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Smart Structures and Systems Volume 34, Number 4, October 2024 , pages 243-260 DOI: https://doi.org/10.12989/sss.2024.34.4.243 |
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Influence of the variable inertia rotational mechanism on natural frequency and structural response |
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Anika T. Sarkar and Nicholas E. Wierschem
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| Abstract | ||
| Rotational inertial mechanisms (RIMs) are promising for structural control as their mass amplification properties allow them to impart large mass effects. While most research on RIMs involves the linear inerter, there is interest in utilizing the variable mass effects from nonlinear RIMs (NRIMs). One type of NRIM is the variable inertia rotational mechanism (VIRM), which features moving masses in the device's flywheel that alter the flywheel's rotational inertia. While active and semi-active forms of the VIRM were previously considered, few studies have considered the passive VIRM. Consequently, the effect of VIRM parameters, the VIRM's capacity for shifting natural frequencies, and the performance of the VIRM under various loading types remain uncertain. This paper investigates the VIRM when attached to a single-degree-of-freedom primary structure. A mathematical model is derived for the combined primary structure and VIRM. Numerical simulations are carried out to determine the effect of the VIRM on the system's natural frequencies and dynamic response. This study demonstrates that the VIRM can significantly shift the primary structure's instantaneous and pseudo-natural frequencies, add higher frequency dynamics, and reduce the response of the structure in many cases, but that the impact of the VIRM is highly dependent on load type and amplitude. | ||
| Key Words | ||
| inerter; natural frequency; nonlinear; variable inertia rotational mechanism | ||
| Address | ||
| (1) Anika T. Sarkar: Department of Civil and Environmental Engineering, The University of New Orleans, 2000 Lakeshore Drive New Orleans, LA 70148, USA; (2) Nicholas E. Wierschem: Department of Civil and Environmental Engineering, The University of Tennessee, 325 John D. Tickle Engineering Building, 851 Neyland Drive, Knoxville TN 37996-2313, USA. | ||