**9. Conclusions**

A new mathematical model has been built and the dynamic features of vibro-protected devices, the main elements of which are rolling bearings, bounded by the surfaces of rotation of high order, have been investigated. It has been ascertained that such vibro-protected devices are highly nonlinear and a clash phenomenon appears for these systems.

In the spectrum of response emerges the range of harmonics, multiple to the frequency of kinematic disturbances. It is determined that inertial force, working on vibro-protected body on such bearings, depends little on the kinematic disturbance level.

This feature of rolling bearings, bounded by surfaces of high order, gives them potential for creation of the devices for vibro-protection of buildings under conditions of strong kinematic disturbances.

**Author Contributions:** Conceptualization, K.B. formal analysis, A.T.; investigation, K.B., A.J.; software, T.D. **Funding:** This research was funded by Ministry of education and science of Kazakhstan gran<sup>t</sup> number AP05134148. **Conflicts of Interest:** The authors declare no conflict of interest.
