A Kerr-type elastic foundation model for the buckling analysis of a beam bonded on an elastic layer
A Kerr-type elastic foundation model for the buckling analysis of a beam bonded on an elastic layer
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用于弹性层粘合梁屈曲分析的 Kerr 型弹性地基模型
DOI：
10.1002/zamm.201900162
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Wu J.
中科院分区：
文献类型：
--
作者：
Zhang L.;Wu G. T.;Wu J.
提出了一种克尔型弹性地基模型来研究粘在线弹性层上梁的屈曲。该层的下表面在刚性基底上粘结或滑动。本克尔型模型提供了压力和层上表面法向挠度之间的线性微分关系，当忽略高阶微分关系时，简化为现有的地基模型。然后，根据对可压缩层和不可压缩层都有效的简单公式，得到无限长梁和有限长简支梁的临界屈曲力。与已有的数值结果和有限元结果的比较表明，本文模型能够反映弹性层的支撑效应，可用于研究弹性层上梁的屈曲或弯曲问题。
A Kerr‐type elastic foundation model is proposed to study the buckling of a beam bonded on the top of a linear elastic layer. The layer's lower‐surface is either bonded or sliding on a rigid substrate. The present Kerr‐type model provides a linear differential relation between the pressure and the normal deflection of the layer's upper‐surface, and reduces to the existing foundation models when high‐order differential relations are neglected. The critical buckling force is then obtained for both an infinitely long beam and a simply‐supported beam of finite length, based on a simple formula which is valid for both a compressible and an incompressible layer. Reasonable agreement with the existing numerical results and our finite element results shows that the present model has the capability to capture the support effect of the elastic layer, and can be used to study the buckling or the bending of a beam bonded on an elastic layer.