A theory of latticed plates and shells

• Main Author: Pshenichnov, G. I.
• Format: eBook
• Language: English
• Published: Singapore ; River Edge, NJ : World Scientific, c1993.
• Series: Series on advances in mathematics for applied sciences ; v. 5.
• Subjects: Elastic plates and shells.; elektronické knihy; electronic books
• ISBN: 9781615838707; 9789812797100; 9789810210496
• Physical Description: 1 online zdroj (xi, 309 p.) : ill.

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...

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.