周边固支缝合复合材料层板的小波配置精细积分法  

A Wavelet Collocation Precise Integration Method for Stitched Composites Lamina with Four Sides Clamped

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作  者:徐建新[1] 曹启武[1] 郭亮[1] 

机构地区:[1]中国民航大学航空工程学院,天津300300

出  处:《材料导报》2014年第20期134-139,共6页Materials Reports

基  金:中国民航大学学生科技立项资助项目(152A014672010);中央高校基本科研业务费资助项目(SY-1402)

摘  要:建立了缝合复合材料面内纤维弯曲几何描述模型,将拟Shannon小波配置法和缝合单层板的刚度矩阵应用到缝合层合板的Hamilton正则方程中,构造了缝合板平面方向离散、而厚度方向解析的Hamilton正则方程,然后用精细积分法求解。用拟Shannon尺度函数表示的近似解很适于求解固支边界问题。数值算例结果表明,小波配置精细积分法在缝合复合材料层板位移、应力分析方面,较低网格密度下即可获得较精确的结果。从而为缝合层合板静力学问题分析提供了一种方法。A curved geometrical description model of the stitched composites in-plane fabric was established, Quasi-Shannon wavelet collocation method and stiffness matrix of stitched composites were applied to the Hamiltonian canonical equations of stitched composites, to formulate Hamiltonian canonical equations that discrete in the plane and analysis along the thickness direction, and then solved by precise integration method. The approximate solution expressed by Quasi-Shannon wavelet collocation method was adapted to solve the problem of fixed boundary. The result of numerical example shows that in the displacement and stress analysis of stitched composite laminates, Quasi-Shannon wavelet collocation precise integration method can obtain a more precise result immediately when using lower net- work comparison, providing a new method for the analysis of statics problem in stitched laminates.

关 键 词:拟Shannon小波配置法 精细积分法 缝合层合板 HAMILTON正则方程 

分 类 号:TB332[一般工业技术—材料科学与工程]

 

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