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- W2095551888 abstract "Abstract The behaviour of the oscillation frequencies of Hamiltonian systems when their stiffness and inertia are changed is reviewed. The number of frequencies of the first and second kind, expressed in terms of the number of positive and negative eigenvalues of the Hamiltonian, is found. It follows from these results, in particular, that Rayleigh's classical theorem only holds for gyroscopic systems when the number of its frequencies is equal to the number of frequencies of the system without gyroscopic forces. The degree of instability of a gyroscopic system when there are small dissipative forces is found; in a gyroscopically stabilized system, it is half the degree of static instability." @default.
- W2095551888 created "2016-06-24" @default.
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- W2095551888 date "1996-01-01" @default.
- W2095551888 modified "2023-09-27" @default.
- W2095551888 title "On the theory of linear gyroscopic systems" @default.
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- W2095551888 doi "https://doi.org/10.1016/0021-8928(96)00029-9" @default.
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