A two-step perturbation method in nonlinear analysis of beams, plates, and shells [[electronic resource] /] / Hui-Shen Shen

• Record Nr.: UNINA9910139038303321
• Autore: Shen Hui-Shen
• Pubbl/distr/stampa: Singapore, : John Wiley & Sons, 2013
• ISBN: 1-118-64991-5; 1-118-64989-3; 1-118-64990-7
• Descrizione fisica: 1 online resource (369 p.)
• Collana: Information security series
• Disciplina: 624.1/82015157248
• Soggetti: Girders - Mathematical models; Shells (Engineering) - Mathematical models; Plates (Engineering) - Mathematical models; Deformations (Mechanics) - Mathematical models; Perturbation (Mathematics)
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells; Contents; 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-parameter 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-Bernoulli Beams; 2.4 Nonlinear Bending Analysis of Euler-Bernoulli Beams; 2.5 Large Amplitude Vibration Analysis of Euler-Bernoulli BeamsReferences; 3 Nonlinear Vibration Analysis of Plates; 3.1 Introduction; 3.2 Reddy's Higher Order Shear Deformation Plate Theory; 3.3 Generalized Kármán-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; References; 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 Foundations4.3 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 PlatesAppendix 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 Postbuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations; 5.5 Thermomechanical Postbuckling of Shear Deformable Laminated Plates Resting on Tensionless Elastic Foundations5.6 Postbuckling of Functionally Graded Fiber Reinforced Composite Plates under Compression; 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 Kármán-type Motion Equations; 6.3 Nonlinear Vibration of Shear Deformable Cross-ply Laminated Cylindrical Shells
• Sommario/riassunto: The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. In fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration. A two-step perturbation method is firstly proposed by Shen and Zhang (1988) for postbuckling analysis of isotropic plat