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弹性介质包围的螺旋波纹夹芯功能梯度材料圆柱壳的非线性屈曲行为

Nonlinear Buckling Behavior of Spiral Corrugated Sandwich FGM Cylindrical Shells Surrounded by an Elastic Medium.

作者信息

Tho Hung Vu, Thuy Dong Dang, Thi Phuong Nguyen, Ngoc Ly Le, Quang Minh Tran, Trung Nguyen-Thoi, Hoai Nam Vu

机构信息

Faculty of Civil Engineering, University of Transport Technology, Hanoi 100000, Vietnam.

Faculty of Fundamental Science for Engineering, University of Transport Technology, Hanoi 100000, Vietnam.

出版信息

Materials (Basel). 2020 Apr 24;13(8):1984. doi: 10.3390/ma13081984.

DOI:10.3390/ma13081984
PMID:32344545
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7362207/
Abstract

This paper presents a semi-analytical approach for investigating the nonlinear buckling and postbuckling of spiral corrugated sandwich functionally graded (FGM) cylindrical shells under external pressure and surrounded by a two-parameter elastic foundation based on Donnell shell theory. The improved homogenization theory for the spiral corrugated FGM structure is applied and the geometrical nonlinearity in a von Karman sense is taken into account. The nonlinear equilibrium equation system can be solved by using the Galerkin method with the three-term solution form of deflection. An explicit solution form for the nonlinear buckling behavior of shells is obtained. The critical buckling pressure and the postbuckling strength of shells are numerically investigated. Additionally, the effects of spiral corrugation in enhancing the nonlinear buckling behavior of spiral corrugated sandwich FGM cylindrical shells are validated and discussed.

摘要

本文基于Donnell壳理论，提出了一种半解析方法，用于研究外部压力作用下、由双参数弹性地基包围的螺旋波纹夹层功能梯度（FGM）圆柱壳的非线性屈曲和后屈曲问题。应用了改进的螺旋波纹FGM结构均匀化理论，并考虑了von Karman意义下的几何非线性。采用Galerkin方法，以挠度的三项解形式求解非线性平衡方程组。得到了壳非线性屈曲行为的显式解形式。对壳的临界屈曲压力和后屈曲强度进行了数值研究。此外，还验证并讨论了螺旋波纹对增强螺旋波纹夹层FGM圆柱壳非线性屈曲行为的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/9e6eeebc26c9/materials-13-01984-g008.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/35fc039176f0/materials-13-01984-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/9e6eeebc26c9/materials-13-01984-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/65f078c1b52a/materials-13-01984-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/0ee6fe9b93d7/materials-13-01984-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/67b8efaa4e7b/materials-13-01984-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/e31134399e81/materials-13-01984-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/4fd64b81c639/materials-13-01984-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/1d9e1258bcf5/materials-13-01984-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/35fc039176f0/materials-13-01984-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fecc/7362207/9e6eeebc26c9/materials-13-01984-g008.jpg

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Nonlinear Stability Analysis of Eccentrically Stiffened Functionally Graded Truncated Conical Sandwich Shells with Porosity.含孔隙率的偏心加劲功能梯度截顶圆锥夹层壳的非线性稳定性分析
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Materials (Basel). 2022 Dec 5;15(23):8680. doi: 10.3390/ma15238680.
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Analytical Prediction for Nonlinear Buckling of Elastically Supported FG-GPLRC Arches under a Central Point Load.弹性支承功能梯度石墨烯增强复合材料（FG - GPLRC）拱在中心集中载荷作用下非线性屈曲的解析预测
Materials (Basel). 2021 Apr 17;14(8):2026. doi: 10.3390/ma14082026.