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中文核心期刊

黏弹性层合圆柱壳的蠕变分岔屈曲

Bifurcation creep buckling of viscoelastic laminated circular cylindrical shells

  • 摘要: 采用Boltzmann积分型本构关系描述铺设单层的黏弹性力学行为,基于DMV扁壳假定和K\'arm\'an-Donnell几何非线性关系,研究了对称铺设黏弹性层合圆柱壳的前屈曲变形特征和分岔蠕变屈曲. 对玻璃纤\linebreak维/环氧树脂基复合材料层合圆柱壳的分析结果表明,在前屈曲阶段,挠曲变形和环向薄膜力随时间的变化趋势主要取决于圆柱壳的铺设方式,可以呈现完全相反的变化特征;层合短圆柱壳两端的边界条件对其蠕变分岔屈曲行为有决定性的影响,径厚比的增加将使分岔形式的延迟失稳现象更加明显.

     

    Abstract: The prebuckling creep deformation and bifurcation creepbuckling for viscoelastic symmetrically laminated circular cylindricalshells subjected to axial compression are analyzed. Boltzmann hereditaryconstitutive relationship is used to model the viscoelastic behavior oflamina and the instantaneous elastic response is assumed whenbifurcation occurs. The governing equations of prebuckling creep deformationand bifurcation buckling are based on DMV shallow shell theory and the K\'arm\'an-Donnell geometrically nonlinear relationship. Thenumerical procedure and analytical deduction based on viscoelasticapproachand quasi-elastic approach, respectively, are performed to investigate thebehavior of prebuckling creep deformation. A semi-analytical solutionstrategy is adopted to obtain the critical time of bifurcation buckling.Particular attention is placed on the analysis of glass/epoxy matrixcomposite circular cylindrical shells, results of prebuckling creepdeformation show that the time-dependent evolution of flexural deformationand circumferential membrane force is strongly dependent on the lay-upconfiguration of cylindrical shells. Both of them decrease in the case ofcross-ply conditions and increase for symmetric angle lay-up mode withtime. Theboundary condition at two ends of short laminated cylindrical shells withsymmetric angle lay-up plays a key role on the stability and the bifurcationcreep buckling may not be observed for simply supported ends.The increase of the ratio of radius to thickness will deteriorate the longterm stability of laminated cylindrical shells with constrained ends.

     

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