| 关于非均匀圆柱型正交各向异性图板材料性质的研究 |
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| 引用本文： | 秦圣立,阎柯柱,胡象岭,黄家寅. 关于非均匀圆柱型正交各向异性图板材料性质的研究[J]. 应用数学和力学, 1997, 18(12): 1139-1143 |
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| 作者姓名： | 秦圣立 阎柯柱 胡象岭 黄家寅 |
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| 作者单位： | 曲阜师范大学物理系, 山东曲阜 273165 |
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| 摘 要： | 在我们已发表的一文中,根据梁的弯曲理论得到了非均匀圆柱型正交各向异性圆板的折算刚度随半径按指数变化的规律.本文的目的在于进一步证明半径对材料性质的影响.按照平面应力一应交关系,我们得到材料性质的数值Eγ,Eθ,νθγ是半径γ的函数.我们所得到的解析结果与实验结果是一致的.
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| 关 键 词： | 非均匀圆柱型圆板 正交各向异性 过渡区 核径比 指数规律 |
| 收稿时间： | 1995-07-14 |
An Investigation on Material Properties of Non-Homogeneous Cylindrically Orthotropic Circular Plates |
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| Qin Shengli, Yan Kezhu, Hu Xiangling, Huang Jiayin. An Investigation on Material Properties of Non-Homogeneous Cylindrically Orthotropic Circular Plates[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1139-1143 |
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| Authors: | Qin Shengli Yan Kezhu Hu Xiangling Huang Jiayin |
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| Affiliation: | Qufu Normal University, Qufu, Shandong 273165, P. R. China |
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| Abstract: | It has been been reported that the reduced stiffness of non-homogeneous cylindrically orthotrpic circular plate varing exponentially with radius r is obtained by using the bending theory of a simple beam.The aim of this paper is to verify the effect of radius on the materal properties. According to the flat stress-strain relation, the values of material properties Er Ea and vθr which are the functions of radius r are obtained.Compared with the experimental values, the analytical values of the material properties are in essential agreement with them. |
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| Keywords: | non-homogeneous cylindrical orthotropic circular plate transitional region core-radius ratio exponential rule |
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