## 留言板

 引用本文: 范业立, 林芳勇. 层合板一个新的高阶理论解析解[J]. 应用数学和力学, 1998, 19(8): 741-752.
Fan Yeli, Lin Fangyong. An Analytical Solution of Rectangular Laminated Plates by Higher-Order Theory[J]. Applied Mathematics and Mechanics, 1998, 19(8): 741-752.
 Citation: Fan Yeli, Lin Fangyong. An Analytical Solution of Rectangular Laminated Plates by Higher-Order Theory[J]. Applied Mathematics and Mechanics, 1998, 19(8): 741-752.

## 层合板一个新的高阶理论解析解

• 中图分类号: O175.11

## An Analytical Solution of Rectangular Laminated Plates by Higher-Order Theory

• 摘要: 本文以复合材料的Reddy高阶理论为基础,引进一个位移函数Φ,将原来求解的微分方程组转化为一个高阶微分方程,得到了四边简支情况下的Navier型解,和一对边简支另一对边任意情况下的Levy型解.文中列举了算例进行比较,其数值结果和文献上已有结果相吻合,表明本文采用的解法是可靠的.Reddy高阶理论未知数不多,但精度比一阶剪切变形理论要好,计算时无需用剪切修正系数,计算较为简单.
•  [1] J.M.Whitney and A.W.Leissa,Analysis of heterogoneous anisotropic plates,J.Appl.Mech.,36(2)(1969),261-266. [2] J.M.Whitney and N.J.Pagano,Shear deformation in heterogeneous anisotropic plates,J.Appl.Mech.,37(4)(1970),1031-1036. [3] N.J.Pagano,Exact solut ions for rectangular bidirectional and sandwich plates,Journal of Composite Materia l,4(4)(1970),20-34. [4] J.N.Reddy,A.A.Khdeir and L.Librescu,The Levy type solutions for symmetric rectangular composite plates using the first-order shear deformation theory,J.Appl.Mech.,54(3)(1987),740-742. [5] A.A.Khdeir,J.N.Reddy and L.L ibrescu,Analysical solution of refined deformation theory for rectangular composite plates,Internat.J.Solids Structures,23(10)(1987),1447-1463. [6] Ye Kaiyuan and Deng L iangbo,Free vibration of composite laminated plates clamped at four edges,Chinese Science Bulletin,34(1)(1989),25-30. [7] 夏传友、闻立洲,各种边界条件对称正交复合材料层板自由振动的解析解,复合材料学报,8(4)(1991),88-99. [8] J.N.Reddy,A simple higher-order theory for laminated composite plates,J.Appl.Mech.,51(4)(1984),745-752.

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##### 出版历程
• 收稿日期:  1997-02-24
• 刊出日期:  1998-08-15

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