Non-linear stochastic dynamics of a cable-mass system with finite bending stiffness via an equivalent linearization technique
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West Pomeranian University of Technology, Faculty of Civil Engineering and Architecture, Szczecin, Poland
University of Northampton, Faculty of Arts, Science and Technology, UK
Submission date: 2019-11-30
Final revision date: 2020-01-27
Acceptance date: 2020-02-24
Online publication date: 2020-04-15
Publication date: 2020-04-15
Corresponding author
Hanna Weber   

Civil Engineering and Architecture, West Pomeranian University of Technology in Szczecin, AL. Piastów 50, 70-311, Szczecin, Poland
Journal of Theoretical and Applied Mechanics 2020;58(2):483-497
The non-linear stochastic dynamic behaviour of a high-rise vertical transportation system modelled as a concentrated mass and a cable with finite bending stiffness is considered. The slow time scale is defined and lateral cable displacements coupled with transverse motions are expanded in terms of approximating functions. The excitation of the high-rise building is assumed in the form of a narrow-band mean-square process equivalent to the harmonic process. The equivalent linearization technique is used to replace the original non-linear system with a linear approximation whose coefficients are determined from minimization of the mean-square equation difference between both systems.
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