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Analysis of anisotropic plate using multiquadric radial basis function

机译:利用二次平方径向基函数分析各向异性板

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In this paper, multiquadric radial basis function is used for dynamic and static analysis of anisotropic plates. Multiquadric radial basis function is applied for spatial discretization and Newmark implicit scheme is used for temporal discretization. The spatial discretization of the differential equations generates greater number of algebraic equations than the unknown coefficients. The multiple linear regression analysis, which is based on the least squares error norm, is employed to obtain the coefficients. Considering simple supported boundary conditions, an analogy between isotropic skew plates and rectangular anisotropic plates is used for solutions. The effect of fiber orientation is observed in clamped square and rectangular anisotropic plates. The results obtained by this method are compared with those obtained by other analytical methods. (C) 2006 Elsevier Ltd. All rights reserved.
机译:在本文中,多二次径向基函数用于各向异性板的动态和静态分析。多二阶径向基函数用于空间离散化,Newmark隐式方案用于时间离散化。与未知系数相比,微分方程的空间离散生成更多数量的代数方程。采用基于最小二乘误差范数的多元线性回归分析来获得系数。考虑到简单的支撑边界条件,将各向同性斜板和矩形各向异性板之间的类比用于求解。在夹持的正方形和矩形各向异性板上观察到了纤维取向的影响。将通过此方法获得的结果与通过其他分析方法获得的结果进行比较。 (C)2006 Elsevier Ltd.保留所有权利。

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