The bending of two semi-infinite beams on the edge of elastic half-plane with flat punch
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2010, Vol 63, Issue 4
Abstract
The contact problem of bending of two semi-infinite beams (plates in the condition of cylindrical bending) free lying on the border of elastic half-plane is considered. The bending is carriying out by symmetrically located , with regard to beams, rigid, smooth punch with plane foundation in the framework of classical theory of beam bending. The problem solution is brought to the system of two integral equations concerning contact stresses under the punch ( Fredholm equation of II type with continuous kernel) and deformation of boundary points of half- plane between beams (singular equation with Cauchy kernel).The solution of given equations are brought to quasicomplete regular infinite system of linear algebraic equations. It is shown that in the boundary points of punch the concentrated force and concentrated moment are appeared.
Authors and Affiliations
Karo Aghayan
On Singularities of Stresses in One Problem of Electroelasticity Theory for a Wedge
The solution of a plane problem of electroelastisity for a thin piezoelectric wedge is built. On the bounds of the wedge the zero tangential stresses and the normal displacement values are given. On the bounds of the wed...
On the plane vibration of circular diskes.
c
A model of Materials Fatigue Failure under Composite Stress State.
c
On some methods in the physical non-linear theory of three-layer plates.
c
The determination of motion parameters of the fluid in the problem for diffraction of a strong magnetogasdynamic shock wave at the angle close to a blunt one.
c