Vibrations due to Flow-Driven Repeated Impacts
Sumin Jeong,Natalie Baddour +1 more
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TLDR
In this article, a two-degree-of-freedom model was proposed to analyze the impact of a fixed but flexible structure that is struck repeatedly by a second object, driven by a flowing fluid.Abstract:
We consider a two-degree-of-freedom model where the focus is on
analyzing the vibrations of a fixed but flexible structure that is struck repeatedly by a
second object. The repetitive impacts due to the second mass are driven by a flowing
fluid. Morison’s equation is used to model the effect of the fluid on the properties of
the structure. The model is developed based on both linearized and quadratic fluid
drag forces, both of which are analyzed analytically and simulated numerically. Conservation
of linear momentum and the coefficient of restitution are used to characterize
the nature of the impacts between the two masses. A resonance condition of the model
is analyzed with a Fourier transform. This model is proposed to explain the nature
of ice-induced vibrations, without the need for a model of the ice-failure mechanism.
The predictions of the model are compared to ice-induced vibrations data that are
available in the open literature and found to be in good agreement. Therefore, the use
of a repetitive impact model that does not require modeling the ice-failure mechanism
can be used to explain some of the observed behavior of ice-induced vibrations.read more
Citations
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Superimposed RBF and B-spline parametric surface for reverse engineering applications
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Fluid Effect On Ice Induced Vibrations
TL;DR: In this paper, a new model describing the periodic vibrations caused by the interaction between the moving ice floe and a simple oscillator was proposed, and the equations obtained estimate the forces affecting the oscillator under its interaction with ice.
References
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Book
Applications of Discrete and Continuous Fourier Analysis
TL;DR: In this paper, an introductory text covering the concepts and properties of Fourier analysis is presented, focusing on applications to real scientific and engineering problems, including the Fourier series, Fourier transform, and discrete Fourier transformation.
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