MATHEMATICAL MODELS OF THE IMPROVEMENTED CALCULATION ON DURABILITY OF CONTINUOUS AVIATION CONNECTIONS WITH ACCOUNT OF THEIR COMPLIANCE

Mathematical models and algorithms for the calculation, which allows to improvethe strain-stress state of continuous aviation connections and joints with variation in wall thick- ness are constructed.The boundary-value problem by definition of a stress state of a bound- aryplane strain ("boundary layer" type) for rigid fixed edges of a cylindrical shell and an annu- lar plate at axisymmetric loading is formulated and solved. Calculations of stresses in flange connection are carried out. Graphs of these stresses on a thickness of a plate and a shell are constructed.The boundary-value problem by "boundary layer" definition is modified for the account of connected elements of structures compliance is modified and the estimation of its influence is given

nonclassical theory of plates and shells, cylindrical shell, the fringe effect, annular plate, boundary plane strain, boundary-value problem, polynomial approximates func- tion, resolving system of differential equations, the natural boundary conditions, normal, lon- gitudinal and transverse stresses, shear stresses, flange connection, Flaman-Boussinesq's prob- lem, elastic properties of materials