Equivalent linearization technique in non-linear stochastic dynamics of a cable-mass system with time-varying length

H. Weber, R. Iwankiewicz & S. Kaczmarczyk
In this paper the transverse vibrations of a vertical cable carrying a concentrated mass at its lower end and moving slowly vertically within the host structure are considered. It is assumed that longitudinal inertia of the cable can be neglected, with the longitudinal motion of the concentrated mass coupled with the lateral motion of the cable. An expansion of the lateral displacement of a cable in terms of approximating functions is used. The excitation acting...
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