## 留言板

 引用本文: 盛宏玉, 范家让. 集中载荷作用下层合厚圆板的轴对称弯曲[J]. 应用数学和力学, 2000, (1): 87-93.
Sheng Hongyu, Fan Jiarang. Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load[J]. Applied Mathematics and Mechanics, 2000, (1): 87-93.
 Citation: Sheng Hongyu, Fan Jiarang. Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load[J]. Applied Mathematics and Mechanics, 2000, (1): 87-93.

## 集中载荷作用下层合厚圆板的轴对称弯曲

###### 作者简介:盛宏玉(1957~ ),硕士,副教授,研究方向:计算力学.发表论文20余篇.
• 中图分类号: O343.8

## Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load

• 摘要: 从三维弹性力学基本方程出发,建立了横观各向同性层合圆板轴对称弯曲问题的状态方程,并将板面的集中载荷展成付里叶贝塞尔级数,从而给出问题的解析解.此解满足弹性力学全部方程,计及了所有独立的弹性常数,并满足层间连续性条件.
•  [1] Timoshenko S,Woinowsky-Krieger S.Theory of Plates and Shells[M].Second edition,NewYork:Mc Graw-Hill Book Company,Inc,1959. [2] Reissner E.The effect of transverse shear deformation on the bending of elastic plates[J].JApplMech,1945,12(1):69～77. [3] Reddy JN.Asimple higher-ordertheory forlaminated composite plates[J].JAppl Mech,1984,51(4):745～752. [4] Yeh Kaiyuan,Zhang Xiaojing,Zhou Youhe.An analytical formula of the exact solution to VonKarman's equations of a circular plate under a concentrated load[J].IntJNon-Linear Mech,1989,24(6):551～560. [5] Nath Y.Large amplitude response of circular plates on elastic foundations[J].Int J Non-LinearMech,1982,17(4):285～296. [6] Prathap G,Varadan T K.Axisym metric vibrations of polar or thotropic circular plates[J].AIAA J,1976,14(11):1639～1646. [7] Reddy JN,Huang CL,Singh IR.Large deflections and large amplitude vibrations of axisym metriccircular plates[J].Int J Numer Methods Engrg,1981,17(4):527～541. [8] 范家让.强厚度叠层板壳的精确理论[M].北京:科学出版社,1996. [9] 盛宏玉,范家让.非平面应变状态下的叠层厚壁筒[J].应用力学学报,1997,14(2):64~71.

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##### 出版历程
• 收稿日期:  1998-06-02
• 修回日期:  1999-08-16
• 刊出日期:  2000-01-15

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