Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity.
Effects of variations in nonlinear damping coefficients on the parametric vibration of a cantilever beam with a lumped mass.
Eigenfrequencies of generally restrained beams.
Eigenvalue problem and unbounded connected branch of positive solutions to a class of singular elastic beam equations.
Elastic membrane equation in bounded and unbounded domains.
Energy Convergence Results for Strongly Damped Nonlinear Wave Equations.
Error estimation and adaptivity for nonlinear FE analysis
An adaptive strategy for nonlinear finite-element analysis, based on the combination of error estimation and h-remeshing, is presented. Its two main ingredients are a residual-type error estimator and an unstructured quadrilateral mesh generator. The error estimator is based on simple local computations over the elements and the so-called patches. In contrast to other residual estimators, no flux splitting is required. The adaptive strategy is illustrated by means of a complex nonlinear problem:...
Exact boundary controllability of a hybrid system of elasticity by the HUM method
We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method
We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
Existence and boundary stabilization of the semilinear Mindlin-Timoshenko system.
Existence and non-existence of global solutions for nonlinear hyperbolic equations of higher order
The existence and uniqueness of classical global solution and blow up of non-global solution to the first boundary value problem and the second boundary value problem for the equation are proved. Finally, the results of the above problem are applied to the equation arising from nonlinear waves in elastic rods
Existence and uniqueness of equilibrium states of a rotating elastic rod.
Existence of maximal and minimal solutions to a boundary value problem for the equation of the bending of an elastic beam.
Existence of positive solutions of a discrete elastic beam equation.
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability of a flexible structure with history and thermal effect
In this paper we study the asymptotic behavior of a system composed of an integro-partial differential equation that models the longitudinal oscillation of a beam with a memory effect to which a thermal effect has been given by the Green-Naghdi model type III, being physically more accurate than the Fourier and Cattaneo models. To achieve this goal, we will use arguments from spectral theory, considering a suitable hypothesis of smoothness on the integro-partial differential equation.
Finite element computation of hyperelastic rods in large displacements
Forced oscillations of beams on elastic bearings.
General Tauberian theorem in .
Geometry of the free-sliding Bernoulli beam
If a variational problem comes with no boundary conditions prescribed beforehand, and yet these arise as a consequence of the variation process itself, we speak of the free boundary values variational problem. Such is, for instance, the problem of finding the shortest curve whose endpoints can slide along two prescribed curves. There exists a rigorous geometric way to formulate this sort of problems on smooth manifolds with boundary, which we review here in a friendly self-contained way. As an application,...