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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.

Applications of Mathematics. --- Contact mechanics -- Mathematical models. --- Friction -- Mathematical models. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Nonlinear systems. --- Dynamics. --- Dynamical systems --- Kinetics --- Systems, Nonlinear --- Engineering. --- Algebra. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Structural mechanics. --- Vibration. --- Dynamical systems. --- Mechanical engineering. --- Mechanical Engineering. --- Vibration, Dynamical Systems, Control. --- Structural Mechanics. --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Cycles --- Sound --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Structural engineering --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Engineering analysis --- Mathematical analysis --- Construction --- Industrial arts --- Technology --- System theory --- Mechanics, Applied. --- Mathematics. --- Classical Mechanics. --- Solid Mechanics. --- Math --- Science --- Applied mechanics --- Engineering mathematics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Mathematics --- Classical mechanics. Field theory --- Engineering sciences. Technology --- analyse (wiskunde) --- toegepaste wiskunde --- ingenieurswetenschappen --- mechanica --- dynamica