In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...

Blow-up in second and fourth order semi-linear parabolic partial differential equations (PDEs) is considered in bounded regions of one, two and three spatial dimensions with uniform initial data. A phenomenon whereby singularities form at multiple points simultaneously is exhibited and explained by means of a singular perturbation theory. In the second order case we predict that points furthest...

We develop maximum principles for several P functions which are defined on solutions to equations of fourth and sixth order (including a equation which arises in plate theory and bending of cylindrical shells). As a consequence, we obtain uniqueness results for fourth and sixth order boundary value problems in arbitrary n dimensional domains.

In this research static deflection and free vibration of homogeneous nanobeams coated by a functionally graded (FG) layer is investigated according to the nonlocal elasticity theory. A higher order beam theory is used that does not need the shear correction factor. The equations of motion (equilibrium equations) are extracted by using Hamilton’s principle. The material properties are considered...

In this study, a PID controller was designed for the active vibration suppression of a smart beam equipped with PZT (Lead-Zirconate-Titanate) patches. The smart beam is a cantilever aluminium beam having eight symmetrically located surface-bonded piezoelectric patches. In this particular application, a group of PZT patches closed to the root of the beam was used as actuators and from the remain...

The transformation of a relational database schema into fourth normal form, which minimizes data redundancy, relies on the correct identification of multivalued dependencies. In this work, we study the learnability of multivalued dependency formulas (MVDF), which correspond to the logical theory behind multivalued dependencies. As we explain, MVDF lies between propositional Horn and 2-Quasi-Hor...

In this research, analysis of nonlocal magneto-electro-thermo-elastic of a functionally graded nanobeamdue to magneto-electro-elastic loads has been done. In order to formulate the problem the Timoshenko theory of beams is utilized. The principle of virtual work, Hamilton’s principle as well as nonlocal magneto-electro-thermo-elastic relations has been recruited to derive the governing eq...

Fundamental issues as the determination of gravity vacuum state, the mechanism which led the early universe to the today observed large scale structures, and the prediction of what will be the fate of the whole universe are all connected to the determination of cosmological constant. Besides, from several points of view, it seems that Einstein’s theory of gravity must be generalized to higher–o...

We study a mathematical model of hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The is modelled as mass spring system attached to the beam. To analyze free vibrations mechanical system, we consider corresponding spectral problem for fourth-order differential operator interface conditions that characterize dynamics. characteristic equation studied ana...

The propagation time of a signal, emitted by moving along an elliptical orbit satellite from the GPS (or GLONASS) confi gurations is very important ingredient theory, based on formalism null cone and accounting for effects General Relativity Theory. For case satellites, orbiting plane elliptic orbit, it has been proved that signal between satellites given combination integrals first, second thi...