Analysis of Cylindroid Shell Subject to Internal Linearly-Increased Pressure

Abstract

Close cylindroid shells are widely used in many industrial branches. Membrane theory of shells is used to take an analytical solution to investigate the internal force distributions and deformation laws of such shells. The result shows that, under the condition of two-point simple supports, among three force components(meridional forceT1, circumferential forceT2, and shear forceT12),T1is the dominant one, which is negative (compressional) in the vicinity of the neutral axis, and becomes positive (tensional) after being away from the neutral axis. The shear forceT12is rather like a sine curve, which changes its sign at the neutral axis. This type of shear force distribution leads to a warp deformation within the cylinder.T2is always the tensional force, and when comparing to the other two components, it is too small to be dominant in shell designing. Somewhat similar to the three force components, among the three deformation components, the normal displacementwis the extreme one, and also it varies acutely. The circumferential displacementvis much less thanw, which is compressive below the neutral axis, and becomes tensile above the neutral axis. In the nearby of neutral axis,vis nearly zero. Compared towandv, the meridional displacementuis always the minimal.