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

Hanna Weber, Stefan Kaczmarczyk, Radoslaw Iwankiewicz

Research output: Contribution to JournalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)483-497
Number of pages15
JournalJournal of Theoretical and Applied Mechanics
Volume58
Issue number2
DOIs
Publication statusPublished - 15 Apr 2020

Bibliographical note

eISSN: 2543-6309
ISSN: 1429-2955

Keywords

  • Stochastic dynamics
  • Nonlinear systems
  • Cable
  • Finite bending stiffness
  • Equivalent
  • Linerization technique

Fingerprint Dive into the research topics of 'Non-linear stochastic dynamics of a cable-mass system with finite bending stiffness via the equivalent linearization technique'. Together they form a unique fingerprint.

Cite this