[内容简介]

《梁板壳结构非线性分析的二次摄动法(英文版)(精)》(作者沈惠申)讨论了二次摄动法及其在梁、板、壳结构非线性分析中的应用；系统地总结了20世纪90年代以来在梁、板、壳结构非线性分析中所取得的最新成果；提供了一个完整的理论体系来处理新型复合材料板壳结构的非线性行为，特别是在复杂环境或复杂荷载作用下的非线性行为。涉及梁、板、壳结构的非线性弯曲、后屈曲和非线性振动等领域。《梁板壳结构非线性分析的二次摄动法(英文版)(精)》所介绍的二次摄动法可推广应用于微纳米尺度梁、板、壳结构的非线性分析。本书可供结构设计人员和梁、板、壳结构非线性行为研究的学者及高等院校的研究生参考。

[目录]

About the Author
Preface
List of Symbols
1 Traditional PerturbationMethod
  1.1 Introduction
  1.2 Load-type Perturbation Method
  1.3Deflection-type Perturbation Method
  1.4 Multi-parametarPerturbation Method 
  1.5 Limitations of the Traditional PerturbationMethod References
2 Nonlinear Analysis of Beams
  2.1 Introduction
  2.2 Nonlinear Motion Equations of Euler-Bernoulli Beams 
  2.3Postbuckling Analysis of Euler-Bemoulli Beams
  2.4 Nonlinear BendingAnalysis of Euler-Bernoulli Beams
  2.5 Large Amplitude VibrationAnalysis of Euler-Bernoulli Beams References
3 Nonlinear VibrationAnalysis of Plates
  3.1 Introduction
  3.2 Reddy's Higher Order ShearDeformation Plate Theory
  3.3 Generalized Kfirmin-type MotionEquations
  3.4 Nonlinear Vibration of Functionally Graded FiberReinforced Composite Plates
  3.5 Hygrothermal Effects on theNonlinear Vibration of Shear Deformable Laminated Plate
  3.6Nonlinear Vibration of Shear Deformable Laminated Plates with PFRCActuators Reterences
4 Nonlinear Bending Analysis of Plates
  4.1Introduction
  4.2 Nonlinear Bending of Rectangular Plates with FreeEdges under Transverse and In-plane Loads and Resting onTwo-parameter Elastic Foundations
  4.3 Nonlinear Bending ofRectanguIar Plates with Free Edges under Transverse and ThermalLoading and Resting on Two-parameter Elastic Foundations
  4.4Nonlinear Bending of Rectangular Plates with Free Edges Resting onTensionless Elastic Foundations
  4.5 Nonlinear Bending of ShearDeformable Laminated Plates under Transverse and In-plane Loads 
  4.6Nonlinear Bending of Shear Deformable Laminated Plates underTransverse and Thermal Loading
  4.7 Nonlinear Bending ofFunctionally 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 ElasticFoundation
  5.3 Postbuckling of Shear Deformable Laminated Platesunder Compression and Resting on Tensionless Elastic Foundations
  5.4 Thermal Posthuckling of Shear Deformable Laminated PlatesResting on Tensionless Elastic Foundations 
  5.5 ThermomechanicalPostbuckling of Shear Deformable Laminated Plates Resting onTensionless Elastic Foundations
  5.6 Postbuckling of FunctionallyGraded Fiber Reinforced Composite Plates under Cmnpression
  5.7Thermal Postbuckling of Functionally Graded Fiber ReinforcedComposite Plates
  5.8 Postbuckling of Shear Deformable HybridLaminated Plates with PFRC Actuators
  References
6 NonlinearVibration Analysis of Cylindrical Shells
  6.1 Introduction
  6.2Reddy's Higher Order Shear Deformation Shell Theory and GeneralizedKfirmn-type Motion Equations
  6.3 Nonlinear Vibration of ShearDeformable Cross-ply Laminated Cylindrical Shells
  6.4 NonlinearVibration of Shear Deformable Anisotropic Cylindrical Shells
  6.5 Hygrothermal Effects on the Nonlinear Vibration of FunctionallyGraded Fiber Reinforced Composite Cylindrical Shells
  6.6 NonlinearVibration of Shear Deformable Laminated Cylindrical Shells withPFRC Actuators
  Appendix 6.G
  References
7 Postbuckling Analysis ofCylindrical Shells
  7.1 Introduction
  7.2 Postbuckling ofFunctionally Graded Fiber Reinforced Composite Cylindrical Shellsunder Axial Compression
  7.3 Postbuckling of Functionally GradedFiber Reinforced Composite Cylindrical Shells under ExternalPressure
  7.4 Thermal Postbuckling of Functionally Graded FiberReinforced Composite Cylindrical Shells
  7.5 Postbuckling of AxiallyLoaded Anisotropic Cylindrical Shells Surrounded by an ElasticMedium
  7.6 Postbuckling of Internal Pressure Loaded AnisotropicCylindrical Shells Surrounded by an Elastic Medium
  Appendix 7.H
  Appendix 7.I
  Appendix 7.J
  References
Index