Titlebook: Set-Valued Force Laws; Dynamics of Non-Smoo Christoph Glocker Book 2001 Springer-Verlag Berlin Heidelberg 2001 Drilling.Force Laws.Rigid Bo

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Fundamental Concepts,ces into internal and external forces as one of the key points in all of mechanics, followed by the introduction of the law of interaction as a general axiom. We then define the dynamic equilibrium via the Newton-Euler equations, and state the virtual work of a dynamic system together with some info

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Displacement and Velocity Potentials,some force laws connecting the external forces . with the system’s state (., .) are still missing. The topic of this chapter is thus to introduce a certain class of force laws, broad enough to cover most of the standard interaction models used in multibody dynamics. In particular, the theory should

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Representation of Scalar Force Laws, decomposition of the potentials . and .,with respect to application problems in multibody dynamics, and we will put together some equivalent representations of the force laws as it has been done, for example, in [101] by using concepts from non-smooth and (non-)convex analysis [9], [123], [24], [12

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Index Sets and LCP-Formulation,ep force elements . = 1,... ,.): A linear complementarity problem with maximal dimension 3. corresponding to the maximal number of unilateral primitives in use, i.e. the case that every force law is set-valued when expressed on the acceleration level; a variational inequality in terms of forces whic

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Spatial Coulomb Friction,ctical applications, however, we will present at least some mathematical formulations of the spatial problem. As we have seen, set-valued force laws may be conveniently stated in terms of complementarities which express the complementary behavior of forces and displacements or velocities, and which

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