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

Weber, H., Kaczmarczyk, S. and Iwankiewicz, R. (2020) Non-linear stochastic dynamics of a cable-mass system with finite bending stiffness via the equivalent linearization technique. Journal of Theoretical and Applied Mechanics. 58(2), pp. 483-497. 1429-2955.

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Weber_etal_JTAM_2020_Non_linear_stochastic_dynamics_of_a_cable_mass_system_with_finite_bending_stiffness_via_equivalent_linearization_technique
Weber_etal_JTAM_2020_Non_linear_stochastic_dynamics_of_a_cable_mass_system_with_finite_bending_stiffness_via_equivalent_linearization_technique.pdf - Published Version
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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.
Additional Information:
eISSN: 2543-6309 ISSN: 1429-2955
Uncontrolled Keywords:
Stochastic dynamics, Nonlinear systems, Cable, Finite bending stiffness, Equivalent, Linerization technique
Creators:
Weber, H., Kaczmarczyk, S. and Iwankiewicz, R.
Faculties, Divisions and Institutes:
Faculties > Faculty of Arts, Science & Technology > Engineering
Date:
15 April 2020
Date Type:
Publication
Page Range:
pp. 483-497
Journal or Publication Title:
Journal of Theoretical and Applied Mechanics
Volume:
58
Number:
2
Number of Pages:
15
Language:
English
DOI:
10.15632/jtam-pl/118825
ISSN:
1429-2955
Status:
Published / Disseminated
Refereed:
Yes
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