The frequency responses of a piecewise isolator mounted on a moving flexible base are investigated. A procedure, which is based on Equivalent Linearization method and transfer function, is proposed to study this two-degrees-of freedom nonlinear system. The influence of 1G gravity on the nonlinearity of the system frequency responses is investigated and presented in detail. It is shown that the piecewise stiffness may demonstrate both hardening and softening properties due to different amplitude, clearance and gravity.

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