NON-LINEAR STOCHASTIC DYNAMICS OF A CABLE-MASS SYSTEM WITH FINITE BENDING STIFFNESS VIA THE EQUIVALENT LINEARIZATION TECHNIQUE

Weber Hanna; Kaczmarczyk Stepan; Iwankiewicz Radoslaw

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NON-LINEAR STOCHASTIC DYNAMICS OF A CABLE-MASS SYSTEM WITH FINITE BENDING STIFFNESS VIA THE EQUIVALENT LINEARIZATION TECHNIQUE

机译：NON-LINEAR STOCHASTIC DYNAMICS OF A CABLE-MASS SYSTEM WITH FINITE BENDING STIFFNESS VIA THE EQUIVALENT LINEARIZATION TECHNIQUE

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摘要

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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《Journal of teoretical and applied mechanics》 |2020年第2期|483-497|共15页
作者
Weber Hanna; Kaczmarczyk Stepan; Iwankiewicz Radoslaw;
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作者单位

West Pomeranian Univ Technol, Fac Civil Engn & Architecture, Szczecin, Poland;

Univ Northampton, Fac Arts Sci & Thchnol, Northampton, England;

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正文语种英语
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stochastic dynamics; nonlinear systems; cable; finite bending stiffness; equivalent linearization technique;

NON-LINEAR STOCHASTIC DYNAMICS OF A CABLE-MASS SYSTEM WITH FINITE BENDING STIFFNESS VIA THE EQUIVALENT LINEARIZATION TECHNIQUE

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