Dynamic stability and bifurcation in nonconservative mechanics. ([2018])
- Record Type:
- Book
- Title:
- Dynamic stability and bifurcation in nonconservative mechanics. ([2018])
- Main Title:
- Dynamic stability and bifurcation in nonconservative mechanics
- Further Information:
- Note: Davide Bigoni, Oleg Kirillov, editors.
- Editors:
- Bigoni, Davide, 1959-
Kirillov, Oleg N, 1972- - Contents:
- Intro; Preface; Contents; Flutter from Friction in Solids and Structures; 1 Introduction; 2 Flutter for Structural Systems; 2.1 The Ziegler Double Pendulum; 2.2 The Standard Case as a Reference: The Dead Load H on the Double Pendulum; 2.3 The Follower Force P on the Double Pendulum; 2.4 Surprising Effects Related to the Viscosity: The Ziegler Paradox; 2.5 The Deformation of an Elastic Rod: The Euler's Elastica; 2.6 Constitutive Equation and Dynamics; 2.7 The Beck and Pflüger Rods; 2.8 Self-adjointness, an Exclusion Condition for Flutter 2.9 Beyond the Linearized Solution: Limit Cycle Behaviour2.10 Follower Forces from Coulomb Friction; 2.11 Self-oscillating Systems; 3 Flutter in Frictional Solids; 3.1 Contact with Coulomb Friction Versus Nonassociative Elastoplasticity; 3.2 The Rate Equations of Nonassociative Elastoplasticity for Frictional Solids; 3.3 The Propagation of Incremental Plane Waves; 3.4 Strain Localization into Planar Bands; 3.5 The Analysis of the Acoustic Tensor and Flutter Instability; 4 Concluding Remarks on Flutter Instability in Structures and Solids; References Dissipation Induced Instabilities of Structures Coupled to a Flow1 Dynamics and Instabilities of Structures Coupled to a Flow; 1.1 Cross-Flow Instabilities; 1.2 Dynamic Instability by Negative Flow-Induced Damping; 1.3 Wing Instabilities Due to Mode Coupling; 1.4 Axial Flow Problems; 2 Damping Induced Instabilities of Structures Coupled to a Flow; 2.1 Damping Induced Instabilities of Wings; 2.2Intro; Preface; Contents; Flutter from Friction in Solids and Structures; 1 Introduction; 2 Flutter for Structural Systems; 2.1 The Ziegler Double Pendulum; 2.2 The Standard Case as a Reference: The Dead Load H on the Double Pendulum; 2.3 The Follower Force P on the Double Pendulum; 2.4 Surprising Effects Related to the Viscosity: The Ziegler Paradox; 2.5 The Deformation of an Elastic Rod: The Euler's Elastica; 2.6 Constitutive Equation and Dynamics; 2.7 The Beck and Pflüger Rods; 2.8 Self-adjointness, an Exclusion Condition for Flutter 2.9 Beyond the Linearized Solution: Limit Cycle Behaviour2.10 Follower Forces from Coulomb Friction; 2.11 Self-oscillating Systems; 3 Flutter in Frictional Solids; 3.1 Contact with Coulomb Friction Versus Nonassociative Elastoplasticity; 3.2 The Rate Equations of Nonassociative Elastoplasticity for Frictional Solids; 3.3 The Propagation of Incremental Plane Waves; 3.4 Strain Localization into Planar Bands; 3.5 The Analysis of the Acoustic Tensor and Flutter Instability; 4 Concluding Remarks on Flutter Instability in Structures and Solids; References Dissipation Induced Instabilities of Structures Coupled to a Flow1 Dynamics and Instabilities of Structures Coupled to a Flow; 1.1 Cross-Flow Instabilities; 1.2 Dynamic Instability by Negative Flow-Induced Damping; 1.3 Wing Instabilities Due to Mode Coupling; 1.4 Axial Flow Problems; 2 Damping Induced Instabilities of Structures Coupled to a Flow; 2.1 Damping Induced Instabilities of Wings; 2.2 The Fluid-Conveying Pipe Model System; 2.3 Conclusion; 3 Applications in Energy Harvesting; 3.1 Energy Converters; 3.2 Models of Energy Harvesting Systems Based on Flow-Induced Vibrations 3.3 ConclusionReferences; Some Surprising Conservative and Nonconservative Moments in the Dynamics of Rods and Rigid Bodies; 1 Introduction; 2 Background on Euler Angles and Bases; 2.1 The Euler and Dual Euler Bases; 2.2 Vector Representations; 3 Lagrange's Equations of Motion and the Newton-Euler Equations of Motion; 3.1 A Force FA Acting at a Material Point XA; 3.2 Ideal Integrable Constraints; 3.3 Potential Energies; 3.4 A Canonical Form, Equilibria, and Linearization; 4 Simple Conservative Moments; 4.1 A Simple Representation for a Conservative Moment; 4.2 Ziegler's Example Revisited 4.3 Torsional Springs5 The Case of a Fixed Axis of Rotation; 6 The Lagrange Top; 6.1 Kinematical Considerations; 6.2 Constraints and Constraint Forces; 6.3 Kinetic and Potential Energies; 6.4 The Equations of Motion; 6.5 Equilibria and Linearized Equations of Motion; 6.6 Solving for the Reaction Force; 7 The Satellite Dynamics Problem; References; Classical Results and Modern Approaches to Nonconservative Stability; 1 Introduction; 1.1 ``It was Greenhill who Started the Trouble...; 1.2 Greenhill's Shaft as a Non-self-adjoint Problem; 1.3 From Follower Torques to Follower Forces … (more)
- Publisher Details:
- Cham : Springer
- Publication Date:
- 2018
- Copyright Date:
- 2019
- Extent:
- 1 online resource
- Subjects:
- 515/.392
Engineering
Stability
Mechanics, Analytic
MATHEMATICS / Calculus
MATHEMATICS / Mathematical Analysis
Mechanics, Analytic
Stability
Technology & Engineering -- Material Science
Materials science
Mechanics
Mechanics, Applied
Materials
Science -- Mechanics -- Solids
Mechanics of solids
Electronic books - Languages:
- English
- ISBNs:
- 9783319937229
3319937227 - Related ISBNs:
- 9783319937212
3319937219 - Notes:
- Note: Includes bibliographical references.
Note: Online resource ; title from PDF title page (EBSCO, viewed July 16, 2018). - 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.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.367797
- Ingest File:
- 01_345.xml