Non-linear modal interactions in a suspension rope system with time-varying length

Rodanthi Samamaliki-Simpson; Stefan Kaczmarczyk; Philip Picton; Scott J Turner

doi:10.4028/www.scientific.net/AMM.5-6.217

Non-linear modal interactions in a suspension rope system with time-varying length

Rodanthi Samamaliki-Simpson, Stefan Kaczmarczyk, Philip Picton, Scott J Turner

Research output: Contribution to Journal › Article › peer-review

Abstract

This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur

Original language	English
Journal	Applied Mechanics and Materials
Volume	5-6
DOIs	https://doi.org/10.4028/www.scientific.net/AMM.5-6.217
Publication status	Published - 1 Jan 2006

Keywords

Suspension rope
non-linear system
time-varying length
non-linear coupling
modal interactions
autoparametric resonance

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10.4028/www.scientific.net/AMM.5-6.217

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title = "Non-linear modal interactions in a suspension rope system with time-varying length",

abstract = "This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur",

keywords = "Suspension rope, non-linear system, time-varying length, non-linear coupling, modal interactions, autoparametric resonance",

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AU - Samamaliki-Simpson, Rodanthi

AU - Kaczmarczyk, Stefan

AU - Picton, Philip

AU - Turner, Scott J

PY - 2006/1/1

Y1 - 2006/1/1

N2 - This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur

AB - This paper focuses on the investigation of the autoparametric coupling effects and modal interactions in a suspension rope system with a time varying length. Equations of motion of a multi-degree-of-freedom discrete, non-stationary and non-linear model are presented and are used to analyze the dynamic response of an elevator suspension rope system under resonance conditions. The equations of motion involve quadratic and cubic non-linear terms which are responsible for the modal interaction between the lateral and longitudinal oscillations of the rope and the car motions. The model takes into account the periodic excitations caused by motion of the host structure. The results confirm that adverse responses may arise and internal autoparametric resonance phenomena may occur

KW - Suspension rope

KW - non-linear system

KW - time-varying length

KW - non-linear coupling

KW - modal interactions

KW - autoparametric resonance

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M3 - Article

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VL - 5-6

JO - Applied Mechanics and Materials

JF - Applied Mechanics and Materials

ER -

Non-linear modal interactions in a suspension rope system with time-varying length

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