Uniform convergence of mixed interpolated elements for Reissner-Mindlin plates
Uniform stabilization of some damped second order evolution equations with vanishing short memory
We consider a damped abstract second order evolution equation with an additional vanishing damping of Kelvin–Voigt type. Unlike the earlier work by Zuazua and Ervedoza, we do not assume the operator defining the main damping to be bounded. First, using a constructive frequency domain method coupled with a decomposition of frequencies and the introduction of a new variable, we show that if the limit system is exponentially stable, then this evolutionary system is uniformly − with respect to the calibration...
Unilateral dynamic contact of von Kármán plates with singular memory
The solvability of the contact problem is proved provided the plate is simply supported. The singular memory material is assumed. This makes it possible to get a priori estimates important for the strong convergence of gradients of velocities of solutions to the penalized problem.
Unsteady hydromagnetic free convection flow on a vertical infinite flat plate with suction
Vibrations of a folded plate
Von Kármán equations. III. Solvability of the von Kármán equations with conditions for geometry of the boundary of the domain
Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. It is shown that the corresponding functional of energy is coercive and weakly lower semicontinuous. Then the functional of energy attains absolute minimum which is a variational solution of the problem.
Weak solution of boundary value problem for the orthotropic plate reinforced with stiffening ribs
Weight minimization of an elastic plate with a unilateral inner obstacle by a mixed finite element method
Unilateral deflection problem of a clamped plate above a rigid inner obstacle is considered. The variable thickness of the plate is to be optimized to reach minimal weight under some constraints for maximal stresses. Since the constraints are expressed in terms of the bending moments only, Herrmann-Hellan finite element scheme is employed. The existence of an optimal thickness is proved and some convergence analysis for approximate penalized optimal design problem is presented.
Well-posedness and regularity results for a dynamic von Kármán plate.
Weyl formula with optimal remainder estimate of some elastic networks and applications
We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results.
Алгоритм вычисления механических импедансов ребер жесткости различной формы
Вариационная и краевая задачи с трением на внутренней границе.
Волновые процессы в вязкоупругой среде
Волны напряжений в многослойных пластинах
Динамическая реакция круглой ребристой пластины на силовое нагружение
Динамические напряжения в тонком упругом неоднородном диске переменной толщины, вызванные его вращением
Дифракция волн Лэмба на дефекте пластины типа риски
Задача о равновесии термоупругой пластины, содержащей трещину
Излучение коротких волн парой пластин, подкрепленных полубесконечным набором ребер жесткости
Исследование нестационарных упругих волн в слоистой полосе