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首页> 外文期刊>Journal of Mechanical Science and Technology >Buckling analysis of FGM plates under uniform, linear and non-linear in-plane loading
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Buckling analysis of FGM plates under uniform, linear and non-linear in-plane loading

机译：均匀，线性和非线性在线载荷下FGM板屈曲分析

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摘要

The paper investigates the buckling responses of functionally graded material (FGM) plate subjected to uniform, linear, and non-linear in-plane loads. New nonlinear in-plane load models are proposed based on trigonometric and exponential function. Non-dimensional critical buckling loads are evaluated using non-polynomial based higher order shear deformation theory. Navier's method, which assures minimum numerical error, is employed to get an accurate explicit solution. The equilibrium conditions are determined utilizing the principle of virtual displacements and material property are graded in the thickness direction using simple Voigt model or exponential law. The present formulation is accurate and efficient in analyzing the behavior of thin, thick and moderately thick FGM plate for buckling analysis. It is found that with the help of displacement-buckling load curve, critical buckling load can be derived and maximum displacement due to the instability of inplane load can be obtained. Also, the randomness in the values of transverse displacement due to inplane load increases as the extent of uniformity of the load on the plate is disturbed. Furthermore, the parametric varying studies are performed to analyse the effect of span-to-thickness ratio, volume fraction exponent, aspect ratio, the shape parameter for non-uniform inplane load, and non-dimensional load parameter on the non-dimensional deflections, stresses, and critical buckling load for FGM plates.
机译：本文研究了经受均匀，线性和非线性内部载荷的功能梯度材料（FGM）板的屈曲响应。基于三角函数和指数函数提出了新的非线性面内负载模型。使用非多项式的高阶剪切变形理论评估非维度关键屈曲负荷。采用Navier的方法，以确保最小数值错误，以获得准确的显式解决方案。利用虚拟位移原理确定平衡条件，使用简单的voigt模型或指数律在厚度方向上渐变材料特性。本配方在分析弯曲分析的薄厚度和中等厚的FGM板的行为方面是准确和有效的。结果发现，在位移屈曲曲线的帮助下，可以获得临界屈曲负载，并且可以获得由于难民负载的不稳定性而导致的最大位移。而且，由于板上负载的均匀程度受到干扰，因此由于插入载荷引起的横向位移值的随机性增加。此外，执行参数变化研究以分析跨度到厚度比，体积分数指数，纵横比，非均匀入口负载的形状参数的影响，以及非尺寸偏转的非维度负载参数， FGM板的应力和临界屈曲负荷。

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