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- W2922198513 abstract "We compare large time behavior of an infinite system, with time-varying parameters, possessing a unique trapped mode (characterized by frequency (varOmega _0(varepsilon tau ))), with the behavior of a single degree of freedom system (ddot{y}+varOmega _0^2(varepsilon tau )y=0) (a linear mass-spring oscillator with time-varying stiffness). The infinite length system is a string, lying on the Winkler foundation, and equipped with a discrete linear mass-spring oscillator of time-varying stiffness. We demonstrate that the classical formula (Ypropto varOmega _0^{-1/2}) that relates the amplitude (Y(varepsilon tau )) and the frequency (varOmega _0(varepsilon tau )) for the single degree of freedom system is valid for amplitude of the localized string oscillation if and only if the oscillator mass, attached to the string, is big enough." @default.
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- W2922198513 date "2019-01-01" @default.
- W2922198513 modified "2023-09-26" @default.
- W2922198513 title "An Infinite-Length System Possessing a Unique Trapped Mode Versus a Single Degree of Freedom System: A Comparative Study in the Case of Time-Varying Parameters" @default.
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- W2922198513 doi "https://doi.org/10.1007/978-3-030-11665-1_13" @default.
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