Abstract The Kirchhoff-Love hypothesis expresses a kinematic constraint that is assumed to be valid for the deformations of three-dimensional body when one its dimensions much smaller than other two, as case plates. This has long history checkered with vicissitudes life: even paternity been questioned, and recent rigorous dimension-reduction tools (based on standard $\varGamma $ <mml:math xmlns...

We propose a mathematical model of vibration elastic systems formed by conjugated shells revolution with different geometry in the field combined static axisymmetric loads. The is based on concepts geometrically nonlinear theory mean bending and realized within framework classical Kirchhoff–Love use contemporary methods applied mathematics numerical analysis. spectral picture shell structure el...

A Simple three-node Discrete Kirchhoff Triangular (SDKT) plate bending element is proposed in this study to overcome some inherent difficulties and provide efficient dependable solutions engineering practice for thin structure analyses. Different from the popular DKT (Discrete Theory) triangular element, using compatible trial function transverse displacement along sides, construction of presen...

the isogeometric analysis is increasingly used in various engineering problems. it is based on non-uniform rational b-splines (nurbs) basis function applied for the solution field approximation and the geometry description. one of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. the main contri...

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 ...

The problem of flexural wave diffraction by a semi-infinite crack in an infinite orthotropic thin plate is considered. Such models have application to the ultrasonic non-destructive inspection of thin components, such as aeroplane wings. For simplicity, the plate is modelled using Kirchhoff theory, and the crack is chosen to be aligned along one of the principal directions of material orthotrop...

this deals with the harmonic forced vibration of a circular plate surface bonded by two piezoelectric layers, based on the kirchhoff plate model. the form of electric potential field in the piezoelectric layer is assumed such that the maxwell static electricity equation is satisfied. the differential equations of motion are solved analytically for clamped edge boundary condition of the plate. t...