## 留言板

 引用本文: 黄德进, 丁皓江, 陈伟球. 线性分布载荷作用下功能梯度各向异性悬臂梁的解析解[J]. 应用数学和力学, 2007, 28(7): 763-768.
HUANG De-jin, DING Hao-jiang, CHEN Wei-qiu. Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load[J]. Applied Mathematics and Mechanics, 2007, 28(7): 763-768.
 Citation: HUANG De-jin, DING Hao-jiang, CHEN Wei-qiu. Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load[J]. Applied Mathematics and Mechanics, 2007, 28(7): 763-768.

## 线性分布载荷作用下功能梯度各向异性悬臂梁的解析解

###### 作者简介:黄德进(1968- ),男,浙江宁波人,博士(联系人.E-mail:huangdejin@nbu.edu.cn);丁皓江(1934- ),男,江苏常州人,教授,博导(Tel:+86-571-87993057;Fax:+86-571-87952165;E-mail:dinghj@zju.edu.cn).
• 中图分类号: O343.1

## Analytical Solution for Functionally Graded Anisotropic Cantilever Beam Subjected to Linearly Distributed Load

• 摘要: 对功能梯度各向异性弹性悬臂梁在线性分布载荷作用下的弯曲问题进行了研究．从平面应力问题的基本方程出发，假定应力函数为梁长度方向的多项式形式，由应力函数求导给出应力，利用协调方程和边界条件可完全确定应力函数．将解析解与有限元数值方法的结果进行了对比，两者吻合良好．
•  [1] Sankar B V. An elasticity solution for functionally graded beams[J].Composites Science and Technology,2001,61(5):689-696. [2] Sankar B V,Tzeng J T.Thermal stresses in functionally graded beams[J].AIAA J,2002,40(6)：1228-1232. doi: 10.2514/2.1775 [3] Zhu H,Sankar B V. A combined Fourier-Galerkin method for the analysis of functionally graded beams[J].Journal of Applied Mechanics,2004,71(3):421-424. [4] Lekhnitskii S G.Anisotropic Plate[M].New York: Gordon and Breach, 1968. [5] Ding H J, Huang D J,Chen W Q. Elasticity solutions for plane anisotropic functionally graded beams[J].International Journal of Solids and Structures,2007,44(1):176-196.

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##### 出版历程
• 收稿日期:  2006-10-26
• 修回日期:  2007-04-24
• 刊出日期:  2007-07-15

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