The dynamic behavior of Bernoulli-Euler and Timoshenko beams subjected to a moving concentrated load is considered. Deflection expressions are found in the form of convergent series for a pretensioned beam and for a beam on an elastic foundation. We determine the parameter ranges for which the results of these two models are coincident. It is shown that, under certain conditions, a resonance is possible in such a system.

中文翻译：

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伯努利-欧拉梁和蒂莫申科梁上的移动载荷作用

考虑了伯努利-欧拉和蒂莫申科梁在移动集中载荷作用下的动力特性。对于预应力梁和弹性地基上的梁，以收敛系列的形式找到挠度表达式。我们确定这两个模型的结果一致的参数范围。结果表明，在某些条件下，在这种系统中可能发生共振。