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Reduction of Second Order Unilateral Singular Systems. Applications in Mechanics
Author(s) -
Dumont Y.,
Goeleven D.,
Rochdi M.
Publication year - 2001
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 - 10.1002/1521-4001(200104)81:4<219::aid-zamm219>3.0.co;2-h
Subject(s) - differential inclusion , order (exchange) , reduction (mathematics) , stiffness , differential (mechanical device) , mathematics , mathematical analysis , physics , geometry , thermodynamics , finance , economics
The aim of this paper is to discuss the mathematical strategies permitting the treatment of second order unilateral systems involving singular mass, damping, and stiffness matrices. Reduction methods are used here to transform second order differential inclusions in first order ones and classical results on differential inclusions are considered in order to obtain solutions. Friction and impact problems arising in Unilateral Mechanics are studied so as to illustrate the theoretical approach.