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    Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams

    Source: Journal of Applied Mechanics:;2020:;volume( 087 ):;issue: 012::page 0121007-1
    Author:
    Harvey, Philip S., Jr.
    ,
    Wiebe, Richard
    ,
    Cain, Thomas M. N.
    DOI: 10.1115/1.4048199
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.
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      Inextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams

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    contributor authorHarvey, Philip S., Jr.
    contributor authorWiebe, Richard
    contributor authorCain, Thomas M. N.
    date accessioned2022-02-04T22:06:00Z
    date available2022-02-04T22:06:00Z
    date copyright9/16/2020 12:00:00 AM
    date issued2020
    identifier issn0021-8936
    identifier otherjam_87_12_121003.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4274871
    description abstractA buckled beam with shallow rise under lateral constraint is considered. The initial rise results from a prescribed end displacement. The beam is modeled as inextensible, and analytical solutions of the equilibria are obtained from a constrained energy minimization problem. For simplicity, the results are derived for the archetypal beam with pinned ends. It is found that there are an infinite number of zero lateral-load equilibria, each corresponding to an Euler buckling mode. A numerical model is used to verify the accuracy of the model and also to explore the effects of extensibility.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleInextensibility and Its Effect on the Number of Equilibria of Shallow Buckled Beams
    typeJournal Paper
    journal volume87
    journal issue12
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4048199
    journal fristpage0121007-1
    journal lastpage0121007-12
    page12
    treeJournal of Applied Mechanics:;2020:;volume( 087 ):;issue: 012
    contenttypeFulltext
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