A theory of latticed plates and shells

The book presents the theory of latticed shells as continual systems and describes its applications. It analyses the problems of statics, stability and dynamics. Generally, a classical rod deformation theory is applied. However, in some instances, more precise theories which particularly consider ge...

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Bibliographic Details
Main Author Pshenichnov, G. I.
Format Electronic eBook
LanguageEnglish
Published Singapore ; River Edge, NJ : World Scientific, ©1993.
SeriesSeries on advances in mathematics for applied sciences ; v. 5.
Subjects
Elastic plates and shells.
elektronické knihy
electronic books
Online AccessFull text
ISBN9781615838707
1615838708
9789812797100
9812797106
9810210493
9789810210496
Physical Description1 online resource (xi, 309 pages) : illustrations.

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Table of Contents:
  • 1. Reticulated shell theory: equations. 1.1. Anisotropic shell theory: basic equations
  • 1.2. Constitutive equations in the reticulated shell theory
  • 1.3. More precise constitutive equations in the reticulated shell theory
  • 2. Decomposition method. 2.1. Solution of equations and boundary value problems by the decomposition method
  • 2.2. Application of the decomposition method for particular problems
  • 3. Statics. 3.1. Plane problem
  • 3.2. Bending of plates
  • 3.3. Shallow shells
  • 3.4. Small parameter method in the shallow shell theory
  • 3.5. Circular cylindrical shells
  • 3.6. Optimum design of a shell with an orthogonal lattice
  • 3.7. Shells of rotation
  • 3.8. Momentless theory
  • 3.9. Simple edge effect in the reticulated shell theory
  • 3.10. A new method for solving nonlinear problems
  • 4. Stability. 4.1. Stability of plates
  • 4.2. Stability of cylindrical shells and shells of rotation
  • 5. Vibration. 5.1. Free and parametric vibrations of plates
  • 5.2. Free and forced vibrations of shallow shells
  • 5.3. Free vibrations of closed cylindrical shells
  • 5.4. Vibrations of shells of rotation
  • 6. Multilayer systems. 6.1. Structural coatings
  • 6.2 Ribbed and multilayer reticulated shells and plates.

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