Sib. Èlektron. Mat. Izv., 2015, Volume 12, Pages 300–308
This article is cited in 3 scientific papers (total in 3 papers)
Differentical equations, dynamical systems and optimal control
Optimal control of tilt angles in equilibrium problems for the Timoshenko plate with a oblique crack
N. P. Lazarev, N. V. Neustroeva, N. A. Nikolaeva
North-Eastern Federal University, Belinsky, 58, 677891, Yakutsk, Russia
We consider an equilibrium problem of an elastic plate with a flat oblique crack (cut). Nonpenetration conditions on the crack faces are given in the form of inequalities. We investigate the dependence of the solution and energy functional with respect to variations of the crack's tilt angle. The existence of the solution to the optimal control problem is proved. For that problem the cost functional is defined by derivatives of a energy functional along the crack perturbation parameter and the crack's tilt angle is chosen as the control function.
oblique crack, optimal control, plate, variational inequality.
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Received April 27, 2015, published May 20, 2015
N. P. Lazarev, N. V. Neustroeva, N. A. Nikolaeva, “Optimal control of tilt angles in equilibrium problems for the Timoshenko plate with a oblique crack”, Sib. Èlektron. Mat. Izv., 12 (2015), 300–308
Citation in format AMSBIB
\by N.~P.~Lazarev, N.~V.~Neustroeva, N.~A.~Nikolaeva
\paper Optimal control of tilt angles in equilibrium problems for the Timoshenko plate with a oblique crack
\jour Sib. \`Elektron. Mat. Izv.
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