Book contents
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Dedication
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Copyright page
- Contents
- Preface
- Introduction and Constitutive Equations For Linearly Elastic Materials
- 1 Classical Nonlinear Theories of Elasticity of Plates and Shells
- 2 Classical Nonlinear Theories of Doubly Curved Shells
- 3 Composite, Sandwich and Functionally Graded Materials
- 4 Nonlinear Shell Theory with Thickness Deformation
- 5 Hyperelasticity of Soft Biological and Rubber Materials
- 6 Introduction to Nonlinear Dynamics
- 7 Viscoelasticity and Damping
- 8 Vibrations of Rectangular Plates
- 9 Nonlinear Stability and Vibration of FGM Rectangular Plates under Static and Dynamic Loads
- 10 Nonlinear Static and Dynamic Response of Rectangular Plates in Rubber and Biomaterial
- 11 Vibrations of Isotropic and Laminated Composite Circular Cylindrical Shells
- 12 Effect of Boundary Conditions on Large-Amplitude Vibrations of Circular Cylindrical Shells
- 13 Nonlinear Static and Dynamic Response of a Blood-Filled and Pressurized Human Aorta
- 14 Nonlinear Vibrations and Stability of Doubly Curved Shallow Shells
- 15 Nonlinear Stability of Circular Cylindrical Shells under Static and Dynamic Axial Loads
- Index
- References
14 - Nonlinear Vibrations and Stability of Doubly Curved Shallow Shells
Isotropic and Laminated Materials
Published online by Cambridge University Press: 25 October 2018
Book contents
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Dedication
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials
- Copyright page
- Contents
- Preface
- Introduction and Constitutive Equations For Linearly Elastic Materials
- 1 Classical Nonlinear Theories of Elasticity of Plates and Shells
- 2 Classical Nonlinear Theories of Doubly Curved Shells
- 3 Composite, Sandwich and Functionally Graded Materials
- 4 Nonlinear Shell Theory with Thickness Deformation
- 5 Hyperelasticity of Soft Biological and Rubber Materials
- 6 Introduction to Nonlinear Dynamics
- 7 Viscoelasticity and Damping
- 8 Vibrations of Rectangular Plates
- 9 Nonlinear Stability and Vibration of FGM Rectangular Plates under Static and Dynamic Loads
- 10 Nonlinear Static and Dynamic Response of Rectangular Plates in Rubber and Biomaterial
- 11 Vibrations of Isotropic and Laminated Composite Circular Cylindrical Shells
- 12 Effect of Boundary Conditions on Large-Amplitude Vibrations of Circular Cylindrical Shells
- 13 Nonlinear Static and Dynamic Response of a Blood-Filled and Pressurized Human Aorta
- 14 Nonlinear Vibrations and Stability of Doubly Curved Shallow Shells
- 15 Nonlinear Stability of Circular Cylindrical Shells under Static and Dynamic Axial Loads
- Index
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Nonlinear Mechanics of Shells and Plates in Composite, Soft and Biological Materials , pp. 515 - 541Publisher: Cambridge University PressPrint publication year: 2018
References
Abe, A., Kobayashi, Y., Yamada, G. 2000 Journal of Sound and Vibration 234, 405–426. Non-linear vibration characteristics of clamped laminated shallow shells.CrossRefGoogle Scholar
Amabili, M. 2005 International Journal of Non-Linear Mechanics 40, 683–710. Non-linear vibrations of doubly curved shallow shells.CrossRefGoogle Scholar
Bhattacharya, A. P. 1976 Journal of Applied Mechanics 43, 180–181. Nonlinear flexural vibrations of thin shallow translational shells.CrossRefGoogle Scholar
Chia, C. Y. 1988 Ingenieur-Archiv 58, 252–264. Nonlinear analysis of doubly curved symmetrically laminated shallow shells with rectangular platform.CrossRefGoogle Scholar
Hui, D. 1990 Journal of Vibration and Acoustics 112, 304–311. Accurate backbone curves for a modified-Duffing equation for vibrations of imperfect structures with viscous damping.CrossRefGoogle Scholar
Kobayashi, Y., Leissa, A. W. 1995 International Journal of Non-Linear Mechanics 30, 57–66. Large amplitude free vibration of thick shallow shells supported by shear diaphragms.CrossRefGoogle Scholar
Leissa, A. W., Kadi, A. S. 1971 Journal of Sound and Vibration 16, 173–187. Curvature effects on shallow shell vibrations.CrossRefGoogle Scholar
Librescu, L., Chang, M.-Y. 1993 Acta Mechanica 96, 203–224. Effects of geometric imperfections on vibration of compressed shear deformable laminated composite curved panels.CrossRefGoogle Scholar
Nemeth, M. P., Britt, V. O., Collins, T. J., Starnes, J. H. Jr. 1996 NASA Technical Paper 3616. Nonlinear analysis of the Space Shuttle superlightweight external fuel tank.Google Scholar
Nemeth, M. P., Young, R. D., Collins, T. J., Starnes, J. H. Jr. 2002 International Journal of Non-Linear Mechanics 37, 723–744. Effects of initial imperfections on the non-linear response of the Space Shuttle superlightweight liquid-oxygen tank.CrossRefGoogle Scholar
Sinharay, G. C., Banerjee, B. 1985 International Journal of Non-Linear Mechanics 20, 69–78. Large-amplitude free vibrations of shallow spherical shell and cylindrical shell – a new approach.CrossRefGoogle Scholar
Sinharay, G. C., Banerjee, B. 1986 AIAA Journal 24, 998–1004. Large-amplitude free vibrations of shells of variable thickness – a new approach.CrossRefGoogle Scholar
Soliman, M. S., Gonçalves, P. B. 2003 Journal of Sound and Vibration 259, 497–512. Chaotic behaviour resulting in transient and steady state instabilities of pressure-loaded shallow spherical shells.CrossRefGoogle Scholar
Thomas, O., Touzé, C., Chaigne, A. 2005 International Journal of Solids and Structures 42, 3339–3373. Non-linear vibrations of free-edge thin spherical caps: modal interaction rules and 1:1:2 internal resonance.CrossRefGoogle Scholar
Touzé, C., Thomas, O. 2006 International Journal of Non-linear Mechanics 41, 678–692. Non-linear behaviour of free-edge shallow spherical shells: effect of the geometry.CrossRefGoogle Scholar