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

Zhou Qing-qing

Volume 12 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 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.

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

Zhou Qing-qing

Anhui University, Hefei

Received Date: 1985-12-18
Publish Date: 1991-04-15

Abstract

Abstract

This paper discusses the elastic equilibrium problems of anisotropic skew thin plate of variable thickness simply supported on all four sides in nonlinear theories,and uses the Navier method to seek an approach to the problem,and to illustrate the solution with the examples.In conclusion,the mention is made of the scope of application and the convergency of the solution.
- variable thickness,
- anisotropic,
- skew thin plate,
- Navier solution

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References(7)

References

[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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