ABSTRACT: The investigations of structural constructions, which are put under dynamical excitations, by using dynamical coefficients are possible only for mechanical systems with one degree of freedom. That is why, to a certain extent, using of this method is limited. The most real structural constructions have many degrees of freedom. The dynamical coefficients are modified as dynamical matrices. In this article, the methods for using those matrices without damping are treated. These investigations using the dynamical matrices are compact and clear.