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arXiv · 1204.3572

A Discrete Two-Dimensional Model of a Loaded Cantilever Influenced by Time-Dependent Forces

Gennady P. Berman·Vyacheslav N. Gorshkov·Vasily V. Kuzmenko·Umar Mohideen
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Abstract

We developed a discrete two-dimensional model of a cantilever which incorporates the effects of inhomogeneity, the geometry of an attached particle, and the influence of external time-dependent forces. We provide a comparison between the solutions for our discrete model and its continuous limit. The rotational-vibrational mode is studied in detail. The results of numerical simulations demonstrate usefulness of our model for many applications when a cantilever has a complicated geometry and is affected by time-depended and distributed external forces.

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Gennady P. Berman, Vyacheslav N. Gorshkov, Vasily V. Kuzmenko, Umar Mohideen. 2012-04-16. A Discrete Two-Dimensional Model of a Loaded Cantilever Influenced by Time-Dependent Forces. https://arxiv.org/abs/1204.3572

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