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    Method for Constructing a Compact Component Mode Synthesis Model for Analyzing Nonlinear Normal Modes of Structures With Localized Nonlinearities1

    Source: Journal of Vibration and Acoustics:;2024:;volume( 146 ):;issue: 006::page 61103-1
    Author:
    Chen, Xuan-Hong
    ,
    Tien, Meng-Hsuan
    DOI: 10.1115/1.4067107
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Nonlinear dynamics analysis is a crucial topic in mechanical and aerospace engineering. The analysis of nonlinear normal modes (NNMs) provides an effective mathematical tool for interpreting complex nonlinear vibration phenomena. Unlike the invariant normal modes of linear systems, NNMs often exhibit frequency–energy dependence and cannot be computed using the traditional eigen-decomposition method. Calculating NNMs relies on numerical methods that involve expensive iterative computations, especially for systems with numerous degrees-of-freedom. To relieve computational costs, this article proposes a mode selection method for the component mode synthesis (CMS) technique to enable compact reduced-order modeling of structures with localized nonlinearities. The reduced-order model is then combined with a numerical continuation scheme to establish a low-cost NNM analysis framework. This framework can efficiently predict the NNMs of high-dimensional finite element models. The proposed framework is demonstrated on an I-shaped cantilever beam with localized nonlinear stiffness. The results show that the proposed approach can identify the key modes in the CMS modeling procedure. The NNMs of the nonlinear I-shaped beam structure can then be analyzed with a significant reduction in computational costs.
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      Method for Constructing a Compact Component Mode Synthesis Model for Analyzing Nonlinear Normal Modes of Structures With Localized Nonlinearities1

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4306497
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    contributor authorChen, Xuan-Hong
    contributor authorTien, Meng-Hsuan
    date accessioned2025-04-21T10:35:13Z
    date available2025-04-21T10:35:13Z
    date copyright11/26/2024 12:00:00 AM
    date issued2024
    identifier issn1048-9002
    identifier othervib_146_6_061103.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4306497
    description abstractNonlinear dynamics analysis is a crucial topic in mechanical and aerospace engineering. The analysis of nonlinear normal modes (NNMs) provides an effective mathematical tool for interpreting complex nonlinear vibration phenomena. Unlike the invariant normal modes of linear systems, NNMs often exhibit frequency–energy dependence and cannot be computed using the traditional eigen-decomposition method. Calculating NNMs relies on numerical methods that involve expensive iterative computations, especially for systems with numerous degrees-of-freedom. To relieve computational costs, this article proposes a mode selection method for the component mode synthesis (CMS) technique to enable compact reduced-order modeling of structures with localized nonlinearities. The reduced-order model is then combined with a numerical continuation scheme to establish a low-cost NNM analysis framework. This framework can efficiently predict the NNMs of high-dimensional finite element models. The proposed framework is demonstrated on an I-shaped cantilever beam with localized nonlinear stiffness. The results show that the proposed approach can identify the key modes in the CMS modeling procedure. The NNMs of the nonlinear I-shaped beam structure can then be analyzed with a significant reduction in computational costs.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleMethod for Constructing a Compact Component Mode Synthesis Model for Analyzing Nonlinear Normal Modes of Structures With Localized Nonlinearities1
    typeJournal Paper
    journal volume146
    journal issue6
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4067107
    journal fristpage61103-1
    journal lastpage61103-11
    page11
    treeJournal of Vibration and Acoustics:;2024:;volume( 146 ):;issue: 006
    contenttypeFulltext
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