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期刊论文
The energetics and the stability of axially moving Kirchhoff strings (L)
L. -Q. Chen and W. -J. Zhao: Letters to the Editor J. Acoust. Soc. Am., Vol. 117, No. 1, January 2005,-0001,():
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.
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