The comparative study of vibration control of flexible structure using smart materials.
The convergence of a Galerkin approximation scheme for an extensible beam
The dynamics of a tied body against an obstacle
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 global solubility of problems of nonlinear vibrations of plates on nonlinear foundations.
The stability study of a plane engine
We study the dynamical properties of a plane engine vibrations modelled by a system of ODE.
The transversal creeping vibrations of a nonhomogeneous beam with fractional derivative order constitutive relation.
Three-dimensional mathematical problems of thermoelasticity of anisotropic bodies. I.
Torsional and longitudinal vibration of suspension bridge subject to aerodynamic forces.
Torsional vibrations of nonhomogeneous magnetostrictive elastic circular cylinder.
Tracking control of a vibrating string with an interior mass viewed as delay system
Tracking control of a vibrating string with an interior mass viewed as delay system
A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.
Two-dimensional steady-state oscillation problems of anisotropic elasticity.