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W79789872 abstract "Supposing the upper end of a mass-loaded string is subjected to an axial harmonic displacement excitation, the parametrically-excited transverse vibration of the string due to dynamic coupling between axial and transverse directions is investigated in this paper. If only the first order transverse vibration mode is retained, it is found that the motion of the mass-loaded string can be described by Mathieu’s Equation. Based on the stability criterion for the solution to Mathieu’s Equation, an analytical formula is derived, which can be used to calculate the critical excitation amplitude causing parametric resonance at different excitation frequencies. This formulation is verified by some numerical simulation work." @default.
W79789872 created "2016-06-24" @default.
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W79789872 date "2011-01-01" @default.
W79789872 modified "2023-09-26" @default.
W79789872 title "Critical Condition for Parametric Resonance of Axially Mass-Loaded String" @default.
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W79789872 doi "https://doi.org/10.1007/978-3-642-23339-5_6" @default.
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