TRANSVERSE BENDING OF A THIN PERFORATED PLATE WEAKENED BY RECTILINEAR CRACKS WITH END ZONES OF PLASTIC DEFORMATION

Abstract

We give a problem solution for transverse bending of a thin plate, clamped at holes edges and weakened by doubly periodic system of rectilinear through cracks with unequal length, collinear to abscissa and ordinate axes plastic end zones. We construct the general representa- tion of the solutions describing the class of problems with a doubly periodic distribution of moments out of the circular holes and rectilinear cracks with end zones of plastic deforma- tions. Satisfying the boundary conditions, the solution of the plate bending theory problem is reduced to two infinite systems of algebraic equations and two singular integral equations. Then, each of the singular integral equations reduces to finite system of linear algebraic equa- tions

Keywords

• перфорированная тонкая пластина
• прямолинейные трещи- ны с концевыми зонами
• поперечный изгиб
• зоны пластических деформаций