linear cylindrical-form vibrations of an electrocurrent-carrying plate-strip are considered. For the plate material a non-linear relationship between stresses and deformation is accepted. On basis of the known hypotheses and assumptions the general system is reduced to one equation for the normal displacement of the plate. Using the Bubnov-Galerkin method and the method of asymptotic integration, the amplitude-frequency characteristics are defined. The influence of the current magnitude on both free and forced vibrations, particularly on the stability of vibrations, is examined.