Global and local dynamics of drifting oscillator for different contact force models

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Abstract

Accurate description of the contact force between two impacting solid bodies is important in various engineering applications. This paper examines the effects of contact force models on the global and local dynamics of a drifting oscillator. Three contact force models are considered in this study, namely the Kelvin–Voigt (KV), the Hertz stiffness (HS) and the non-linear contact stiffness and damping (NSD) models. The non-linear analysis of the considered system shows that the local and global dynamic behaviour depend on the choice of contact force model. The short-term (local) dynamic response for the system are almost identical for all the three models. However, results for the long-term (global) dynamics of the system depend on the choice of contact force model; while the results for HS model are topologically similar to those of the KV model, the corresponding results for NSD are different from the other two models.
Original languageEnglish
Pages (from-to)850-858
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Volume45
Issue number9
Early online date24 Dec 2009
DOIs
Publication statusPublished - Nov 2010

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Contact Force
Stiffness
Global Dynamics
Model
Damping
Contact
Nonlinear analysis
Engineering Application
Nonlinear Analysis
Dynamic Response
Dynamic Behavior
Dynamic response

Keywords

  • contact force models
  • non-linear dynamics
  • drifting impact oscillator

Cite this

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title = "Global and local dynamics of drifting oscillator for different contact force models",
abstract = "Accurate description of the contact force between two impacting solid bodies is important in various engineering applications. This paper examines the effects of contact force models on the global and local dynamics of a drifting oscillator. Three contact force models are considered in this study, namely the Kelvin–Voigt (KV), the Hertz stiffness (HS) and the non-linear contact stiffness and damping (NSD) models. The non-linear analysis of the considered system shows that the local and global dynamic behaviour depend on the choice of contact force model. The short-term (local) dynamic response for the system are almost identical for all the three models. However, results for the long-term (global) dynamics of the system depend on the choice of contact force model; while the results for HS model are topologically similar to those of the KV model, the corresponding results for NSD are different from the other two models.",
keywords = "contact force models, non-linear dynamics, drifting impact oscillator",
author = "Ajibose, {O K} and M Wiercigroch and E Pavlovskaia and Akisanya, {A R}",
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T1 - Global and local dynamics of drifting oscillator for different contact force models

AU - Ajibose, O K

AU - Wiercigroch, M

AU - Pavlovskaia, E

AU - Akisanya, A R

PY - 2010/11

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N2 - Accurate description of the contact force between two impacting solid bodies is important in various engineering applications. This paper examines the effects of contact force models on the global and local dynamics of a drifting oscillator. Three contact force models are considered in this study, namely the Kelvin–Voigt (KV), the Hertz stiffness (HS) and the non-linear contact stiffness and damping (NSD) models. The non-linear analysis of the considered system shows that the local and global dynamic behaviour depend on the choice of contact force model. The short-term (local) dynamic response for the system are almost identical for all the three models. However, results for the long-term (global) dynamics of the system depend on the choice of contact force model; while the results for HS model are topologically similar to those of the KV model, the corresponding results for NSD are different from the other two models.

AB - Accurate description of the contact force between two impacting solid bodies is important in various engineering applications. This paper examines the effects of contact force models on the global and local dynamics of a drifting oscillator. Three contact force models are considered in this study, namely the Kelvin–Voigt (KV), the Hertz stiffness (HS) and the non-linear contact stiffness and damping (NSD) models. The non-linear analysis of the considered system shows that the local and global dynamic behaviour depend on the choice of contact force model. The short-term (local) dynamic response for the system are almost identical for all the three models. However, results for the long-term (global) dynamics of the system depend on the choice of contact force model; while the results for HS model are topologically similar to those of the KV model, the corresponding results for NSD are different from the other two models.

KW - contact force models

KW - non-linear dynamics

KW - drifting impact oscillator

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