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Singularities in differential‐algebraic systems with unilateral constraints
Author(s) -
Arnold M.
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781504
Subject(s) - gravitational singularity , piecewise , differentiable function , algebraic number , regularization (linguistics) , mathematics , differential (mechanical device) , mechanical system , position (finance) , mathematical analysis , computer science , physics , artificial intelligence , thermodynamics , finance , economics
Inequality (unilateral) constraints may introduce various types of singularities in differential‐algebraic systems ([5]). In the present paper we consider contact conditions that are formulated as unilateral constraints for position and velocity coordinates in a mechanical multibody system. If the surfaces of the bodies being in contact are worn then the contact conditions result often in constraints that are only piecewise differentiable. We discuss a regularization that considers qualitatively the elastic deformation of the bodies.