Applied Mathematics and Mechanics

, Volume 3, Issue 1, pp 49–65 | Cite as

The finite deflection equations of anisotropic laminated shallow shells

  • Wang Zhen-ming
  • Liu Guo-xi
  • Lu Ming-shen


In this paper, basing on ref. [1] we improved and extended that which is concerned with a view of investigating the finite deflection equations of anisotropic laminated shallow shells subjected to static loads, dynamic loads and thermal loads. We have considered the most general bending-stretching couplings and the shear deformations in the thickness direction, and derived the equilibrium equations, boundary conditions and initial conditions. The differential equations expressed in terms of generalized displacements u0, ν0 and ω are obtained. From them, we could solve the problems of stress analysis, deformation, stability and vibration. For some commonly encountered cases, we derived the simplified equations and methods.


Boundary Condition Differential Equation Mathematical Modeling Static Load Industrial Mathematic 
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Copyright information

© Techmodern Business Promotion 1982

Authors and Affiliations

  • Wang Zhen-ming
    • 1
  • Liu Guo-xi
    • 1
  • Lu Ming-shen
    • 1
  1. 1.Institute of MechanicsAcademia SinicaChina

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