Abstract
The stress analysis based on the theory of a thin shell is carried out for two normally intersecting cylindrical shells with a large diameter ratio. Instead of the Donnell shallow shell equation, the modified Morley equation, which is applicable to ϱ 0( R T ) 1 2 ⪢ 1 , is used for the analysis of the shell with cut-out. The solution in terms of displacement function for the nozzle with a non-planar end is based on the Love equation. The boundary forces and displacements at the interaction are all transformed from Gaussian coordinates (α, β) on the shell, or Gaussian coordinates (ξ, θ) on the nozzle into three-dimensional cylindrical coordinates (π, θ, z). Their expressions on the intersecting curve are periodic functions of θ and expanded in Fourier series. Every harmonics of Fourier coefficients of boundary forces and displacements are obtained by numerical quadrature. The results obtained are in agreement with those from the finite element method and experiments for d/D ⩽ 0.8.
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