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    Some Qualitative Properties of the Vibration Modes of the Continuous System of a Beam with One or Two Overhangs

    Source: Journal of Engineering Mechanics:;2012:;Volume ( 138 ):;issue: 008
    Author:
    Qishen Wang
    ,
    Dajun Wang
    ,
    Min He
    ,
    Lihua Zhang
    ,
    Huafeng Qian
    DOI: 10.1061/(ASCE)EM.1943-7889.0000398
    Publisher: American Society of Civil Engineers
    Abstract: Green’s functions for the continuous system of a beam with overhangs are constructed in this paper. Green’s functions for the corresponding mathematically transformed system are proven to be of oscillating kernels. The basic oscillating properties with respect to the natural frequencies and modes of the corresponding systems are revealed and proven. The number of the nodes of the flexural moment modes of the system is determined by analyzing its conjugated system. Furthermore, some qualitative properties of its displacement modes, rotational modes, moment modes, and shearing force modes are also obtained.
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      Some Qualitative Properties of the Vibration Modes of the Continuous System of a Beam with One or Two Overhangs

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    contributor authorQishen Wang
    contributor authorDajun Wang
    contributor authorMin He
    contributor authorLihua Zhang
    contributor authorHuafeng Qian
    date accessioned2017-05-08T21:43:49Z
    date available2017-05-08T21:43:49Z
    date copyrightAugust 2012
    date issued2012
    identifier other%28asce%29em%2E1943-7889%2E0000407.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/60874
    description abstractGreen’s functions for the continuous system of a beam with overhangs are constructed in this paper. Green’s functions for the corresponding mathematically transformed system are proven to be of oscillating kernels. The basic oscillating properties with respect to the natural frequencies and modes of the corresponding systems are revealed and proven. The number of the nodes of the flexural moment modes of the system is determined by analyzing its conjugated system. Furthermore, some qualitative properties of its displacement modes, rotational modes, moment modes, and shearing force modes are also obtained.
    publisherAmerican Society of Civil Engineers
    titleSome Qualitative Properties of the Vibration Modes of the Continuous System of a Beam with One or Two Overhangs
    typeJournal Paper
    journal volume138
    journal issue8
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)EM.1943-7889.0000398
    treeJournal of Engineering Mechanics:;2012:;Volume ( 138 ):;issue: 008
    contenttypeFulltext
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