Topological derivative for linear elastic plate bending problems
Torsional instabilities of Greenhill type in elastic rods
Torsional rigidity of circular sectors bars.
Tracking control of a flexible beam by nonlinear boundary feedback.
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 mixed finite element methods for the simply supported plate problem
Two remarks on the stability of generalized hemivariational inequalities.
Two-dimensional models of fabrics
Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation
In this paper, we are interested in the study of bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations with small perturbation by using local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the elastic beams equation is given by the nonlinear system of two equations. Also, we found the parameters equation of the Discriminant set of the specified problem as well as the bifurcation diagram.
Two-sided bounds of eigenvalues of second- and fourth-order elliptic operators
This article presents an idea in the finite element methods (FEMs) for obtaining two-sided bounds of exact eigenvalues. This approach is based on the combination of nonconforming methods giving lower bounds of the eigenvalues and a postprocessing technique using conforming finite elements. Our results hold for the second and fourth-order problems defined on two-dimensional domains. First, we list analytic and experimental results concerning triangular and rectangular nonconforming elements which...