Many physical systems exhibit hysteresis which may be adequately described by a bilinear hysteresis model. This paper considers the response of such a system to sinusoidal excitation. It is shown that the system exhibits a soft-type resonance with stable, single-valued response curves. For such a system it is shown that there exists a critical value of the excitation, above which unbounded resonance occurs.
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Sinusoidal Excitation of a System With Bilinear Hysteresis
T. K. Caughey
California Institute of Technology, Pasadena, Calif.
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Caughey, T. K. (December 1, 1960). "Sinusoidal Excitation of a System With Bilinear Hysteresis." ASME. J. Appl. Mech. December 1960; 27(4): 640–643. https://doi.org/10.1115/1.3644075
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