受时间相关力影响的悬臂梁离散二维模型
A Discrete Two-Dimensional Model of a Loaded Cantilever Influenced by Time-Dependent Forces
摘要：
我们开发了一个离散的二维模型的悬臂梁，它结合了不均匀性的影响，一个附加的粒子的几何形状，和外部随时间变化的力的影响。我们提供了我们的离散模型和连续极限的解决方案之间的比较。详细研究了振转模式。数值模拟的结果表明，当悬臂梁具有复杂的几何形状，并受到时间依赖性和分布的外力的影响时，我们的模型在许多应用中是有用的。
英文摘要：
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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