Global asymptotic approximations for wrinkling of polar orthotropic annular plates in tension
Global asymptotic approximations for wrinkling of polar orthotropic annular plates in tension
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DOI：
10.1016/j.ijsolstr.2010.02.020
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发表时间：
2010-06
影响因子：
3.6
通讯作者：
C. Coman
中科院分区：
文献类型：
--
作者：
C. Coman
本文研究了受拉环形薄板的弹性起皱问题中的极各向异性的作用。这种广义本构框架的一个吸引人的特点是允许径向和周向具有不同的弯曲刚度的可能性。通过对屈曲方程进行适当的重新标度，确定了三个主要参数对线性起皱机构的行为负责。我们进行了一些奇异摄动分析，以捕捉临界载荷和振型数对问题描述中的各种物理参数的依赖关系。
The role of polar orthotropy is investigated in relation to an elastic wrinkling problem for annular thin plates in tension. An appealing feature of this generalised constitutive framework is the possibility of allowing the radial and circumferential directions to have different bending stiffnesses. By suitably rescaling the buckling equation, three main parameters are identified as being responsible for the behaviour of the linear wrinkling mechanism. We conduct a number of singular-perturbation analyses in order to capture the dependence of the critical loads and mode numbers on the various physical parameters that enter in the description of the problem.