## 留言板

 引用本文: 丁克伟, 唐立民. 叠层圆柱厚壳混合状态方程的弱形式及其边值问题[J]. 应用数学和力学, 1999, 20(2): 119-125.
Ding Kewei, Tang Limin. Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(2): 119-125.
 Citation: Ding Kewei, Tang Limin. Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1999, 20(2): 119-125.

## 叠层圆柱厚壳混合状态方程的弱形式及其边值问题

• 中图分类号: O343.1

## Weak Formulation of Mixed State Equation and Boundary Value Problem of Laminated Cylindrical Shell

• 摘要: 从Helinger-Reisner变分原理出发,在柱坐标系中,导出圆柱壳的弱形式混合状态方程和边界条件,联用状态空间法给出叠层柱壳的解析解,此法使得求解该类问题的形式得以扩大和统一。
•  [1] Soldators K P, Hadjigeorgiou V P. Three-dimensional solution of the free vibration problem of homogeneous isotropic cylindrical shells and panels [J]. J Sound Vibration, 1990,137(3):369～384 [2] Hawkes T D, Soldators K P. Three-dimensional axisymmetric vibrations of orthotropic and cross-ply laminated hollow cylinders [J]. AIAA J, 1992,30(4):1089～1098 [3] Kardomateas G A. Buckling of thick orthotropic cylindrical shells under external pressure[J]. ASME J Appl Mech, 1993,60(1):195～202 [4] Srinivas S, Rao A K. Bending vibration and buckling of simply supported thick orthotropic rectangular plates and laminates [J]. Internat J Solids Structures, 1970,6(12):1463～1481 [5] Fan J, Ding K. Analytical solution for thick closed laminated cylindrical shells [J].Internat J Mech Sci, 1993,35(8):657～668 [6] 丁克伟,范家让.强厚度叠层连续闭口柱壳轴对称问题的精确解[J].工程力学,1994,11(2):8～19 [7] 唐立民,弹性力学的混合方程和Hamilton正则方程[J].计算结构力学及其应用,1991,8(4):343～350

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##### 出版历程
• 刊出日期:  1999-02-15

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