Dynamic response of a micro-periodic beam under moving load – deterministic and stochastic approach

In the paper, the deterministic and stochastic approach to the problem of vibrations of a beam with periodically varying geometry under moving load is presented. A new averaged model for the dynamics of the periodic-like beam with a variable cross-section, Mazur-Śniady (2001), is applied. The approach to dynamics of the periodic-like beam assumed in the paper is based on concepts of the tolerance-averaged model by Woźniak (1999). The solution obtained for a single moving force is the basis of solution of stochastic vibrations caused by random train of moving forces.