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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2005, Volume 11, Number 1, Pages 177–188 (Mi timm179)  
Stability of elastic systems under one-sided constraints on displacements

V. N. Tarasov
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Abstract: Problems of the stability of elastic systems under one-sided constraints on displacements are considered. These problems are reduced to finding bifurcation points of nonsmooth functionals or to determining parameters for which a certain variational problem with inequality constraints has a nontrivial solution. The stability problem for a rectangular plate whose flexures are confined from one side by rigid ribs is solved.
Received: 17.09.2004
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: V. N. Tarasov, “Stability of elastic systems under one-sided constraints on displacements”, Dynamical systems and control problems, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 1, 2005, 177–188; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S209–S221
Citation in format AMSBIB
\Bibitem{Tar05}
\by V.~N.~Tarasov
\paper Stability of elastic systems under one-sided constraints on displacements
\inbook Dynamical systems and control problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2005
\vol 11
\issue 1
\pages 177--188
\mathnet{http://mi.mathnet.ru/timm179}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157140}
\zmath{https://zbmath.org/?q=an:1142.74329}
\elib{https://elibrary.ru/item.asp?id=12040694}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2005
\issue , suppl. 1
\pages S209--S221
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