| The systemic and thorough researches on the strength problem of circumferentially stiffened non-circular cylindrical shells have been carried out in this thesis supported by the project be accomplished by cooperated with Wuhan Ship Design & Development Institute. The attention is focused on the modeling of this problem, solving method, and analyses of the basic mechanical properties. The presented a semi-analytical method for solving the strength problem is intended for providing a powerful tool for the design of such kind of structures. The obtained achievements are listed as follows:(1)By means of the Dirac-δfunction, the normal and tangential interacted forces between the lateral ribs and the cylindrical shell are considered and some important formulas are also derived using the compatible conditions of the displacements in the shell-rib interface. Those formulas mainly include the matrix ordinary differential equation of first order for non-circular cylindrical shells and lateral rib and the corresponding transfer matrix.(2)Based on the extended homogeneous capacity precision integration method and the Fourier's series expansion, a novel method is presented for analyzing a non-circular cylindrical shell stiffened by lateral ribs under external pressure by transferring state vectors of this shell in the circumferential direction.(3)The numerical results of several examples are in good agreement by comparison with the analytical solution and FEM results. It shows that the proposed method is very efficient for solving the problems under consideration.
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