Design and identification of parameters of tuned mass damper with inerter which enables changes of inertance

Abstract In this paper we show the design of a novel tuned mass damper with inerter that enables changes of inertance. We present the details of the experimental rig that is used to test the prototype device and provide technical documentation of its crucial elements. The mathematical model of the system is derived based on the Lagrange equations of the second type. We identify the parameters of the system: masses, stiffnesses of springs and damping coefficients. We pay special attention to identification of energy dissipation model composed of viscous damping and Coulomb damping. We use two step procedure to find the proper values of damping coefficients with high precision. To validate the model we compare the numerical and experimental time traces. Good matching of the results prove well-posedness of the model and confirm the obtained parameter values.

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