Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation

In high-rise buildings earthquake ground motions induce bending deformation of the host structure. Large dynamic displacements at the top of the building can be observed which in turn lead to the excitation of the cables/ropes within lift installations. In this paper, the stochastic dynamics of a ca...

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Autores principales:	Hanna Weber, Stefan Kaczmarczyk, Radosław Iwankiewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	stochastic dynamics seismic vibrations non-linear system equivalent linearization technique Gaussian white noise process Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/22bf20a335cb421186fb5ff4b2825be6
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id	oai:doaj.org-article:22bf20a335cb421186fb5ff4b2825be6
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spelling	oai:doaj.org-article:22bf20a335cb421186fb5ff4b2825be62021-11-25T18:14:11ZNon-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation10.3390/ma142268581996-1944https://doaj.org/article/22bf20a335cb421186fb5ff4b2825be62021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/22/6858https://doaj.org/toc/1996-1944In high-rise buildings earthquake ground motions induce bending deformation of the host structure. Large dynamic displacements at the top of the building can be observed which in turn lead to the excitation of the cables/ropes within lift installations. In this paper, the stochastic dynamics of a cable with a spring-damper and a mass system deployed in a tall cantilever structure under earthquake excitation is considered. The non-linear system is developed to describe lateral displacements of a vertical cable with a concentrated mass attached at its lower end. The system is moving slowly in the vertical direction. The horizontal displacements of the main mass are constrained by a spring-viscous damping element. The earthquake ground motions are modelled as a filtered Gaussian white noise stochastic process. The equivalent linearization technique is then used to replace the original non-linear system with a linear one with the coefficients determined by utilising the minimization of the mean-square error between both systems. Mean values, variances and covariances of particular random state variables have been obtained by using the numerical calculation. The received results were compared with the deterministic response of the system to the harmonic process and were verified against results obtained by Monte Carlo simulation.Hanna WeberStefan KaczmarczykRadosław IwankiewiczMDPI AGarticlestochastic dynamicsseismic vibrationsnon-linear systemequivalent linearization techniqueGaussian white noise processTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6858, p 6858 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	stochastic dynamics seismic vibrations non-linear system equivalent linearization technique Gaussian white noise process Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	stochastic dynamics seismic vibrations non-linear system equivalent linearization technique Gaussian white noise process Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Hanna Weber Stefan Kaczmarczyk Radosław Iwankiewicz Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
description	In high-rise buildings earthquake ground motions induce bending deformation of the host structure. Large dynamic displacements at the top of the building can be observed which in turn lead to the excitation of the cables/ropes within lift installations. In this paper, the stochastic dynamics of a cable with a spring-damper and a mass system deployed in a tall cantilever structure under earthquake excitation is considered. The non-linear system is developed to describe lateral displacements of a vertical cable with a concentrated mass attached at its lower end. The system is moving slowly in the vertical direction. The horizontal displacements of the main mass are constrained by a spring-viscous damping element. The earthquake ground motions are modelled as a filtered Gaussian white noise stochastic process. The equivalent linearization technique is then used to replace the original non-linear system with a linear one with the coefficients determined by utilising the minimization of the mean-square error between both systems. Mean values, variances and covariances of particular random state variables have been obtained by using the numerical calculation. The received results were compared with the deterministic response of the system to the harmonic process and were verified against results obtained by Monte Carlo simulation.
format	article
author	Hanna Weber Stefan Kaczmarczyk Radosław Iwankiewicz
author_facet	Hanna Weber Stefan Kaczmarczyk Radosław Iwankiewicz
author_sort	Hanna Weber
title	Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
title_short	Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
title_full	Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
title_fullStr	Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
title_full_unstemmed	Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation
title_sort	non-linear response of cable-mass-spring system in high-rise buildings under stochastic seismic excitation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/22bf20a335cb421186fb5ff4b2825be6
work_keys_str_mv	AT hannaweber nonlinearresponseofcablemassspringsysteminhighrisebuildingsunderstochasticseismicexcitation AT stefankaczmarczyk nonlinearresponseofcablemassspringsysteminhighrisebuildingsunderstochasticseismicexcitation AT radosławiwankiewicz nonlinearresponseofcablemassspringsysteminhighrisebuildingsunderstochasticseismicexcitation
_version_	1718411424662814720

Non-Linear Response of Cable-Mass-Spring System in High-Rise Buildings under Stochastic Seismic Excitation

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