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    Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

    Source: Journal of Applied Mechanics:;2019:;volume( 086 ):;issue: 006::page 61001
    Author:
    Zhou, Yang
    ,
    Yi, Zhuangpeng
    ,
    Stanciulescu, Ilinca
    DOI: 10.1115/1.4042572
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents an analytical method to investigate the effects of symmetric and asymmetric elastic supports on the nonlinear equilibria and buckling responses of shallow arches. It is found that arches with symmetric elastic supports can bifurcate into secondary paths with high-order symmetric modes. When a small asymmetry exists in the elastic supports, the equilibria of the arch may abruptly split and lead to the occurrence of remote unconnected equilibria. Such unconnected equilibria can be obtained experimentally or numerically using typical path following controls only with prior knowledge of location of these paths. A small asymmetry in the elastic supports may also make a secondary branch shrink into points connecting surrounding equilibria, resulting in the appearance of more limit points. The analytical solutions are also derived to directly calculate critical loads. We find that the magnitude of the stiffness of symmetric elastic supports has no influence on limits loads and bifurcation loads at branching into secondary paths with symmetric configurations, but greatly affect the bifurcation loads of secondary paths with asymmetric configurations. All critical loads are very sensitive to the degree of asymmetry in the elastic supports. The asymmetry in the supports reduces the top values of all pairs of critical loads compared to the case of symmetric elastic supports. The results obtained from the analytical derivations are confirmed using finite element analysis (FEA).
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      Nonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports

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    contributor authorZhou, Yang
    contributor authorYi, Zhuangpeng
    contributor authorStanciulescu, Ilinca
    date accessioned2019-09-18T09:03:27Z
    date available2019-09-18T09:03:27Z
    date copyright3/16/2019 12:00:00 AM
    date issued2019
    identifier issn0021-8936
    identifier otherjam_86_6_061001.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4258353
    description abstractThis paper presents an analytical method to investigate the effects of symmetric and asymmetric elastic supports on the nonlinear equilibria and buckling responses of shallow arches. It is found that arches with symmetric elastic supports can bifurcate into secondary paths with high-order symmetric modes. When a small asymmetry exists in the elastic supports, the equilibria of the arch may abruptly split and lead to the occurrence of remote unconnected equilibria. Such unconnected equilibria can be obtained experimentally or numerically using typical path following controls only with prior knowledge of location of these paths. A small asymmetry in the elastic supports may also make a secondary branch shrink into points connecting surrounding equilibria, resulting in the appearance of more limit points. The analytical solutions are also derived to directly calculate critical loads. We find that the magnitude of the stiffness of symmetric elastic supports has no influence on limits loads and bifurcation loads at branching into secondary paths with symmetric configurations, but greatly affect the bifurcation loads of secondary paths with asymmetric configurations. All critical loads are very sensitive to the degree of asymmetry in the elastic supports. The asymmetry in the supports reduces the top values of all pairs of critical loads compared to the case of symmetric elastic supports. The results obtained from the analytical derivations are confirmed using finite element analysis (FEA).
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleNonlinear Buckling and Postbuckling of Shallow Arches With Vertical Elastic Supports
    typeJournal Paper
    journal volume86
    journal issue6
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4042572
    journal fristpage61001
    journal lastpage061001-12
    treeJournal of Applied Mechanics:;2019:;volume( 086 ):;issue: 006
    contenttypeFulltext
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