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    Chaotic Behavior of a Symmetric Laminate With Transient Thermal Field

    Source: Journal of Vibration and Acoustics:;2006:;volume( 128 ):;issue: 004::page 429
    Author:
    Xiaoling He
    DOI: 10.1115/1.2128646
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A symmetric isotropic laminate in a simply supported boundary condition is analyzed for its nonlinear dynamic response subjected to a nonuniform transient thermal field. The equation of motion of a modified Duffing type in a decoupled modal form is obtained for both orthotropic and isotropic symmetric laminate from the reduction of the governing equation of motion by using a Galerkin-type method. Thermally induced nonlinear response and thermal mechanically induced response are investigated in a multimode analysis. The influence of the transient thermal field is found to cause drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading levels can cause transition between chaos and quasi-periodic oscillations.
    keyword(s): Temperature , Laminates , Stress , Equations of motion , Deflection , Chaos , Oscillations , Equations , Boundary-value problems AND Frequency ,
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      Chaotic Behavior of a Symmetric Laminate With Transient Thermal Field

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    http://yetl.yabesh.ir/yetl1/handle/yetl/134926
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    contributor authorXiaoling He
    date accessioned2017-05-09T00:22:07Z
    date available2017-05-09T00:22:07Z
    date copyrightAugust, 2006
    date issued2006
    identifier issn1048-9002
    identifier otherJVACEK-28881#429_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/134926
    description abstractA symmetric isotropic laminate in a simply supported boundary condition is analyzed for its nonlinear dynamic response subjected to a nonuniform transient thermal field. The equation of motion of a modified Duffing type in a decoupled modal form is obtained for both orthotropic and isotropic symmetric laminate from the reduction of the governing equation of motion by using a Galerkin-type method. Thermally induced nonlinear response and thermal mechanically induced response are investigated in a multimode analysis. The influence of the transient thermal field is found to cause drastically different modal response from that due to the steady-state thermal field. Chaos is found being induced by the transient in-plane thermal field, or by both transient in-plane and transverse thermal fields. Unique bifurcation behavior is observed with different thermal frequencies. Different loading levels can cause transition between chaos and quasi-periodic oscillations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleChaotic Behavior of a Symmetric Laminate With Transient Thermal Field
    typeJournal Paper
    journal volume128
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2128646
    journal fristpage429
    journal lastpage438
    identifier eissn1528-8927
    keywordsTemperature
    keywordsLaminates
    keywordsStress
    keywordsEquations of motion
    keywordsDeflection
    keywordsChaos
    keywordsOscillations
    keywordsEquations
    keywordsBoundary-value problems AND Frequency
    treeJournal of Vibration and Acoustics:;2006:;volume( 128 ):;issue: 004
    contenttypeFulltext
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