LEADER 05787nam 2200745Ia 450 001 9910819907903321 005 20240314021840.0 010 $a1-118-64991-5 010 $a1-118-64989-3 010 $a1-118-64990-7 035 $a(CKB)2550000001106873 035 $a(EBL)1323956 035 $a(OCoLC)854977099 035 $a(SSID)ssj0000950912 035 $a(PQKBManifestationID)11522093 035 $a(PQKBTitleCode)TC0000950912 035 $a(PQKBWorkID)10881212 035 $a(PQKB)10956212 035 $a(MiAaPQ)EBC1323956 035 $a(DLC) 2013020411 035 $a(Au-PeEL)EBL1323956 035 $a(CaPaEBR)ebr10738694 035 $a(CaONFJC)MIL507243 035 $a(EXLCZ)992550000001106873 100 $a20130517d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA two-step perturbation method in nonlinear analysis of beams, plates, and shells /$fHui-Shen Shen 205 $a1st ed. 210 $aSingapore $cJohn Wiley & Sons$d2013 215 $a1 online resource (369 p.) 225 0 $aInformation security series 300 $aDescription based upon print version of record. 311 $a1-118-64988-5 311 $a1-299-75992-0 320 $aIncludes bibliographical references and index. 327 $aA 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 327 $a2.5 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 Ka?rma?n-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 327 $a4.2 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 327 $a4.7 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 327 $a5.5 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 Ka?rma?n-type Motion Equations 327 $a6.3 Nonlinear Vibration of Shear Deformable Cross-ply Laminated Cylindrical Shells 330 $a 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 606 $aGirders$xMathematical models 606 $aShells (Engineering)$xMathematical models 606 $aPlates (Engineering)$xMathematical models 606 $aDeformations (Mechanics)$xMathematical models 606 $aPerturbation (Mathematics) 615 0$aGirders$xMathematical models. 615 0$aShells (Engineering)$xMathematical models. 615 0$aPlates (Engineering)$xMathematical models. 615 0$aDeformations (Mechanics)$xMathematical models. 615 0$aPerturbation (Mathematics) 676 $a624.1/82015157248 700 $aShen$b Hui-Shen$01706500 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819907903321 996 $aA two-step perturbation method in nonlinear analysis of beams, plates, and shells$94093955 997 $aUNINA