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Showing 1 results for Rotating Nonlinear Beam
Ali Tangsiri, Morteza Karamooz Mahdiabadi, Saeed Bab,
Volume 24, Issue 10 (9-2024)
Abstract
Passive vibration control of rotating nonlinear beams is crucial due to its potential to mitigate harmful vibrations in various engineering applications, including aerospace and industrial sectors. This study examines how different system parameters and inherent nonlinearities influence the vibrations of a nonlinear rotating beam subjected to periodic external forces. A nonlinear energy sink (NES) is attached to the beam's tip to attenuate vibrations. The system is modeled using the Euler-Bernoulli beam theory and von Kármán strain-displacement relations, with equations of motion derived via Hamilton’s principle. Complexification Averaging and Runge-Kutta methods are applied for analytical and numerical solutions, respectively. The findings reveal that increasing the stiffness reduces vibration amplitude, while a rise in the nonlinear coefficient induces hardening behavior. The system exhibits saddle-node and Hopf bifurcations under certain conditions, indicating complex dynamic transitions. These phenomena, driven by the beam's nonlinearity and the NES, effectively diminish the vibration amplitude, highlighting the system's complex dynamic responses and the NES's efficacy in vibration mitigation
