Problems of nonlinear mechanics and physics of materials. ([2019])

• Record Type: Book
• Further Information: Note: Igor V. Andrianov, Arkadiy I. Manevich, Yuri V. Mikhlin, Oleg V. Gendelman, editors.
• Editors: Andrianov, Igor V; Manevich, Arkadiy I; Mikhlin, Yuri V; Gendelman, Oleg V
• Contents: Is Energy Localization Possible in the Conditions of Non-local Acoustic Vacuum?1 Introduction; 2 The Model and Equations of Motion; 3 Nonlinear Normal Modes; 4 Two-Mode Approximation; 5 Cluster Variables; 6 Phase Plane; 6.1 Analytical Description of LPT; 7 Conclusions; References; Phase Dynamics of Intrinsic Localized Modes in Two Weakly Coupled Nonlinear Chains and Correspondence Between Periodic Tunneling of Classical and Quantum Objects; 1 Introduction; 2 Model; 3 Tunneling Dynamics of Weakly Coupled ILMs; 4 Conclusions; References Non-linear Beatings as Non-stationary Synchronization of Weakly Coupled Autogenerators1 Introduction; 2 Empirical Model of Self-localization with Dissipative Coupling; 3 The Model of Non-stationary Synchronization and Its Reduction; 4 The NNM and LPT Symmetries; 5 Phase Plane Analysis and Effect of Dissipation; 6 The Role of Nonlinearity; 7 The Effect of Soft and Stiff Nonlinearities; 8 Synchronization in the Presence of Detuning; 9 Non-symmetric Case; 10 Energy Balance Approach; 11 Model with Coupling via Linear Oscillator; 12 Quantum Analogy; 13 Conclusions; Appendix: Symmetry Analysis 2.1 Proper Orthogonal Decomposition2.2 Rayleigh Quotient; 2.3 The Wavelet-Bounded Empirical Mode Decomposition; 2.4 The Proposed Method; 3 Detection of Strongly Nonlinear Modal Interactions; 4 Nonlinear System Identification of a Strongly Nonlinear Attachment; 5 Concluding Remarks; References; Non-smooth Spatial and Temporal Substitutions in Impact Dynamics; 1 Introduction; 2 Nonsmooth Coordinates and Velocities; 2.1 Systems with Delta-Pulses Included as Summands; 2.2 Distributions as Parametric Inputs; 2.3 Continualization of Impulsively Loaded Systems; 2.4 Nonsmooth Positional Coordinates
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource
• Subjects: 531; Engineering; Nonlinear mechanics; Materials -- Mechanical properties; SCIENCE / Mechanics / General; SCIENCE / Mechanics / Solids; Materials -- Mechanical properties; Nonlinear mechanics; Technology & Engineering -- Material Science; Science -- Mechanics -- General; Testing of materials; Classical mechanics; Mechanics; Mechanics, Applied; Surfaces (Physics); Science -- Mechanics -- Solids; Mechanics of solids; Electronic books
• Languages: English
• ISBNs: 9783319922348; 3319922343
• Related ISBNs: 9783319922331; 3319922335
• Notes: Note: Includes bibliographical references.; Note: Vendor-supplied metadata.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.