Reduction of Second Order Unilateral Singular Systems. Applications in Mechanics.

Authors :: Dumont, Y.
Goeleven, D.
Rochdi, M.
Source :: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Apr2001, Vol. 81 Issue 4, p219-245, 27p, 4 Diagrams, 6 Charts, 5 Graphs
Publication Year :: 2001
Abstract: 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. [ABSTRACT FROM AUTHOR]

Subjects :: MATHEMATICS
MATRICES (Mathematics)
MECHANICS (Physics)
MATHEMATICAL analysis
ORDERED groups

Language :: English
ISSN :: 00442267
Volume :: 81
Issue :: 4
Database :: Complementary Index
Journal :: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Publication Type :: Academic Journal
Accession number :: 13349521
Full Text :: https://doi.org/10.1002/1521-4001(200104)81:4<219::AID-ZAMM219>3.0.CO;2-H

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