樊建平,王乘,杨文兵.复合材料层合板挠曲变形的梁函数分析[J].计算力学学报,1996,13(1): |
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复合材料层合板挠曲变形的梁函数分析 |
Analysis of deflection to laminated plate using beam eigenfunction |
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DOI:10.7511/jslx19961008 |
中文关键词: 梁函数,复合材料板,挠曲变形,耦合刚度 |
英文关键词:beam eigenfunction,laminated plate,deformation of deflection,couple stiffness, |
基金项目:国家自然科学基金!19102009 |
樊建平 王乘 杨文兵 |
华中理工大学力学系!武汉,430074 |
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中文摘要: |
本文利用克雷洛夫函数的组合,构造了一个适应于固支边界条件的梁函数。首先将它应用于均质各向同性、受任意载荷二端固主梁.由计算结果发现,该梁函数具有很高的收敛速度,仅取前两项,其结果和材料力学结论相比,其相对误差可控制在1%左右。而后将此梁函数用于求解四边固支复合材料短形板的挠曲变形。通过一系列的参数变化对最大挠度的影响分析,得到一些有益的结果,可供工程应用参考。 |
英文摘要: |
With the combination of the Krannov's function, a beam eigenfunction which satisfying clamp boundary condition is formed. It is found that the beam eigenfunction has a very high converging rate in isotropic beam. Satisfactory results can be obtained with only the first two terms in the series used in calculating the deformation of isotropic beam and the relative error can be controlled at about l percent. The beam eigenfunction is then used in laminated rect angular plate with all of its boundary clamping to calculate its deflection. A series of results which may be important in engineering are reached through the chdnge of referent data in laminated plate. |
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