Abstract
A method of estimating linear and non-linear system parameters of a non-linear system from the measured higher-order frequency response functions (FRFs) is presented. Higher-order FRFs can be measured on some restricted regions by sinusoidally exciting a non-linear system with various input amplitudes and measuring the response component at the excitation frequency. Since these higher-order FRFs can be expressed in terms of linear and non-linear system parameters, the system parameters can be estimated quantitatively from the measured higher-order FRFs. The present method has been applied to simulated single degree of freedom systems with non-linear stiffness and non-linear damping, and has estimated accurate system parameters.
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