Abstract
Motion of a linear system on the uneven beam on an elastic foundations
A dynamic system with elastic and viscous bonds is moving on the undulated surface of an indefinitely long beam on elastic foundations. The undulations are defined as the stationary stochastic input process z(ξ).
The manner of obtainment of the stochastic characteristics of the output processes ui(t), y(t, x) by correlation analysis is shown, with more detailed analysis for the one-degree-of-freedom system.
The solution can be evaluated by numerical integrations.
References
1. J.T. Kenney, Steady-state vibrations of beams of elastic foundations for moving load, .J, Appl. Mech., No 4, 1954.
2. Н.А. Лившиц, В. И. Пугачев, ВероятностньУй анализ систем автоматического управления, Москва 1963.
2. Н.А. Лившиц, В. И. Пугачев, ВероятностньУй анализ систем автоматического управления, Москва 1963.
