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• W2093155648 abstract "The energetics and the stability of free transverse vibration of an axially moving string are investigated based on the Kirchhoff nonlinear model. The model is derived in a physically meaningful manner. The time-rate of the total mechanical energy associated with the vibration is calculated to show that the energy is not conserved. It is proved that there exists a conserved quantity that remains a constant during the nonlinear vibration. The conserved quantity is applied to verify the Lyapunov stability of the axially moving Kirchhoff string." @default.
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• W2093155648 date "2005-01-01" @default.
• W2093155648 modified "2023-10-01" @default.
• W2093155648 title "The energetics and the stability of axially moving Kirchhoff strings (L)" @default.
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• W2093155648 doi "https://doi.org/10.1121/1.1810310" @default.
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