不同类型FGM加劲板的非线性屈曲分析

Viet Tuan Dang, Quang Huy Dao
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引用次数: 0

摘要

本文对功能梯度材料(FGM)板在轴向压缩下的非线性屈曲行为进行了分析研究。假设板加筋采用FGM矩形、I型和t型加劲筋。利用经典板理论,考虑冯·卡门几何非线性,建立了计算公式。针对不同类型的FGM加劲板,开发了Lekhnitskii涂抹加劲板技术。利用伽辽金法得到非线性代数方程组,求解得到板的临界屈曲载荷和后屈曲载荷-挠度曲线的显式表达式。数值算例验证了不同类型的FGM加强筋、材料和几何参数对板的非线性行为的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nonlinear buckling analysis of FGM plates stiffened by different FGM stiffener types
In this paper, the nonlinear buckling behavior of functionally graded material (FGM) plates subjected to an axial compression is analytically investigated. Assuming that the plates are stiffened by FGM rectangular, I- and T-stiffeners. The formulations are established by using the classical plate theory considering the geometrical nonlinearities of von Karman. The Lekhnitskii’s smeared stiffener technique is developed for different types of FGM stiffeners. The Galerkin method is utilized to obtain the nonlinear algebraically equation system, then, solve it to determine the explicit expressions of critical buckling loads and postbuckling load–deflection curves of plates. Numerical examples validate the effects of different types of FGM stiffeners, material and geometrical parameters on nonlinear behavior of plates.
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