Analytical solutions of openings formed by intersection of a cylindrical shell and an oblique nozzle under internal pressure
Department of Mechanical Engineering
Doctor of Philosophy
Sun, Benedict C.
Elastic plates and shells
Strain and stresses
Since several decades ago, many authors have published their research results about local stress distributions of shells and shell-nozzles both analytically and numerically. However, there has not been a published paper, which deals with analytical solutions of cylindrical shell and oblique nozzle, even though in the case of openings formed by intersection of a cylindrical shell and an oblique nozzle.
A comprehensive analytical study of local stress factors at the area of openings formed by intersection of a cylindrical shell and an oblique nozzle under internal pressure is presented in this dissertation.
By means of traditional approach in theory of elasticity, geometric equations, physical equations and equilibrium equations are derived and then simplified under the conditions of thin shell and internal pressure. The concepts of normalized forces and moments in the mid-surface are established to make all governing partial differential equations mathematically solvable.
This dissertation mathematically determines the exact geometric description of intersection formed by a cylindrical shell and an oblique nozzle. This result is not only the boundary conditions of the present study, but also a basis for analytical solutions of intersection formed by a cylindrical shell and an elliptical nozzle in the future.
Introducing the displacement function, this study combines the geometric equations, physical equations, equilibrium equations and boundary conditions to obtain the analytical solutions.
Finally, this dissertation calculates the results of five cases, which correspond to the intersection angles of 90°, 75°, 60°, 45° and 30° respectively. The results are presented in the forms of stress concentration factors (SCF) and described in the fourteen figures. The typical calculations indicate:
njit-etd1997-019 (124 pages ~ 3,920 KB pdf)
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Created April 1, 2002