A Discrete Two-Dimensional Model of a Loaded Cantilever Influenced by Time-Dependent Forces
Mathematical Physics
2012-04-17 v1 Other Condensed Matter
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1204.3572,
title = {A Discrete Two-Dimensional Model of a Loaded Cantilever Influenced by Time-Dependent Forces},
author = {Gennady P. Berman and Vyacheslav N. Gorshkov and Vasily V. Kuzmenko and Umar Mohideen},
journal= {arXiv preprint arXiv:1204.3572},
year = {2012}
}
Comments
Pages 15, Figures 12