The method of slowly varying parameters is used to obtain an approximate solution for the steady-state response of a two-degree-of-freedom bilinear hysteretic system. The stability of the system is investigated and it is shown that such a system exhibits unbounded amplitude resonance when the level of excitation is increased beyond a certain finite limit.
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The Steady-State Response of a Two-Degree-of-Freedom Bilinear Hysteretic System
W. D. Iwan
California Institute of Technology, Pasadena, Calif.
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Iwan, W. D. (March 1, 1965). "The Steady-State Response of a Two-Degree-of-Freedom Bilinear Hysteretic System." ASME. J. Appl. Mech. March 1965; 32(1): 151–156. https://doi.org/10.1115/1.3625711
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