LEADER 06660nam 22008775 450 001 9910438060003321 005 20251202125936.0 010 $a1-4419-1276-2 024 7 $a10.1007/978-1-4419-1276-3 035 $a(CKB)3400000000087640 035 $a(EBL)1156113 035 $a(OCoLC)831115621 035 $a(SSID)ssj0000879387 035 $a(PQKBManifestationID)11482885 035 $a(PQKBTitleCode)TC0000879387 035 $a(PQKBWorkID)10853140 035 $a(PQKB)10691005 035 $a(DE-He213)978-1-4419-1276-3 035 $a(MiAaPQ)EBC1156113 035 $a(PPN)168290952 035 $a(EXLCZ)993400000000087640 100 $a20130109d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNonlinear Structural Mechanics $eTheory, Dynamical Phenomena and Modeling /$fby Walter Lacarbonara 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2013. 215 $a1 online resource (812 p.) 300 $aDescription based upon print version of record. 311 08$a1-4419-1275-4 320 $aIncludes bibliographical references and index. 327 $aNonlinear Structural Mechanics; Preface; Contents; Chapter1 Concepts, Methods, and Paradigms; 1.1 Introduction; 1.2 Static Analysis: Geometric and Material Nonlinearities; 1.3 Path-Following Methods; 1.3.1 Step-by-Step Analysis: Sequential Path-Following; 1.3.2 Pseudo-Arclength Path-Following Techniques; 1.4 Dynamic Analysis: Periodic Motions; 1.4.1 State-Space Formulation; 1.5 Path-Following Based on the Poincare? Map; 1.6 Examples of Path-Following of Equilibrium States; 1.6.1 The von Mises Truss Structure; 1.6.2 Equilibrium Paths of MicroelectromechanicalSystems 327 $a1.6.2.1 Continuous Microelectromechanical Structures1.7 Examples of Path-Following of Limit Cycles and Periodic Solutions; 1.7.1 Nonlinearly Viscoelastic Structures Subject to Harmonic Excitations; 1.7.2 Shape-Memory Oscillators Under HarmonicExcitations; 1.7.2.1 Shape-Memory Thermomechanical Oscillators; 1.7.3 Flutter Control of an Airfoil; Problems; Chapter2 Stability and Bifurcation of Structures; 2.1 Stability of Motion; 2.2 Stability of Equilibrium States; 2.2.1 Static and Dynamic Bifurcations of EquilibriumStates; 2.2.2 Local Bifurcations of Equilibrium States 327 $a2.2.2.1 Static Bifurcations2.3 Stability of Limit Cycles and Periodic Solutions; 2.4 Stability of Conservative and Nonconservative Systemsand Structures; 2.5 Static Bifurcations of Conservative Structures; 2.5.1 Example of Supercritical Pitchfork Bifurcation; 2.5.2 Example of Subcritical Pitchfork Bifurcation; 2.5.3 Example of Transcritical Bifurcation; 2.5.4 Example of Fold Bifurcation and the Snap-ThroughPhenomenon; 2.6 The Buckling Problem; 2.7 Dynamic Bifurcations: Flutter of Lifting Airfoils; 2.8 Flutter of Wings: Reduced-Order Models 327 $a2.9 Dynamic Instabilities Due to Parametric Resonances2.10 Parametric Resonances of Conservative Systems with LinearDamping; 2.10.1 Multi-pendulum Systems and the AutoparametricTransfer of Energy; 2.10.2 Parametric Resonance of Spherical and CylindricalShells Under Pulsating Pressures; Problems; Chapter3 The Elastic Cable: From Formulation to Computation; 3.1 Introduction; 3.2 The Simplest One-Dimensional String/Cable Model; 3.2.1 The Prestressed Equilibrium; 3.2.1.1 Shallow Versus Nonshallow States: Parabola Versus Catenary; 3.2.1.2 Inclined Cables 327 $a3.2.2 The Incremental Problem: Total Versus UpdatedLagrangian Formulation3.2.3 Kinematics of the Incremental Problem; 3.2.4 Equations of Motion; 3.2.5 Weak Form of the Equations of Motion; 3.2.6 Linearization about the Prestressed Equilibrium; 3.3 Static Analysis: First-Order Sequential Continuation in Force Control; 3.3.1 The Galerkin Method for the Incremental Problem; 3.4 The Tethered Satellite System: A Space Application for Super-Long Strings; Problems; Chapter4 Nonlinear Mechanics of Three-Dimensional Solids; 4.1 Elements of the Theory of Deformation; 4.2 Elements of the Stress Theory 327 $a4.3 The Cauchy Equations of Motion 330 $aNonlinear Structural Mechanics: Theory, Dynamical Phenomena and Modeling offers a concise, coherent presentation of the theoretical framework of nonlinear structural mechanics, computational methods, applications, parametric investigations of nonlinear phenomena and their mechanical interpretation towards design. The theoretical and computational tools that enable the formulation, solution, and interpretation of nonlinear structures are presented in a systematic fashion so as to gradually attain an increasing level of complexity of structural behaviors, under the prevailing assumptions on the geometry of deformation, the constitutive aspects and the loading scenarios. Readers will find a treatment of the foundations of nonlinear structural mechanics towards advanced reduced models, unified with modern computational tools in the framework of the prominent nonlinear structural dynamic phenomena while tackling both the mathematical and applied sciences. Nonlinear Structural Mechanics: Theory, Dynamical Phenomena and Modeling is an excellent reference for engineers of various disciplines, students, and researchers involved with nonlinear structural mechanics and dynamics. 606 $aMechanics, Applied 606 $aSolids 606 $aSystem theory 606 $aCivil engineering 606 $aComputational intelligence 606 $aMathematics$xData processing 606 $aMathematical physics 606 $aSolid Mechanics 606 $aComplex Systems 606 $aCivil Engineering 606 $aComputational Intelligence 606 $aComputational Science and Engineering 606 $aTheoretical, Mathematical and Computational Physics 615 0$aMechanics, Applied. 615 0$aSolids. 615 0$aSystem theory. 615 0$aCivil engineering. 615 0$aComputational intelligence. 615 0$aMathematics$xData processing. 615 0$aMathematical physics. 615 14$aSolid Mechanics. 615 24$aComplex Systems. 615 24$aCivil Engineering. 615 24$aComputational Intelligence. 615 24$aComputational Science and Engineering. 615 24$aTheoretical, Mathematical and Computational Physics. 676 $a624.171 700 $aLacarbonara$b Walter$01060455 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438060003321 996 $aNonlinear Structural Mechanics$92513619 997 $aUNINA