Viscoelastic damping materials are widely used to reduce noise and vibration of structures because of its low cost and easy implementation. To design the damped structures, the material property such as elastic modulus and loss factor is essential information. The four-parameter fractional derivative model well describes the nonlinear dynamic characteristics of the viscoelastic damping materials than conventional spring-dashpot models. However, the identification procedure of the four parameters is very time-consuming process. In this study, an efficient identification procedure of the four parameters is proposed by using an FE model and a gradient-based numerical search algorithm. The identification procedure goes two sequential steps to make measured frequency response functions (FRF) coincident with simulated FRFs: the first one is a peak alignment step and the second one is an amplitude adjustment step. A numerical example shows that the proposed method is efficient and robust in identifying the fractional-derivative-model parameters of viscoelastic materials.
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