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ISSN 2063-5346
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Application of passive techniques for controlling vibration in a dynamically oscillating beam

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Mr. Prashant D. Agwane, Mr. Neeraj P. Kulkarni
» doi: 10.48047/ecb/2023.12.si4.1524

Abstract

This research paper demonstrates an enhancement in the damping of a dynamic system by utilizing the dissipation of energy resulting from repeated collisions between a free mass and the base structure. The study involves both theoretical and experimental investigations conducted on a base-excited cantilever beam. The experiments were performed under two conditions: without an impact mass and with an impact mass, both at the fundamental frequency of the system and in close proximity to it. The mathematical model employed a multi-degree-of-freedom (MDOF) system, which experiences momentum transfer due to the impact of the free mass on the main mass. MATLAB codes were developed to simulate the dynamic response of the MDOF system for the base-excited cantilever beam, both with and without the impact mass. The influence of the impact mass on the response of the base-excited cantilever beam was analyzed using the finite element method and the constant average acceleration method of the Newmark's family. The theoretical results were compared to the experimental findings and showed good agreement. The frequencies predicted by the theoretical model matched the frequencies obtained from the experiments for both cases (with and without impact mass). Additionally, the damping value predicted by the theoretical model with the impact mass aligned with the damping value obtained from the experiments. The model also estimated the contact force between the colliding bodies at the tip of the beam.

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