Free vibration measurement of beams using Hertz’s method

The paper deals with the problem of measuring free vibrations of metal bridge beams using the general theory of the body collision by Hertz’s method. The load-beam dynamic interaction considers inertia and acceleration in the oscillation process of bodies and presents an up-to-date contact theory of elasticity and elastoplastic deformation. Purpose: The aim of this work the numerical solution of the contact problem suggested by L.I. Malament and the general theory of small elastoplastic deformation, load/impact dependences of the beam, collision of bodies and their inertia and acceleration in time. Research findings: The measurement of free vibrations of bridge span beams is improved in practical conditions, which meet the modern requirements of the theory of vibrations under the dynamic load.