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Titlebook: Nonsmooth Mechanics; Models, Dynamics and Bernard Brogliato Book 2016Latest edition Springer International Publishing Switzerland 2016 Comp

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Bernard Brogliatotickiness phenomenon. Section 2.1 differentiates between sticky cost behavior and the traditional assumption of symmetric or proportional changes in costs in response to changes in activity. For this purpose, Section 2.1 first presents the main findings from several research studies that provide ear
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Impulsive Dynamics and Measure Differential Equations,mechanics are first presented disregarding what they may be produced by. It is shown on simple examples why impulsive mechanics involves only measures (Dirac “functions”), and no distribution of higher degree (derivatives of the Dirac “function”). Various classes of measure differential equations (M
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Variational Principles, and then proceed with variational inequalities formalisms (equivalently inclusions into normal cones to tangent cones and convex sets), Fourier and Jourdain’s principles. The second part is dedicated to the Lagrange dynamics. The case with exogenous impulsive forces is obtained from the material of
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Two Rigid Bodies Colliding,unilateral constraint between the two bodies. Rigid body impact laws with or without friction are reviewed in details. Kinematic (Newton), kinetic (Poisson), and energetic (Stronge) coefficients of restitution are analyzed. Several examples are presented in details, as well as the Darboux-Keller’s i
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