考虑剪切效应的环肋圆柱壳的稳定性

INSTABILITY OF RING-STIFFENED CYLINDRICAL SHELL WITH SHEAR EFFECT

  • 摘要: 基于Reissner-Naghdi壳体理论和Timoshenko环梁理论,采用Ritz法对环肋圆柱壳的稳定性进行了研究。在简支边界条件下考虑了壳体和环肋的剪切变形效应对临界载荷的影响。由于环肋会约束壳体的变形,壳体的前屈曲状态应该是有弯曲变形的,环向压缩力也是非均匀分布的,分析了这一因素的影响。算例的计算结果与文献中给出的实验值吻合较好,并表明壳体的剪切效应在一些情形下会对环肋圆柱壳的稳定性产生一定的影响。

     

    Abstract: The instability of ring-stiffened cylindrical shell, based on the Reissner-Naghdi theory of shell and the Timoshenko theory of ring beam, is investigated using Ritz method. The effects of shear deformation of both shell and ring on critical loads are considered for simple supported boundary condition. As the ring restricts the deformation of shell, the pre-buckling state of cylindrical shell subjected to uniform external pressure should be bending, and the circumferential compress resultants should be nonuniform distributing. The influences of pre-buckling state both with bending and without bending on critical loads are analyzed. Numerical results of critical loads for computational examples have good agreement with the experimental values in reference. The results show that the effects of shear deformation on instability of ring-stiffened cylindrical shell are considerable in some situations.

     

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