A Two-Step Perturbation Method in Nonlinear Analysis of Beams,Plates and Shells

About the Author
Preface
List of Symbols
1 Traditional Perturbation Method
1.1 Introduction
1.2 Load—type Perturbation Method
1.3 Deflection—type Perturbation Method
1.4 Multi—parametar Perturbation Method
1.5 Limitations of the Traditional Perturbation Method
References
2 Nonlinear Analysis of Beams
2.1 Introduction
2.2 Nonlinear Motion Equations of Euler—Bernoulli Beams
2.3 Postbuckling Analysis of Euler—Bemoulli Beams
2.4 Nonlinear Bending Analysis of Euler—Bernoulli Beams
2.5 Large Amplitude Vibration Analysis of Euler—Bernoulli Beams
References
3 Nonlinear Vibration Analysis of Plates
3.1 Introduction
3.2 Reddy's Higher Order Shear Deformation Plate Theory
3.3 Generalized Kfirmin—type Motion Equations
3.4 Nonlinear Vibration of Functionally Graded Fiber Reinforced Composite Plates
3.5 Hygrothermal Effects on the Nonlinear Vibration of Shear Deformable Laminated Plate
3.6 Nonlinear Vibration of Shear Deformable Laminated Plates with PFRC Actuators
Reterences
4 Nonlinear Bending Analysis of Plates
4.1 Introduction
4.2 Nonlinear Bending of Rectangular Plates with Free Edges under Transverse and In—plane Loads and Resting on Two—parameter Elastic Foundations
4.3 Nonlinear Bending of Rectangular Plates with Free Edges under Transverse and Thermal Loading and Resting on Two—parameter Elastic Foundations
4.4 Nonlinear Bending of Rectangular Plates with Free Edges Resting on Tensionless Elastic Foundations
4.5 Nonlinear Bending of Shear Deformable Laminated Plates under Transverse and In—plane Loads
4.6 Nonlinear Bending of Shear Deformable Laminated Plates under Transverse and Thermal Loading
4.7 Nonlinear Bending of Functionally Graded Fiber Reinforced Composite Plates
Appendix 4.A
Appendix 4.B
Appendix 4.C
Appendix 4.D
Appendix 4.E
Appendix 4.F
References
5 Postbuckling Analysis of Plates
5.1 Introduction
5.2 Postbuckling of Thin Plates Resting on Tensionless Elastic Foundation
5.3 Postbuckling of Shear Deformable Laminated Plates under Compression and Resting on Tensionless Elastic Foundations
5.4 Thermal Posthuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations
5.5 Thermomechanical Postbuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations
5.6 Postbuckling of Functionally Graded Fiber Reinforced Composite Plates under Cmnpression
5.7 Thermal Postbuckling of Functionally Graded Fiber Reinforced Composite Plates
5.8 Postbuckling of Shear Deformable Hybrid Laminated Plates with PFRC Actuators
References
6 Nonlinear Vibration Analysis of Cylindrical Shells
6.1 Introduction
6.2 Reddy's Higher Order Shear Deformation Shell Theory and Generalized Kfirmn—type Motion Equations
6.3 Nonlinear Vibration of Shear Deformable Cross—ply Laminated Cylindrical Shells
6.4 Nonlinear Vibration of Shear Deformable Anisotropic Cylindrical Shells
6.5 Hygrothermal Effects on the Nonlinear Vibration of Functionally Graded Fiber Reinforced Composite Cylindrical Shells
6.6 Nonlinear Vibration of Shear Deformable Laminated Cylindrical Shells with PFRC Actuators
Appendix 6.G
References
7 Postbuckling Analysis of Cylindrical Shells
7.1 Introduction
7.2 Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells under Axial Compression
7.3 Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells under External Pressure
7.4 Thermal Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells
7.5 Postbuckling of Axially Loaded Anisotropic Cylindrical Shells Surrounded by an Elastic Medium
7.6 Postbuckling of Internal Pressure Loaded Anisotropic Cylindrical Shells Surrounded by an Elastic Medium
Appendix 7.H
Appendix 7.I
Appendix 7.J
References
Index