Since 1963
ARTICLE
Non-linear stochastic dynamics of a cable-mass system with finite bending stiffness via an equivalent linearization technique
| 1 | West Pomeranian University of Technology, Faculty of Civil Engineering and Architecture, Szczecin, Poland |
| 2 | University of Northampton, Faculty of Arts, Science and Technology, UK |
CORRESPONDING AUTHOR
Hanna Weber
Civil Engineering and Architecture, West Pomeranian University of Technology in Szczecin, AL. Piastów 50, 70-311, Szczecin, Poland
Civil Engineering and Architecture, West Pomeranian University of Technology in Szczecin, AL. Piastów 50, 70-311, Szczecin, Poland
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
Journal of Theoretical and Applied Mechanics 2020;58(2):483–497
KEYWORDS
TOPICS
ABSTRACT
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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