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    Exact Method for Static Analysis of Periodic Structures

    Source: Journal of Engineering Mechanics:;1989:;Volume ( 115 ):;issue: 002
    Author:
    Y. K. Cheung
    ,
    H. C. Chan
    ,
    C. W. Cai
    DOI: 10.1061/(ASCE)0733-9399(1989)115:2(415)
    Publisher: American Society of Civil Engineers
    Abstract: The U‐transform method has been applied successfully to the vibration analysis of infinite periodic continuous beams and has been proven to be a very useful exact analytical method for analyzing periodic structures. In this paper it is established that this method can be applied to the rigorous analysis of some finite periodic structures under all types of static loading conditions as well. In order to demonstrate this fact, a continuous beam and a continuous plate with finite or infinite number of spans under uniformly distributed or concentrated static loading conditions are analyzed and presented as examples. The solutions obtained are rigorous analytical solutions without any restriction on the condition of loading.
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      Exact Method for Static Analysis of Periodic Structures

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    contributor authorY. K. Cheung
    contributor authorH. C. Chan
    contributor authorC. W. Cai
    date accessioned2017-05-08T22:23:59Z
    date available2017-05-08T22:23:59Z
    date copyrightFebruary 1989
    date issued1989
    identifier other%28asce%290733-9399%281989%29115%3A2%28415%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/79675
    description abstractThe U‐transform method has been applied successfully to the vibration analysis of infinite periodic continuous beams and has been proven to be a very useful exact analytical method for analyzing periodic structures. In this paper it is established that this method can be applied to the rigorous analysis of some finite periodic structures under all types of static loading conditions as well. In order to demonstrate this fact, a continuous beam and a continuous plate with finite or infinite number of spans under uniformly distributed or concentrated static loading conditions are analyzed and presented as examples. The solutions obtained are rigorous analytical solutions without any restriction on the condition of loading.
    publisherAmerican Society of Civil Engineers
    titleExact Method for Static Analysis of Periodic Structures
    typeJournal Paper
    journal volume115
    journal issue2
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1989)115:2(415)
    treeJournal of Engineering Mechanics:;1989:;Volume ( 115 ):;issue: 002
    contenttypeFulltext
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