梁、板、壳结构非线性分析的二次摄动法 英文版PDF|Epub|txt|kindle电子书版本网盘下载

梁、板、壳结构非线性分析的二次摄动法 英文版PDF格式电子书版下载

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1 Traditional Perturbation Method1

1.1 Introduction1

1.2 Load-type Perturbation Method2

1.3 Deflection-type Perturbation Method3

1.4 Multi-parameter Perturbation Method4

1.5 Limitations of the Traditional Perturbation Method5

References6

2 Nonlinear Analysis of Beams9

2.1 Introduction9

2.2 Nonlinear Motion Equations of Euler-Bernoulli Beams10

2.3 Postbuckling Analysis of Euler-Bernoulli Beams13

2.4 Nonlinear Bending Analysis of Euler-Bernoulli Beams17

2.5 Large Amplitude Vibration Analysis of Euler-Bernoulli Beams21

References25

3 Nonlinear Vibration Analysis of Plates27

3.1 Introduction27

3.2 Reddy's Higher Order Shear Deformation Plate Theory29

3.3 Generalized Kármán-type Motion Equations35

3.4 Nonlinear Vibration of Functionally Graded Fiber Reinforced Composite Plates42

3.5 Hygrothermal Effects on the Nonlinear Vibration of Shear Deformable Laminated Plate63

3.6 Nonlinear Vibration of Shear Deformable Laminated Plates with PFRC Actuators69

References74

4 Nonlinear Bending Analysis of Plates79

4.1 Introduction79

4.2 Nonlinear Bending of Rectangular Plates with Free Edges under Transverse and In-plane Loads and Resting on Two-parameter Elastic Foundations80

4.3 Nonlinear Bending of Rectangular Plates with Free Edges under Transverse and Thermal Loading and Resting on Two-parameter Elastic Foundations91

4.4 Nonlinear Bending of Rectangular Plates with Free Edges Resting on Tensionless Elastic Foundations94

4.5 Nonlinear Bending of Shear Deformable Laminated Plates under Transverse and In-plane Loads97

4.6 Nonlinear Bending of Shear Deformable Laminated Plates under Transverse and Thermal Loading109

4.7 Nonlinear Bending of Functionally Graded Fiber Reinforced Composite Plates116

Appendix 4.A126

Appendix 4.B131

Appendix 4.C132

Appendix 4.D133

Appendix 4.E136

Appendix 4.F137

References141

5 Postbuckling Analysis of Plates145

5.1 Introduction145

5.2 Postbuckling of Thin Plates Resting on Tensionless Elastic Foundation147

5.3 Postbuckling of Shear Deformable Laminated Plates under Compression and Resting on Tensionless Elastic Foundations163

5.4 Thermal Postbuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations171

5.5 Thermomechanical Postbuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations178

5.6 Postbuckling of Functionally Graded Fiber Reinforced Composite Plates under Compression185

5.7 Thermal Postbuckling of Functionally Graded Fiber Reinforced Composite Plates194

5.8 Postbuckling of Shear Deformable Hybrid Laminated Plates with PFRC Actuators200

References211

6 Nonlinear Vibration Analysis of Cylindrical Shells215

6.1 Introduction215

6.2 Reddy's Higher Order Shear Deformation Shell Theory and Generalized Kármán-type Motion Equations216

6.3 Nonlinear Vibration of Shear Deformable Cross-ply Laminated Cylindrical Shells219

6.4 Nonlinear Vibration of Shear Deformable Anisotropic Cylindrical Shells233

6.5 Hygrothermal Effects on the Nonlinear Vibration of Functionally Graded Fiber Reinforced Composite Cylindrical Shells252

6.6 Nonlinear Vibration of Shear Deformable Laminated Cylindrical Shells with PFRC Actuators257

Appendix 6.G263

References269

7 Postbuckling Analysis of Cylindrical Shells273

7.1 Introduction273

7.2 Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells under Axial Compression274

7.3 Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells under External Pressure295

7.4 Thermal Postbuckling of Functionally Graded Fiber Reinforced Composite Cylindrical Shells312

7.5 Postbuckling of Axially Loaded Anisotropic Cylindrical Shells Surrounded by an Elastic Medium320

7.6 Postbuckling of Internal Pressure Loaded Anisotropic Cylindrical Shells Surrounded by an Elastic Medium325

Appendix 7.H331

Appendix 7.I339

Appendix 7.J341

References344

Index349