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	Reissner板中的夹杂和缺陷问题研究; Research on Reissner Plate With an Inclusion or Flaw
	蒋泉 ; 魏海娥 ; 周志东
	2013-11-15
关键词	弯曲问题 Reissner板 夹杂 缺陷 Faber级数 bending problem Reissner plate inclusion flaw Faber series
英文摘要	基于保角变换技术和fAbEr级数展开,研究了含任意形状夹杂或缺陷的无限大rEISSnEr板弯曲问题.将变换域中单位圆内、外解析函数分别展开成fAbEr级数,并将波动函数展开成第一类和第二类修正的n阶bESSEl函数;利用边界位移、剪力和弯矩连续性条件得到问题的高阶线性方程组.以含椭圆形夹杂和缺陷的无限大rEISSnEr板柱面弯曲为例,进一步给出了数值算例和理论分析.结果表明,对于软夹杂,板内力矩随夹杂与板厚尺寸比A/H变化非常敏感;在含硬夹杂条件下,板内力矩随夹杂尺寸变化相对不敏感.; The bending problems for the Reissner plate with arbitrarily shaped inclusion or flaw were solved with the conformal transformation method and Faber series expanding.The analytical functions were expanded with Faber series,and the wave functions were expressed by n-order first-kind and secondkind modified Bessel functions in /out the unit circle in the transform domain.The linear equations were obtained under the continuous displacement,shear force and bending moment conditions along the interface of the unit circle.The numerical examples and the theoretical analysis were presented for the Reissner plate with an elliptic inclusion or flaw under cylindrical bending.It is concluded that,the inner torques in the plate are sensitive to the ratio a/h for the soft inclusion,and insensitive for the stiff one.; 国家自然科学基金资助项目(10902055;11172252)~~
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/98409]
专题	材料学院－已发表论文
推荐引用方式 GB/T 7714	蒋泉,魏海娥,周志东. Reissner板中的夹杂和缺陷问题研究, Research on Reissner Plate With an Inclusion or Flaw[J],2013.
APA	蒋泉,魏海娥,&周志东.(2013).Reissner板中的夹杂和缺陷问题研究..
MLA	蒋泉,et al."Reissner板中的夹杂和缺陷问题研究".(2013).

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