Oscillations specific for the homogeneous rod like elastic structure on the kinematic absorber basis with rolling bearers having straightened surfaces

Abstract

In modern structural schemes, it is impossible to increase seismic stability by increasing the cross section, strength, and weight only. The structure may be more robust, but not necessarily cost-effective, so that both the weight and the inertial seismic load can increase even more. New effective seismic protection methods are required. This paper addresses the vibrational motion of a homogeneous rod like elastic structure based on vibratory bearings bounded with high-order rotation surfaces, taking into account rolling friction on relaxing grounds with a horizontal base displacement. We have derived the system motion equations. The work included studied stationary modes of the oscillatory process under harmonic disturbance. We determined the stability criteria for the system oscillatory motion. It was established that the vibratory bearing bounded by high-order rotation surfaces ensures reduced mechanical energy received by the structure from the base through tuning the structure oscillation frequencies from the prevailing impact frequencies.