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We developed a discrete two-dimensional model of a cantilever whichincorporates the effects of inhomogeneity, the geometry of an attachedparticle, and the influence of external time-dependent forces. We provide acomparison between the solutions for our discrete model and its continuouslimit. The rotational-vibrational mode is studied in detail. The results ofnumerical simulations demonstrate usefulness of our model for many applicationswhen a cantilever has a complicated geometry and is affected by time-dependedand distributed external forces.

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