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On the stability of nonconservative continuous systems under kinematic constraints
Author(s) -
Lerbet J.,
Challamel N.,
Nicot F.,
Darve F.
Publication year - 2017
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.201600203
Subject(s) - kinematics , constraint (computer aided design) , divergence (linguistics) , mathematics , hilbert space , stability (learning theory) , mathematical analysis , control theory (sociology) , classical mechanics , computer science , geometry , physics , linguistics , philosophy , control (management) , machine learning , artificial intelligence
In this paper we deal with recent results on divergence kinematic structural stability (ki.s.s.) resulting from discrete nonconservative finite systems. We apply them to continuous nonconservative systems which are shown in the well‐known Beck column. When the column is constrained by an appropriate additional kinematic constraint, a certain value of the follower force may destabilize the system by divergence. We calculate its minimal value, as well as the optimal constraint. The analysis is carried out in the general framework of inÞnite dimensional Hilbert spaces and non‐self‐adjoint operators.