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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >Analytical Solution for Bending Analysis of Axially Functionally Graded Angle-Ply Flat Panels
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Analytical Solution for Bending Analysis of Axially Functionally Graded Angle-Ply Flat Panels

机译:用于轴向功能梯度角度平板弯曲分析的分析解决方案

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摘要

In this paper, the analytical solution is presented for axially functionally graded (AFG) angle-ply flat panels subjected to arbitrary boundary condition. Material properties of AFG panels are assumed to vary linearly along -direction. Reissner-type variation principle is used to derive the governing equations in mixed form. By employing extended Kantorovich method (EKM), a set of nonhomogeneous ordinary differential equations (ODEs) are obtained along the in-plane () and thickness () direction. The system of ODEs along the -direction has constant coefficients, solved analytically. However, the system of ODEs along -direction has variable coefficients, solved using modified power series method. The influence of property variation on the deflection and stresses is studied and discussed comprehensively for different sets of boundary conditions. Numerical results are validated through comparison with 3D FE. The presented analytical solution can serve as a benchmark for assessing the accuracy of the two-dimensional solution or 3D numerical solutions.
机译:在本文中,分析解决方案呈现用于经受任意边界条件的轴向功能梯度(AFG)角度平板的平板。假设AFG面板的材料特性沿着一行语线性变化。 Reissner型变化原理用于导出混合形式的控制方程。通过采用扩展的Kantorovich方法(EKM),沿着平面内()和厚度()方向获得一组非均匀常规微分方程(ODES)。沿 - 转向的ODES系统具有恒定的系数,分析解决。然而,沿着一行的ODES系统具有可变系数,使用改进的功率串联方法解决。研究了物质变化对偏转和应力的影响,并综合地讨论了不同的边界条件。通过与3D FE的比较验证了数值结果。所提出的分析解决方案可以作为评估二维解决方案或3D数值解决方案的准确性的基准。

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