Abstract: The optimal control problems and a weight minimization problem are considered for elastic three-layered plate with inner obstacle and friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. We prove the existence of a solution to the ab...

the effect of a distributed patch mass on the natural frequency of vibration of a laminated rectangular plate with simply supported boundaries is investigated. the third order displacement field of a composite laminated rectangular plate is defined using the two variable refined plate theory. equations of motion of the plate are obtained with the help of calculus of variation. parametric study ...

Theproblemofpiezoelectric laminateswith speciŽ ed surface tractions and surface and internal electric potentials is studied. By writing the governing equations in the state-space formulation, employing an asymptotic expansion technique, and expressing electric displacement jumps across internal electrodes in terms of basic unknowns, the three-dimensional problem is reduced to a hierarchy of two...

Free asymmetric transverse vibration of a polar orthotropic thin annular plate with parabolically varying thickness in radial direction have been computed on the basis of classical plate theory considering both the peripheries of the plate elastically restrained against translation and rotation. The fourth order linear differential equation with variable coefficients governing the motion in the...

The problem of estimating the bending stress distribution in the neighborhood of a crack located on a single line in an orthotropic elastic plate of constant thickness subjected to bending moment or twisting moment is examined. Using classical plate theory and integral transform techniques, the general formulae for the bending moment and twisting moment in an elastic plate containing cracks loc...

Analysis for the generalized thermoelastic Lamb waves, which propagates in anisotropic thin plates in generalized thermoelasticity, is presented employing normal mode expansion method. The displacement and temperature fields are expressed by a summation of the symmetric and antisymmetric thermoelastic modes in the surface thermal stresses and thermal gradient free orthotropic plate, therefore t...

in this work, an inverse finite element formulation was modified for considering material anisotropy in obtaining blank shape and forming severity of deep drawn orthotropic parts. in this procedure, geometry of final part and thickness of initial blank sheet were known. after applying ideal forming formulations between material points of initial blank and final shape, an equation system was obt...