Abstract
A mechanical system whose behavior is described by linear differential equations with constant coefficients is considered. The system is subjected to external excitation; this excitation can change in an arbitrary way over time. Absolute invariance implies absolute independence of some coordinates from the excitation applied to the system. The absolute invariance means that generalized coordinates cannot be implemented, even without introducing any vibration protection devices. The Shchipanov–Luzin criterion of absolute invariance and Petrov’s two-channel principle are discussed. Problems of parametric elimination of unwanted vibration modes of a spinning rotor and a plate subjected to an inertial moving load are considered.
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Karnovsky, I.A., Lebed, E. (2016). Parametric Vibration Protection of Linear Systems. In: Theory of Vibration Protection. Springer, Cham. https://doi.org/10.1007/978-3-319-28020-2_8
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DOI: https://doi.org/10.1007/978-3-319-28020-2_8
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