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contributor authorCosner, Joel A.
contributor authorTai, Wei-Che
date accessioned2022-05-08T09:02:02Z
date available2022-05-08T09:02:02Z
date copyright4/11/2022 12:00:00 AM
date issued2022
identifier issn1555-1415
identifier othercnd_017_08_081003.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4284651
description abstractIn this theoretical study, the vibration suppression, energy transfer, and bifurcation characteristics, as a function of dimensionless parameters, are investigated for an inerter-based pendulum vibration absorber (IPVA) attached to a linear single-degree-of-freedom spring-mass-damper system (primary structure), subject to white noise excitation. A perturbation method is introduced to detect and track the bifurcation points of the system. It is shown that the marginal probability density function of the pendulum angular displacement undergoes a P-bifurcation at critical parameter values, transitioning from monomodality to bi-modality. A cumulant-neglect technique is used to predict the mean squares of the system, which are compared to the response of a linear system without the IPVA to quantify the vibration suppression. It is shown that the IPVA leads to effective vibration mitigation of the structure in the neighborhood of the P-bifurcation, which is achieved by transferring the kinetic energy of the structure to the pendulum. The results are validated by a Monte Carlo simulation that is used to numerically approximate the marginal probability density function for the pendulum angle as well as the mean squares.
publisherThe American Society of Mechanical Engineers (ASME)
titleStochastic Bifurcation and Energy Transfer in an Inerter-Based Pendulum Vibration Absorber
typeJournal Paper
journal volume17
journal issue8
journal titleJournal of Computational and Nonlinear Dynamics
identifier doi10.1115/1.4053798
journal fristpage81003-1
journal lastpage81003-10
page10
treeJournal of Computational and Nonlinear Dynamics:;2022:;volume( 017 ):;issue: 008
contenttypeFulltext


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