Advanced topics in nonsmooth dynamics : transactions of the European Network for Nonsmooth Dynamics /: transactions of the European Network for Nonsmooth Dynamics. ([2018])

• Record Type: Book
• Further Information: Note: Remco I. Leine, Vincent Acary, Olivier Brüls, editors.
• Editors: Leine, Remco I; Acary, Vincent; Brüls, Olivier
• Other Names: European Network for Nonsmooth Dynamics.
• Contents: Intro; Preface; Contents; Comparisons of Multiple-Impact Laws For Multibody Systems: Moreau's Law, Binary Impacts, and the LZB Approach; 1 Introduction; 2 System's Dynamics; 3 The Multiple-Impact Models; 3.1 Moreau's Impact Law; 3.2 The Binary Impact Model; 3.3 The LZB Model; 4 Numerical Resolution; 4.1 Moreau's Impact Law; 4.2 Binary Collision Model; 4.3 LZB Impact Model; 5 Comparisons; 5.1 Free Chains of Aligned Beads; 5.2 Chains Impacting a Rigid Wall; 6 Conclusions; References; Variational Analysis of Inequality Impact Laws for Perfect Unilateral Constraints; 1 Introduction 2 Some Linear Algebra3 Dynamics of Multibody Systems; 4 Geometry of Impacts; 4.1 Subspaces of the Tangent Space; 4.2 Orthogonal Projectors on the Tangent Space; 5 Variational Analysis of Impact Laws; 5.1 Convex Analysis; 5.2 Impact Map in the Generalized Velocities; 5.3 Impact Map in the Contact Velocities; 5.4 Interrelations Between the Representations of an Impact Law; 6 Specific Impact Laws; 6.1 Generalized Newton's Impact Law; 6.2 Generalized Poisson's Impact Law; 7 Discussion on Variational Analysis of Impact Laws; 8 Concluding Remarks; References Periodic Motions of Coupled Impact Oscillators1 Introduction; 2 Analytical Study of Nonsmooth Modes; 2.1 Definitions and Basic Examples; 2.2 Boundary Value Problem; 2.3 Nondegenerate Modes and Continuation at Small Coupling; 2.4 Stability; 3 Numerical Computation of Nonsmooth Modes; 3.1 Site-Centered Breathers; 3.2 Bond-Centered Breathers; 3.3 Multiple Impacting Particles; 3.4 Long-Wavelength Modes; 4 Discussion; References; Mathematical Aspects of Vibro-Impact Problems; 1 Introduction; 2 Description of the Problem and Mathematical Framework; 3 Some Bad Mathematical Properties 4 Penalty Approach5 Time-Discretization at the Position Level; 6 Time-Discretization at the Velocity Level; 7 Conclusion; References; Nonsmooth Modal Analysis: From the Discrete to the Continuous Settings; 1 Introduction to Nonlinear Modal Analysis; 2 Nonsmooth Modal Analysis of Discrete Oscillators; 2.1 Necessity of an Impact Law; 2.2 Quasi-analytical Techniques in Simple Cases; 2.3 Numerical Techniques; 3 Nonsmooth Modal Analysis of Continuous Systems; 3.1 One-Dimensional Problem of Interest; 3.2 Analytical Solution; 3.3 Finite Volumes and the Wave Finite Element Method 3.4 Boundary Element Method3.5 Space-Time Finite Differences; 4 Relationships Between Forced Response and Nonsmooth Modes; 4.1 Discrete Oscillators; 4.2 Continuous Oscillators; 5 From Discrete to Continuous NSM: Similarities and Differences; 5.1 Without Unilateral Contact Constraints; 5.2 With Unilateral Contact Constraints; 6 Conclusion; References; Variational and Numerical Methods Based on the Bipotential and Application to the Frictional Contact; 1 Basic Tools; 2 What Is a Bipotential?; 3 Existence and Non-uniqueness of the Bipotential; 4 Bipotential Convex Cover
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource, illustrations
• Subjects: 515/.39; Engineering; Dynamics -- Mathematical models -- Congresses; Nonsmooth optimization -- Congresses; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Dynamics -- Mathematical models; Nonsmooth optimization; Engineering; Vibration, Dynamical Systems, Control; Computational Science and Engineering; Applications of Nonlinear Dynamics and Chaos Theory; Computers -- Computer Science; Science -- Chaotic Behavior in Systems; Maths for scientists; Nonlinear science; Vibration; Computer science; Technology & Engineering -- Mechanical; Dynamics & vibration; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319759722; 3319759728
• Related ISBNs: 9783319759715
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed June 13, 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.