An Analytic Solution of Some Rotating Electric Machines Vibration

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In this paper dynamic behavior of a rotating electric machine subjected to parametric excitation caused by an axial thrust and a forcing excitation caused by an unbalanced force of the rotor is analytically investigated. In order to obtain analytical solution, the Extended Homotopy Analysis Method (EHAM) is employed, which have a distinct advantage in that this procedure is valid even if the considered equation does not contain any small or large parameter. In order to validate the obtained analytical results, numerical simulations were performed and a very good agreement was found.
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Rotating Electric Machines; Extended Homotopy Analysis Method

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