| 周边转动弹性约束圆柱型正交各向异性圆板的后屈曲分析 |
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| 引用本文： | 郝际平,邱力.周边转动弹性约束圆柱型正交各向异性圆板的后屈曲分析[J].上海力学,1994,15(1):81-87. |
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| 作者姓名： | 郝际平 邱力 |
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| 作者单位： | 西安冶金建筑学院
(郝际平)，石家庄车辆工厂(邱力) |
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| 摘 要： | 本文基于Ｖｏｎ－Ｋａｒｍａｎ型大挠度方程组，用Ｇａｒｌｅｒｋｉｎ技术对周边转动弹性约束圆柱型正交各向异性圆板的后屈曲进行了分析，分析中以Ｌｅｇｅｎｄｒｅ多项式构成试函数，计算结果表明：以正交Ｌｅｇｅｎｄｒｅ多项式为试函数，收敛快，精度高，与有限元法相比具有方法简单，工作量小，精度高等优点。有关结构可供设计圆板时参考。
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| 关 键 词： | 弹性约束 板屈曲 圆板 材料力学 |
GALERKIN TECHNIQUE TO SOLVE THE POST-BUCKLING OF ORTHOTROPIC CYLINDRICALLY CIRCULAR PLATES WITH EDGE ELASTICALLY RESTRAINED AGAINST ROTATION |
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| Hao Jiping Qiu Li.GALERKIN TECHNIQUE TO SOLVE THE POST-BUCKLING OF ORTHOTROPIC CYLINDRICALLY CIRCULAR PLATES WITH EDGE ELASTICALLY RESTRAINED AGAINST ROTATION[J].Chinese Quarterly Mechanics,1994,15(1):81-87. |
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| Authors: | Hao Jiping Qiu Li |
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| Institution: | Hao Jiping Qiu Li
(Xi'an Inst. of Metallurgy & Construction Eng.) (Sliijiazhuang Vehicle Factory) |
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| Abstract: | In this paper, the post-buckling analysis of orthotropic cylindrically circular plates with edges elastically restrained against rotation is presented. The Galcrkin technique is used with Legendre's multinomial expansion as a trial function. The governing equation is the Von-Karman type equation for large deflection plates. Numerical results arc compared with those obtained by the FEM. Results show thai this method is with high precision and converges fast. And it also show that the amount of computational work of this method is much less than that of the FEM. And some of the results may be very useful in the design of such kind circular plates in applications. |
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| Keywords: | Elastically restrained Cylindrically ortholropic Circular plates Postbuckling |
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