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

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

2012-04-16

arxiv.org/abs/1204.3572v1

Physics

Mathematical Physics

Pages 15, Figures 12

Scientific paper

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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