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Shake table testing of a tuned mass damper inerter (Tmdi)-equipped structure and nonlinear dynamic modeling under harmonic excitations

Pietrosanti, D., De Angelis, M. & Giaralis, A. ORCID: 0000-0002-2952-1171 (2020). Shake table testing of a tuned mass damper inerter (Tmdi)-equipped structure and nonlinear dynamic modeling under harmonic excitations. In: Proceedings of XXIV AIMETA Conference 2019. (pp. 1512-1521). Cham, Switzerland: Springer. doi: 10.1007/978-3-030-41057-5_122


This paper presents preliminary experimental results from a novel shaking table testing campaign investigating the dynamic response of a two-degree-of-freedom (2DOF) physical specimen with a grounded inerter under harmonic base excitation and contributes a nonlinear dynamic model capturing the behavior of the test specimen. The latter consists of a primary mass connected to the ground through a high damping rubber isolator (HDRI) and a secondary mass connected to the primary mass through a second HDRI. Further, a flywheel-based rack-and-pinion inerter prototype device is used to connect the secondary mass to the ground. The resulting specimen resembles the tuned mass damper inerter (TMDI) configuration with grounded inerter analytically defined and numerically assessed by the authors in a number of previous publications. Physical specimens with three different inerter coefficients are tested on the shake table under sine-sweep excitation with three different amplitudes. Experimental frequency response functions (FRFs) are derived manifesting a softening nonlinear behavior of the specimens and enhanced vibration suppression with increased inerter coefficient. Further, a 2DOF parametric nonlinear model of the specimen is established accounting for non-ideal inerter device behavior and its potential to characterize experimental response time-histories, FRFs, and force-displacement relationships of the HDRIs and of the inerter is verified.

Publication Type: Book Section
Additional Information: The final authenticated publication is available online at
Publisher Keywords: Inerter, tuned mass damper inerter, shaking table testing, nonlinear dynamic model, high damping rubber bearings
Subjects: T Technology > TJ Mechanical engineering and machinery
Departments: School of Science & Technology > Engineering
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