Abstract

The dynamic behavior of the thin plates resting on a fractionally damped viscoelastic foundation subjected to a moving point load is investigated. This work explores the application of fractional calculus in the modeling of a viscoelastic foundation. A parametric study is executed to determine the impacts of the fractional-order derivative, foundation parameters, velocity and acceleration of the moving load on the dynamic behavior of the plate. The results show that the damping of the foundation system increases with increasing the order of the fractional derivative, which leads to a decrease in the dynamic response.

中文翻译：

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支撑在分数粘弹性基础上并受到移动载荷的板的动态响应

摘要

研究了薄板在部分阻尼粘弹性基础上承受移动点载荷的动力学行为。这项工作探讨了分数阶微积分在粘弹性地基建模中的应用。执行参数研究以确定分数阶导数、基础参数、移动载荷的速度和加速度对板的动态行为的影响。结果表明，地基系统的阻尼随着分数阶导数的增加而增加，从而导致动力响应减小。