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Other titles in the Lecture Notes in Applied and Computational Mechanics series:

  1. Thermomechanics of Drying Processes
  2. Anisotropic Behaviour of Damaged Materials
  3. Deformation & Failure in Metallic Materi
  4. Dynamic Response of Granular and Porous Materials Under Large and Catastrophic Deformations
  5. Analysis and Simulation of Multifield Problems
  6. Advanced Mathematical and Computational Geomechanics
  7. Novel Approaches in Civil Engineering
  8. Micropolar Theory of Elasticity
  9. Theories of Plates and Shells
  10. Dynamics and Bifurcations of Non-smooth Mechanical Systems
  11. An Introduction to Computational Micromechanics
  12. Efficient Numerical Methods and Information-processing Techniques for Modeling Hydro- and Environmental Systems
  13. Mechanics of Elastic Structures With Inclined Members
  14. Mechanical Modelling and Computational Issues in Civil Engineering
  15. Uncertainty Assessment of Large Finite Element Systems
  16. Discrete Element Analysis Methods of Generic Differential Quadratures
  17. Static and Dynamic Coupled Fields in Bodies with Piezoeffects or Polarization Gradient
  18. Analysis and Simulation of Contact Problems
  19. Multifield Problems in Solid and Fluid Mechanics
  20. Boundary Element Analysis: Mathematical Aspects and Applications
  21. Micromechanics of Contact and Interphase Layers
  22. Mathematical Methods in Electro-Magneto-Elasticity
  23. Wave Propagation in Infinite Domains: With Applications to Structure Interaction
  24. Spectral Method in Multiaxial Random Fatigue
  25. Kinematics and Dynamics of Multibody Systems with Imperfect Joints: Models and Case Studies
  26. Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics
  27. Stability and Convergence of Mechanical Systems with Unilateral Constraints
  28. Dynamics and Balancing of Multibody Systems
  29. Dynamics of the Axially Moving Orthotropic Web
  30. Masonry Constructions: Mechanical Models and Numerical Applications
  31. Mechanical System Dynamics
  32. The Aerodynamics of Heavy Vehicles II: Trucks, Buses, and Trains
  33. Elastoplasticity Theory
  34. Vibro-Impact Dynamics: Modeling, Mapping and Applications
  35. Vibro-Impact Dynamics of Ocean Systems and Related Problems
  36. Convective Heat and Mass Transfer in Rotating Disk Systems
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Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics

by Christian Studer

Lecture Notes in Applied and Computational Mechanics #47: Numerics of Unilateral Contacts and Friction: Modeling and Numerical Time Integration in Non-Smooth Dynamics Cover

Synopses & Reviews

Publisher Comments:

This book is especially suited for people both in research and industry who are interested in the numerical simulation of mechanical systems with unilateral contacts and friction. Such systems can be found in various fields of technical application; consider for example contacts between wheels and ground in vehicle dynamics, walking machines, limit stops and friction in arbitrary kind of mechanisms or contacts between thousands of grains in granular mechanics. The book focuses mainly on rigid multibody systems dynamics with unilateral contacts and friction, however, the proposed non-smooth modeling approach is much more general and also well suited for non-rigid applications.

Four main topics are addressed:

  • Non-smooth modeling of unilateral contacts and friction by set valued force laws,
  • Mathematical evaluation of these laws using normal cone inclusions with associated projective equations,
  • Numerical time-stepping integration methods for non-smooth systems,
  • Implementation in a software code.

The book closes the gap between highly specialized mathematical literature and engineering application, gives an excellent overview on well established methods in non-smooth mechanics and opens new perspectives for the future development in this promising field of active research.

Product Details

ISBN:
9783642010996
Subtitle:
Modeling and Numerical Time Integration in Non-Smooth Dynamics
Author:
Studer, Christian
Publisher:
Springer
Subject:
Mechanical
Subject:
Applied
Subject:
Mechanics - General
Copyright:
Series:
Lecture Notes in Applied and Computational Mechanics
Series Volume:
47
Publication Date:
May 2009
Binding:
Hardcover
Language:
English
Pages:
182
Dimensions:
9.21x6.14x.50 in. .99 lbs.

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