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- W2183631775 abstract "Summary. Using tools from convex analysis we reveal important mathematical properties of inequality impact laws such as the generalized Newton’s impact law. A key issue is the identific ation of the mathematical entities in which the relationshi ps between these properties become apparent. In this paper we show that the ‘mean’ contact velocity, being half the sum of the pre- and post -impact contact velocity, is dual to the impact impulsive force. Her e, a (set-valued) mapping between these dual variables is introduced and we prove that its maximal monotonicity is equivalent to the non-expansivity of the impact map from pre- to post-impact velocities. Explicit expressions of these mappings are given for the generalized Newton’s impact law with global restitution coefficient." @default.
- W2183631775 created "2016-06-24" @default.
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- W2183631775 date "2014-01-01" @default.
- W2183631775 modified "2023-09-27" @default.
- W2183631775 title "Variational analysis of inequality impact laws" @default.
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