Mechanical systems oscillate relative to the equilibrium position, and their amplitude depends on both frequency and mass, shape, design and mechanical properties of the system. There are two parameters of the grequency response of mechanical systems: the frequency of their natural vibrations and dynamicity on the effect of forced vibrations (dynamic coefficient). The purpose of the article is to investigate methods for calculating the parameters of the frequency response such a frequency of natural vibrations and the dynamic coefficient of a cantilevered steel beam. The methods which were used are analytical, finite element method with the ANSYS software environment and experimental method on the vibration stand with two loading methods: sinusoidal vibration using the swinging frequency method and broadband random vibration. The obtained natural oscillation frequency values are consistent within the relative error of 15%, dynamic coefficient values are consistent within the relative error of 5%. The finite element method is well consistent with the analytical method, while it requires fewer operations for more complex designs. Differences in the results of experiments arise from differences in the methods of loading the object of research.

Keywords: frequency response, finite element mathod, ANSYS, natural vibrarion frequency, sweep check, broadband random vibration