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- W2064156715 abstract "The free vibrations of a uniformly accelerating linear elastic, non-dissipative system of three degrees of freedom, carrying a tip mass and subjected to a constant circulatory thrust applied at a free end, are investigated for the purpose of determining the influence of the orientation of the thrust on the system's state of stability. A dimensionless bi-cubic frequency equation whose coefficients depend upon the tip mass parameter, the thrust parameter, and the tangency coefficient, α, is solved and eigencurves are plotted for several values of α. These eigencurves reveal that, for a certain range of small values of α, the system becomes unstable by divergence for any positive thrust, no matter how small. There also exists a range of α for which the system is first unstable by divergence, secondly stable, and finally unstable by flutter as the magnitude of the thrust is increased. For α sufficiently large, the system is stable for a certain range of values of the thrust, but eventually it becomes unstable by flutter as the thrust is increased beyond its critical value." @default.
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- W2064156715 date "1976-03-01" @default.
- W2064156715 modified "2023-09-23" @default.
- W2064156715 title "Stability of a system of three degrees of freedom subjected to a circulatory force" @default.
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- W2064156715 doi "https://doi.org/10.1016/0022-460x(76)90670-2" @default.
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