## 留言板

 引用本文: 周青青. 变厚度各向导性斜形簿板的弹性平衡问题的Navier解[J]. 应用数学和力学, 1991, 12(4): 349-358.
Zhou Qing-qing. Navier Solution for the Elastic Equilibrium Problems of Anisotropic Skew Thin Plate with Variable Thickness in Nonlinear Theories[J]. Applied Mathematics and Mechanics, 1991, 12(4): 349-358.
 Citation: Zhou Qing-qing. Navier Solution for the Elastic Equilibrium Problems of Anisotropic Skew Thin Plate with Variable Thickness in Nonlinear Theories[J]. Applied Mathematics and Mechanics, 1991, 12(4): 349-358.

## Navier Solution for the Elastic Equilibrium Problems of Anisotropic Skew Thin Plate with Variable Thickness in Nonlinear Theories

• 摘要: 本文首先对变厚度各向异性斜形薄板有关非线性理论的弹性平衡问题进行了讨论,建立了变厚度各向异性斜形薄板的大挠度问题的基本方程,然后采用Navier法,给出了求解的一般途径,并以示例说明求解的具体方法,最后讨论了解的收敛性及本方法的应用范围.
•  [1] Prabhakara,M.K.and C.Y.Chia,Postbuckling of angle-ply and anisotropic plates,Ingenieur-Archiv,45(1976),131-140. [2] Prabhakara,M.K.and C.Y.Chia,Nonlinear bending of symmetrically laminated andhomogeneous anisotropic plates,Rozprawy Lnzynierskie,25(1977),559-570. [3] Kennedy,J.B.and S.Ng,Linear and nonlinear analyses of skewed plates,ASME Journal of Applied Mechanics,34(1967),271-277. [4] 叶开沅等,非均匀变厚度弹性力学的若干问题的一般解,兰州大学学报(自然科学版,力字专号),1(1979). [5] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,second edition,McGrow-Hill Book Comp.Inc.(1959). [6] 尹思明、阮圣磺,变厚度矩形薄板的线性和非线性理论的弹性平衡问题的Navicr解,应用数学和力学,6.6(1985),519-530. [7] Chia,C.Y.and M.Sathtamoorthy,Nonlinear vibration of anisotropic skew plates,Fibre Science and Technology,13(1980),81-95.
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##### 出版历程
• 收稿日期:  1985-12-18
• 刊出日期:  1991-04-15

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