警告 发表于 2025-3-26 21:52:35
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 infoAdrenal-Glands 发表于 2025-3-27 01:57:08
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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 shouldObstreperous 发表于 2025-3-27 15:08:57
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 by using concepts from non-smooth and (non-)convex analysis , , , [12谄媚于性 发表于 2025-3-27 18:43:06
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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 whicorganic-matrix 发表于 2025-3-28 03:12:08
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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 whichFlounder 发表于 2025-3-28 12:03:00
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