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    Theoretical Analysis of Free Vibration and Transient Response of Rectangular Plate–Cavity System Under Impact Loading

    Source: Journal of Pressure Vessel Technology:;2023:;volume( 145 ):;issue: 003::page 31402-1
    Author:
    Ji, Ming
    ,
    Inaba, Kazuaki
    DOI: 10.1115/1.4062121
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a theoretical method to solve the free vibration and transient responses of a rectangular plate–cavity system. The spectral collocation method was used to solve the resonant frequencies and corresponding mode shapes of rectangular plates based on Kirchhoff thin plate and Mindlin–Reissner thick plate theories. A linear velocity potential function was employed to model the fluid pressure applied to the plate surface. Unlike in previous studies, it was not assumed that the wet-mode shapes were the same as the dry-mode ones. Rather, the wet modes were assumed to be the superposition of the dry modes; then, the resonant frequencies and corresponding mode shapes of the wet modes could be obtained by solving the equations of the coupled system by exploiting the orthogonality of dry modes. Using dry modes’ orthogonality and superposition of the wet modes, the transient responses of the rectangular plate–cavity system under impact loading can be solved. A method for estimating the resonant frequencies of the coupled system is proposed based on parametric studies to determine the influence of the fluid properties and plate materials on resonant frequencies. As a result, the resonant frequencies and transient responses obtained from the proposed theoretical methods are in excellent agreement with those obtained from finite element analysis.
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      Theoretical Analysis of Free Vibration and Transient Response of Rectangular Plate–Cavity System Under Impact Loading

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4292536
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    contributor authorJi, Ming
    contributor authorInaba, Kazuaki
    date accessioned2023-08-16T18:48:54Z
    date available2023-08-16T18:48:54Z
    date copyright3/24/2023 12:00:00 AM
    date issued2023
    identifier issn0094-9930
    identifier otherpvt_145_03_031402.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4292536
    description abstractThis paper presents a theoretical method to solve the free vibration and transient responses of a rectangular plate–cavity system. The spectral collocation method was used to solve the resonant frequencies and corresponding mode shapes of rectangular plates based on Kirchhoff thin plate and Mindlin–Reissner thick plate theories. A linear velocity potential function was employed to model the fluid pressure applied to the plate surface. Unlike in previous studies, it was not assumed that the wet-mode shapes were the same as the dry-mode ones. Rather, the wet modes were assumed to be the superposition of the dry modes; then, the resonant frequencies and corresponding mode shapes of the wet modes could be obtained by solving the equations of the coupled system by exploiting the orthogonality of dry modes. Using dry modes’ orthogonality and superposition of the wet modes, the transient responses of the rectangular plate–cavity system under impact loading can be solved. A method for estimating the resonant frequencies of the coupled system is proposed based on parametric studies to determine the influence of the fluid properties and plate materials on resonant frequencies. As a result, the resonant frequencies and transient responses obtained from the proposed theoretical methods are in excellent agreement with those obtained from finite element analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTheoretical Analysis of Free Vibration and Transient Response of Rectangular Plate–Cavity System Under Impact Loading
    typeJournal Paper
    journal volume145
    journal issue3
    journal titleJournal of Pressure Vessel Technology
    identifier doi10.1115/1.4062121
    journal fristpage31402-1
    journal lastpage31402-12
    page12
    treeJournal of Pressure Vessel Technology:;2023:;volume( 145 ):;issue: 003
    contenttypeFulltext
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