Response of a Hysteretic System Under Non-Stationary Earthquake Excitations

  • G. Q. Cai
  • Y. K. Lin
Part of the Solid Mechanics and its Applications book series (SMIA, volume 47)


Under strong earthquake excitations, a structure is likely to become nonlinear and inelastic. The term hysteresis is used to describe a type of inelastic behavior in which the restoring force depends not only on the instantaneous deformation, but also the past history of the deformation. Consider an engineering structure idealized as a single-degree-of-freedom system governed by
$$ \ddot X\, + \,2\zeta \dot X\, + \,aX\, + \,\eta Z(t)\, = f_k (X,\dot X)\xi _k (t) $$
where ξk(t) are ground accelerations, and Z(t) is a hysteretic restoring force, described by the Bouc-Wen model (Bouc, 1967; Wen, 1976, 1980)


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Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • G. Q. Cai
    • 1
  • Y. K. Lin
    • 1
  1. 1.Center for Applied Stochastics ResearchFlorida Atlantic UniversityBoca RatonUSA

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