Tenká kruhová deska na pružném podkladu
The asymptotical stability of a dynamic system uppercasewith structural damping
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
The balayage method: boundary control of a thermo-elastic plate
We discuss the null boundary controllability of a linear thermo-elastic plate. The method employs a smoothing property of the system of PDEs which allows the boundary controls to be calculated directly by solving two Cauchy problems.
The bowed narrow plate model.
The contact problem for an elastic orthotropic plate supported by periodically located bars of equal resistance.
The convergence of a Galerkin approximation scheme for an extensible beam
The convergence of a new method for calculating lower bounds to eigenvalues
The discontinuous boundary problem for transversally-isotopic plates containing linear defects.
The dynamics of Cosserat nets.
The Equation of Motion of a Chain.
The existence of a solution and a numerical method for the Timoshenko nonlinear wave system
The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by a version of...
The existence of a solution and a numerical method for the Timoshenko nonlinear wave system
The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by a version...
The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics.
The fundamental solution for a consistent complex model of the shallow shell equations.
The inf-sup condition and error estimates for the Arnold-Falk plate bending element.
The large deformation of nonlinearly elastic shells in axisymmetric flows
The lightest plane structures of a bounded stress level transmitting a point load to a circular support
The method of a small parameter for the shallow shells.
The method of smooth domains in the equilibrium problem for a plate with a crack.
The nonconforming finite element method in the problem of clamped plate with ribs