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首页> 外文期刊>Mathematical Problems in Engineering >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：轴向功能梯度斜角层板的弯曲分析的解析解

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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 x-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 (x) and thickness (z) direction. The system of ODEs along the z-direction has constant coefficients, solved analytically. However, the system of ODEs along z-direction has variable coefficients, solved usingmodified 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，提出了在任意边界条件下对轴向功能梯度（AFG）斜角平板进行分析的解决方案。假定AFG面板的材料属性沿x方向线性变化。用Reissner型变分原理推导混合形式的控制方程。通过使用扩展的Kantorovich方法（EKM），沿着面内（x）和厚度（z）方向获得了一组非齐次的常微分方程（ODE）。沿z方向的ODE系统具有恒定系数，可以通过解析来求解。但是，沿z方向的ODE系统具有可变系数，可以使用改进的幂级数法求解。对于不同的边界条件集，研究和讨论了特性变化对挠度和应力的影响。通过与3D FE进行比较来验证数值结果。提出的分析解决方案可以用作评估二维解决方案或3D数值解决方案准确性的基准。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|2597484.1-2597484.17|共17页
  • 作者

    Singh Agyapal; Kumari Poonam; Hazarika Rupam;

  • 作者单位

    Indian Inst Technol Guwahati, Dept Mech Engn, Gauhati 781039, India;

    Indian Inst Technol Guwahati, Dept Mech Engn, Gauhati 781039, India;

    Indian Inst Technol Guwahati, Dept Mech Engn, Gauhati 781039, India;

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