The proposed numerical model of machine tool dynamic structure is constructed as a single-loop system consisting of two multi-dimensional links. This approach offers the advantage of considering all the working processes of the machine tool equally and simultaneously by placing them into a single multi-dimensional link. Employing matrix methods of analysis farther enhances the simplicity and universality of this methodology so that modern computer could be used for determining the dynamic qualities of the machine tools. The proposed methodology was validated by tests. The results of these tests are compared with data obtained from proposed computational approach.