Modal Analysis of Periodically Time-varying Linear Rotor Systems using Floquet Theory (Paper-ID 78)
نویسندگان
چکیده
General rotor systems possess both stationary and rotating asymmetric properties, whose equation of motion is characterized by the presence of periodically time-varying parameters with the period of half the rotation. This paper employs the Floquet theory to develop the complex modal analysis method for periodically time-varying linear rotor systems. The approach is based on decomposition of state transition matrix, leading to the periodically time-varying eigensolutions. The modal analysis approach using the Floquet theory is then compared with the modulated coordinate transform method, which transforms the finite order time-varying matrix equation into an equivalent infinite order time-invariant linear equation.
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