Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System

This research aims to characterize the nonlinear responses of a 3-layer laminated composite cantilever beam systemsubjected to evenly distributed dynamic excitations, with the employment of the Periodicity Ratio (PR) method. Periodic, quasiperiodic, chaotic behaviors especially the behavio...

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Main Authors: Dai Liming, Huang Kai, Huang Tousheng, Sun Lin
Format: Article
Language:English
Published: De Gruyter 2014-06-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2014-0006
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spelling doaj-9e88a5aa401b451ca5f4c8eece41176f2021-09-06T19:21:06ZengDe GruyterNonlinear Engineering2192-80292014-06-0132576910.1515/nleng-2014-0006Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam SystemDai Liming0Huang Kai1Huang Tousheng2Sun Lin3Industrial Systems Engineering, University of Regina, Canada Industrial Systems Engineering, University of Regina, Canada Industrial Systems Engineering, University of Regina, Canada Industrial Systems Engineering, University of Regina, Canada This research aims to characterize the nonlinear responses of a 3-layer laminated composite cantilever beam systemsubjected to evenly distributed dynamic excitations, with the employment of the Periodicity Ratio (PR) method. Periodic, quasiperiodic, chaotic behaviors especially the behaviors in between period and quasiperiod of the cantilever beam system are quantitatively described. A periodic-quasiperiodic-chaotic region diagram is developed to be used for identifying the global behaviors of the cantilever beam system with a large range of parameters. The research approach demonstrates that the PR method is effective and powerful in analyzing the complex dynamical characteristics of nonlinear cantilever beam systems, and the approach shows significances for industrial application and further nonlinear research in this area.https://doi.org/10.1515/nleng-2014-0006laminated composite cantilever beamnonlinear dynamic system periodicity ratio methodperiodicityquasiperiodicitychaos
collection DOAJ
language English
format Article
sources DOAJ
author Dai Liming
Huang Kai
Huang Tousheng
Sun Lin
spellingShingle Dai Liming
Huang Kai
Huang Tousheng
Sun Lin
Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
Nonlinear Engineering
laminated composite cantilever beam
nonlinear dynamic system
periodicity ratio method
periodicity
quasiperiodicity
chaos
author_facet Dai Liming
Huang Kai
Huang Tousheng
Sun Lin
author_sort Dai Liming
title Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
title_short Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
title_full Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
title_fullStr Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
title_full_unstemmed Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System
title_sort nonlinear behavior characterization of a 3-layer laminated cantilever beam system
publisher De Gruyter
series Nonlinear Engineering
issn 2192-8029
publishDate 2014-06-01
description This research aims to characterize the nonlinear responses of a 3-layer laminated composite cantilever beam systemsubjected to evenly distributed dynamic excitations, with the employment of the Periodicity Ratio (PR) method. Periodic, quasiperiodic, chaotic behaviors especially the behaviors in between period and quasiperiod of the cantilever beam system are quantitatively described. A periodic-quasiperiodic-chaotic region diagram is developed to be used for identifying the global behaviors of the cantilever beam system with a large range of parameters. The research approach demonstrates that the PR method is effective and powerful in analyzing the complex dynamical characteristics of nonlinear cantilever beam systems, and the approach shows significances for industrial application and further nonlinear research in this area.
topic laminated composite cantilever beam
nonlinear dynamic system
periodicity ratio method
periodicity
quasiperiodicity
chaos
url https://doi.org/10.1515/nleng-2014-0006
work_keys_str_mv AT dailiming nonlinearbehaviorcharacterizationofa3layerlaminatedcantileverbeamsystem
AT huangkai nonlinearbehaviorcharacterizationofa3layerlaminatedcantileverbeamsystem
AT huangtousheng nonlinearbehaviorcharacterizationofa3layerlaminatedcantileverbeamsystem
AT sunlin nonlinearbehaviorcharacterizationofa3layerlaminatedcantileverbeamsystem
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