本書討論了二次攝動法及在梁、板、殼結構非線性分析中的應用；系統(tǒng)地總結了20世紀90年代以來在梁、板、殼結構非線性分析中所取得的最新成果；提供了一個完整的理論體系來處理新型復合材料板殼結構的非線性行為，特別是在復雜環(huán)境或復雜荷載作用下的非線性行為。涉及梁、板、殼結構的非線性彎曲、后屈曲和非線性振動各個領域。本書所介紹的二次攝動法可推廣應用于微納米尺度梁、板、殼結構的非線性分析。
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 RectanguIar 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
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