Аңдатпа
The work is devoted to the study of linear vibrations of a mechanical system with one degree of freedom under random kinematic action.The problem is solved by the Green function method for the general case of non-stationary effects.Using the theory of random functions general expressions for determining the mathematical expectation and correlation function of the output process were obtained.Non-stationary vibrations of the system under stationary excitations of two types are considered, namely in the form of "white noise" and an exponentially-correlated process.Expressions for the correlation function and the dispersion of the output process are determined for these actions.An expression for the dispersion of a relative mass transfer is also defined.This mode of vibration is characteristic of transition processes in the system.A transition to the steady state vibration of the system was made by increasing the observation time.The problem of stationary vibrations of the system under stationary random kinematic actions was solved by the spectral method.The solution is used to determine the probability characteristics of vibrations of vehicle suspension from the effects of a random microprofile of the road.At the same time the kinematic effect is represented by two types of random processes: an exponentially correlated process and a cosine process.Based on the solution of the problem, general expressions can be obtained for determining the spectral density and the correlation function of the dynamic component of the force in the suspension.Specific expressions for an exponentiallycorrelated process are obtained.The results of the work can be used in the calculation and design of vibration protection systems for equipment and workplaces from random kinematic actions as well as for estimating an error in the readings of instruments and equipment installed on the supports experiencing random vibrations.