Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Introduction
- 2 Generalised Hooke's law for an element of a shell
- 3 Cylindrical shells under symmetric loading
- 4 Purely ‘equilibrium’ solutions for shells: the membrane hypothesis
- 5 The geometry of curved surfaces
- 6 Geometry of distortion of curved surfaces
- 7 Displacements of elastic shells stressed according to the membrane hypothesis
- 8 Stretching and bending in cylindrical and nearly-cylindrical shells
- 9 Problems in the behaviour of cylindrical and nearly-cylindrical shells subjected to non-symmetric loading
- 10 Cylindrical shell roofs
- 11 Bending stresses in symmetrically-loaded shells of revolution
- 12 Flexibility of axisymmetric bellows under axial loading
- 13 Curved tubes and pipe-bends
- 14 Buckling of shells: classical analysis
- 15 Buckling of shells: non-classical analysis
- 16 The Brazier effect in the buckling of bent tubes
- 17 Vibration of cylindrical shells
- 18 Shell structures and the theory of plasticity
- Appendices
- 1 Theorems of structural mechanics
- 2 ‘Corresponding’ load and deflection variables
- 3 Rayleigh's principle
- 4 Orthogonal functions
- 5 Force-like and stress-like loads
- 6 The ‘static-geometric analogy’
- 7 The area of a spherical polygon
- 8 The ‘sagitta’ of an arc
- 9 Rigidity of polyhedral frames
- 10 Fourier series
- 11 Suggestions for further reading
- Answers to selected problems
- References
- Index
10 - Fourier series
Published online by Cambridge University Press: 02 February 2010
Book contents
- Frontmatter
- Contents
- Preface
- List of symbols
- 1 Introduction
- 2 Generalised Hooke's law for an element of a shell
- 3 Cylindrical shells under symmetric loading
- 4 Purely ‘equilibrium’ solutions for shells: the membrane hypothesis
- 5 The geometry of curved surfaces
- 6 Geometry of distortion of curved surfaces
- 7 Displacements of elastic shells stressed according to the membrane hypothesis
- 8 Stretching and bending in cylindrical and nearly-cylindrical shells
- 9 Problems in the behaviour of cylindrical and nearly-cylindrical shells subjected to non-symmetric loading
- 10 Cylindrical shell roofs
- 11 Bending stresses in symmetrically-loaded shells of revolution
- 12 Flexibility of axisymmetric bellows under axial loading
- 13 Curved tubes and pipe-bends
- 14 Buckling of shells: classical analysis
- 15 Buckling of shells: non-classical analysis
- 16 The Brazier effect in the buckling of bent tubes
- 17 Vibration of cylindrical shells
- 18 Shell structures and the theory of plasticity
- Appendices
- 1 Theorems of structural mechanics
- 2 ‘Corresponding’ load and deflection variables
- 3 Rayleigh's principle
- 4 Orthogonal functions
- 5 Force-like and stress-like loads
- 6 The ‘static-geometric analogy’
- 7 The area of a spherical polygon
- 8 The ‘sagitta’ of an arc
- 9 Rigidity of polyhedral frames
- 10 Fourier series
- 11 Suggestions for further reading
- Answers to selected problems
- References
- Index
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- Theory of Shell Structures , pp. 741 - 742Publisher: Cambridge University PressPrint publication year: 1983