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Impacts with Global Dissipation Index
Author(s) -
Glocker Ch.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<405::aid-pamm405>3.0.co;2-j
Subject(s) - tangent , regular polygon , mathematics , tangent space , dissipation , manifold (fluid mechanics) , geometry , mathematical analysis , boundary (topology) , interpretation (philosophy) , computer science , physics , engineering , mechanical engineering , thermodynamics , programming language
A geometric interpretation of Moreau's frictionless multi‐contact impact law is presented and extended to the case of reentrant corners, describing for example the corner‐corner impact problem of two rectangular blocks. The methods used are based on the geometry of cones. The main construction of the impact law for the convex case is done by the unique orthogonal decomposition of the pre‐impact velocity with respect to two orthogonal closed convex cones in the tangent space of the differential manifold, one of them approximating the non‐smooth boundary of the admissible domain in some neighborhood of the point of impact.