| 引用本文: | 黄炎,廖瑛,邱忠升.任意载荷作用下各向异性矩形薄板的弯曲解.[J].国防科技大学学报,2002,24(1):30-33.[点击复制] |
| HUANG Yan,LIAO Ying,QIU Zhongsheng.The Bending Solution of Anisotropic Thin Plate Acted with Arbitrary Loading[J].Journal of National University of Defense Technology,2002,24(1):30-33[点击复制] |
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| 任意载荷作用下各向异性矩形薄板的弯曲解 |
| 黄炎, 廖瑛, 邱忠升 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 常用的复合材料板多为各向异性板。为求解这种板的弯曲问题，利用复数形式的三角级数解和双正弦级数解来建立各异向性矩形薄板弯曲问题微分方程的一般解，可以求解任意载荷作用下各种边界的弯曲问题。以四边固支的正方形板为例进行了数值计算，其结果与文献比较是一致的。这种一般解析解法理论简单全面，便于实际应用。 |
| 关键词: 各向异性板 弯曲 载荷 边界条件 |
| DOI： |
| 投稿日期：2001-06-10 |
| 基金项目: |
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| The Bending Solution of Anisotropic Thin Plate Acted with Arbitrary Loading |
| HUANG Yan, LIAO Ying, QIU Zhongsheng |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073,China)
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| Abstract: |
| Composite material plate usually is anisotropic plate, To solve the bending problem for plate, trigonometric series solution in complex number form and double sine series solution are used to establish a general solution of differential equation for anisotropic thin plates in bending problem. It can be used to solve bending problem for arbitrary loading with whatever boundaries. As an example a square plate with four edges fixed has been calculated. The result agrees with that in literature. This common analytical method is simple and complete, and easy to use in practice. |
| Keywords: anisotropic plate bending loading boundary |
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