SUMMARYThe solution of the problem of vibration of linearly elastic structures, caused by stochastic excitation of non-interrupted, jump-discontinuous character, is considered in the paper. Two types of excitation are examined. They form an enhancement of the continuous model which is most often used. The solution in the form of expected values, correlation functions and spectral densities of the deflection of the structure is formulated. Examples illustrating the solution are presented.
The foundation for the machine in the form of the flat frame made of thick bars is examined in the paper. The frame is modelled by FEM with the application of the original Timoshenko beam element. The machine is treated as the nondeformable block viscoelastically supported on the frame. The dynamic load is random and has the form of the periodic series of short duration shocks. The solution of the problem is presented in the correlation theory sphere, using the influence response function of the multi‐degree‐of‐freedom system.
Vibration problem of a building, excited by the movement of its base, is considered. The kinematic excitation is regarded as a stream of successive overlapping random signals appearing at random times. It idealizes the base vibrations generated by the traffic or by some machines like hammers, presses etc. To define the excitation process the Poisson process theory is being applied. The solution of the problem is formulated in the correlation theory sphere by using the impulse response function defined for the multi-degree-of-freedom system.
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