Non-linear stochastic dynamics of a cable-mass system with finite bending stiffness via equivalent linearization technique.

Hanna Weber, Stefan Kaczmarczyk, Radoslaw Iwankiewicz

Research output: Contribution to JournalArticle


The non-linear stochastic dynamic behaviour of a high-rise vertical transportation system in form of a model consisting of a concentrated mass and a cable with finite bending stiffness is considered. The slow time scale is defined and the lateral cable displacements coupled with its transverse motions are expanded in terms of approximating functions. The excitation of the high-rise building is assumed in the form of narrow-band process mean-square equivalent to the harmonic process. An equivalent linearization technique is used to replace the original non-linear system with a linear one, whose coefficients are determined from the minimization of the mean-square equation difference between both systems.
Original languageEnglish
JournalJournal of Theoretical and Applied Mechanics
Publication statusAccepted/In press - 24 Feb 2020


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