Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 97, Issue 9, Pages 1100-1119Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.201600203
Keywords
Kinematic Structural Stability; Hilbert spaces; kinematic constraint; non self-adjoint operators; Hilbert basis; variational formulation
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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 inthornnite dimensional Hilbert spaces and non-self-adjoint operators. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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