04318nam 22008895 450 991014397050332120251113190629.01-281-92068-197866119206853-540-77676-110.1007/978-3-540-77676-5(CKB)1000000000546078(EBL)3063752(SSID)ssj0000291245(PQKBManifestationID)11213759(PQKBTitleCode)TC0000291245(PQKBWorkID)10249143(PQKB)10712624(DE-He213)978-3-540-77676-5(MiAaPQ)EBC3063752(MiAaPQ)EBC6351867(PPN)132864010(EXLCZ)99100000000054607820100301d2008 u| 0engur|n|---|||||txtccrChaos in Structural Mechanics /by Jan Awrejcewicz, Vadim Anatolevich Krys'ko1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (423 p.)Understanding Complex Systems,1860-0840Description based upon print version of record.3-642-09645-X 3-540-77675-3 Includes bibliographical references and index.Theory of Non-homogeneous Shells -- Static Instability of Rectangular Plates -- Vibrations of Rectangular Shells -- Dynamic Loss of Stability of Rectangular Shells -- Stability of a Closed Cylindrical Shell Subjected to an Axially Non-symmetrical Load -- Composite Shells -- Interaction of Elastic Shells and a Moving Body -- Chaotic Vibrations of Sectoria Shells -- Scenarios of Transition from Harmonic to Chaotic Motion -- Dynamics of Closed Flexible Cylindrical Shells -- Controlling Time-Spatial Chaos of Cylindrical Shells -- Chaotic Vibrations of Flexible Rectangular Shells -- Determination of Three-layered Non-linear Uncoupled Beam Dynamics with Constraints -- Bifurcation and Chaos of Dissipative Non-linear Mechanical Systems of Multi-layer Sandwich Beams -- Nonlinear Vibrations of the Euler-Bernoulli Beam Subjected to Transversal Load and Impact Actions.This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof. The approach draws upon the well-established fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the Bubnov-Galerkin method, are thus described in detail.Understanding Complex Systems,1860-0840Multibody systemsVibrationMechanics, AppliedSystem theoryEngineering mathematicsEngineeringData processingControl theoryMathematical physicsMultibody Systems and Mechanical VibrationsComplex SystemsMathematical and Computational Engineering ApplicationsSystems Theory, ControlTheoretical, Mathematical and Computational PhysicsMultibody systems.Vibration.Mechanics, Applied.System theory.Engineering mathematics.EngineeringData processing.Control theory.Mathematical physics.Multibody Systems and Mechanical Vibrations.Complex Systems.Mathematical and Computational Engineering Applications.Systems Theory, Control.Theoretical, Mathematical and Computational Physics.624.17015118Awrejcewicz J(Jan),59397Krysʹko V. A(Vadim Anatolʹevich),1937-MiAaPQMiAaPQMiAaPQBOOK9910143970503321Chaos in structural mechanics2430773UNINA