Study of Deformation of Flexible Long Shallow Noncircular Cylindrical Panels with Clamped Longitudinal Edges by Refined Theory

Abstract

The basic equations and relations of geometrically nonlinear Tymoshenko type theory of transversely isotropic flexible long shallow noncircular cylindrical shells were considered and the solvable equation for the deflection of the shell was built on their basis. An exact analytical solution for the stress-strain state of a long non-circular cylindrical panel with clamped longitudinal edges under a uniformly distributed transverse load was obtained for the case of non-tensile normal forces in the middle surface. The calculation results by means of this solution were compared with the results of the exact analytical solution based on the Donnell-Mushtari-Vlasov theory. Deformation of long non-circular cylindrical panels was investigated in the supercritical region.

Keywords

• flexible long shallow noncircular cylindrical panel
• tymoshenko type theory of shells