Analysis of Seismic Response and Catastrophic Behavior on Suspended Structure Systems

Abstract eng:
To consider the influence of substructure’s nonlinear driving force on primary structure, an improved dynamic analytic model containing dynamic stiffness is presented, and it is solved by means of Lindstedt-Poincaré method (L-P). Analysis on amplitude versus frequency based on arithmetic solution and catastrophe theory shows that small changes of system parameters may cause remarkable changes of amplitude, amplitude catastrophic value and unstable region of system response. It means that the response behaviors of system are very sensitive to the variation of system parameters. The longer suspender the smaller nonlinear parameter, and catastrophic behavior of system disappears and pseudo-linear behavior arises.

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