On the size dependent buckling of anisotropic piezoelectric cylindrical shells under combined axial compression and lateral pressure
On the size dependent buckling of anisotropic piezoelectric cylindrical shells under combined axial compression and lateral pressure
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DOI：
10.1016/j.ijmecsci.2016.10.006
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发表时间：
2016-12
影响因子：
7.3
通讯作者：
F. Mehralian;Y. Beni;R. Ansari
中科院分区：
文献类型：
--
作者：
F. Mehralian;Y. Beni;R. Ansari
基于新修正的偶应力理论和考虑vonKármán几何非线性的剪切变形理论，研究了轴压和侧压作用下各向异性压电圆柱壳的屈曲问题。应用最小势能原理，导出了控制方程和边界条件。与经典的连续介质模型不同，本模型是尺寸相关的，并且使用新的修正偶应力理论来捕获尺寸效应。得到了简支、固支-简支和固支压电圆柱壳的临界屈曲载荷。通过数值计算，分析了材料长度比、厚度比、长度比、载荷相互作用参数以及外加电压等参数对临界屈曲载荷的影响。临界屈曲载荷被发现是显着的尺寸依赖性，特别是对于大的值的厚度和小的值的长度比。此外，载荷相互作用参数的影响被发现是可以忽略不计的大值的长度和小值的厚度比。
Buckling of anisotropic piezoelectric cylindrical shells subjected to axial compression and lateral pressure is investigated based on the new modified couple stress theory and using the shear deformation theory with the vonKármángeometrical nonlinearity. By applying the principle of minimum potential energy, the governing equations and boundary conditions are derived. Unlike the classical continuum model, the present model is size-dependent, and the size effects are captured using the new modified couple stress theory. The critical buckling load is obtained for simply supported, clamped-simply supported and clamped piezoelectric cylindrical shells. A detailed numerical study is carried out to discuss the effects of different parameters, such as material length scale parameter, thickness ratio, length ratio, load interaction parameter and the external electric voltage on the critical buckling load. The critical buckling load is found to be significantly size-dependent, especially for large values of thickness and small values of length ratio. Besides, the influence of load interaction parameter is found to be negligible for large values of length and small values of thickness ratio.