Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation (Q842991)

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scientific article; zbMATH DE number 5608094
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Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation
scientific article; zbMATH DE number 5608094

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    Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation (English)
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    28 September 2009
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    The authors investigate the transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. Stability and bifurcations of periodic orbits are studied using Poincaré maps. Results are compared with asymptotic expansions obtained by Caughey.
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    bilinear hysteresis
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    forced response
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    hysteretic oscillator
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    Caughey model
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