Set-Valued Force Laws Dynamics of Non-Smooth Systems /

• Κύριος συγγραφέας: Glocker, Christoph (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Έκδοση: 1st ed. 2001.
• Σειρά: Lecture Notes in Applied and Computational Mechanics, 1
• Θέματα: Mechanics.; Applied mathematics.; Engineering mathematics.; Mechanics, Applied.; Computational intelligence.; Classical Mechanics.; Applications of Mathematics.; Theoretical and Applied Mechanics.; Computational Intelligence.

As one of the oldest natural sciences, mechanics occupies a certain pioneering role in determining the development of exact sciences through its interaction with mathematics. As a matter of fact, there is hardly an area in mathematics that hasn't found an application of some form in mechanics....

Πίνακας περιεχομένων:

• 1. Introduction
• 1.1 Friction Laws
• 1.2 Literature Survey
• 1.3 Subjects and Contents
• 2. Fundamental Concepts
• 2.1 Internal and External Forces
• 2.2 The Law of Interaction
• 2.3 The Dynamic Equilibrium
• 2.4 The Virtual Work of a Dynamic System
• 2.5 Resultant Force and Inertia Terms
• 3. Rigid Body Systems
• 3.1 Preliminaries on the Vector Product
• 3.2 Rigid Body Kinematics
• 3.3 Rigid Body Kinetics
• 3.4 The Dynamic Equilibrium of a Rigid Body
• 3.5 The Virtual Work of a Rigid Body System
• 3.6 Classical Bilateral Constraints
• 3.7 Generalized Coordinates
• 4. Motion and Discontinuity Events
• 4.1 Preliminaries on Integration of Functions
• 4.2 Displacements, Velocities, and Accelerations
• 4.3 Restriction to Finite Numbers of Discontinuities
• 5. Displacement and Velocity Potentials
• 5.1 Directional Newton-Euler Equations
• 5.2 Set-Valued Force Laws
• 5.3 Scalar Potential Functions
• 5.4 On the Modeling of Force Laws
• 6. Representation of Scalar Force Laws
• 6.1 Decomposition into Unilateral Primitives
• 6.2 Variational Formulations and Upper Subderivatives
• 6.3 The Convex Case: Conjugate Potentials and Duality
• 6.4 Force Elements in Engineering Dynamics
• 7. Force Laws on Different Kinematic Levels
• 7.1 Continuity Properties of the Trajectories
• 7.2 Displacement Force Laws on Acceleration Level
• 7.3 Velocity Force Laws on Acceleration Level
• 8. Index Sets and LCP-Formulation
• 8.1 Index Sets
• 8.2 Formulation on Different Kinematic Levels
• 8.3 The Linear Complementarity Problem
• 8.4 The Dual Principle of Least Constraints
• 9. Principles in Dynamics
• 9.1 The Principle of Least Constraints
• 9.2 The Principle of Gauß
• 9.3 The Principle of Jourdain
• 9.4 The Principle of d'Alembert/Lagrange
• 9.5 Remarks on d'Alembert/Lagrange's Principle
• 10. Spatial Coulomb Friction
• 10.1 Geometry of Surfaces
• 10.2 Contact Kinematics
• 10.3 Kinetics
• 10.4 Contact Laws
• 10.5 Sliding Contacts
• 10.6 Friction Pyramid for Rolling Contacts
• 10.7 Friction Cones and NCP Formulations
• 10.8 A Differentiable NCP for Rolling Contacts
• 10.9 Example and Remarks
• 11. Velocity Jumps due to C0-Constraints
• 11.1 On Impacts in Mechanical Systems
• 11.2 Mechanical Model and Problem
• 11.3 Bilaterally Constrained Motion
• 11.4 Velocity Jump by Time-Scaling
• 11.5 Velocity Jump by Reflection
• 11.6 Reflections and Collisions - Remarks
• 12. Electropneumatic Drilling Machine
• 12.1 Mechanical Model
• 12.2 Simulations
• 13. Percussion Drilling Machine
• 13.1 Mechanical Model of the Drilling Machine
• 13.2 Mathematical Model for Non-Contact
• 13.3 The Contact Model
• 13.4 State Transitions
• 13.5 Results
• 14. Turbine Blade Damper
• 14.1 The Damper Model and the Non-Contact Case
• 14.2 Contact Kinematics of the Damping Device
• 14.3 Numerical Results
• 15. Concluding Remarks
• References.