ANALYSIS OF CIRCULAR CYLINDRICAL SHELLS CONTAINING RECTANGULAR OPENINGS WITH STIFFENED EDGES.
Abstract
In this study, a discrete element physical analogue model is developed for the analysis of elastic cylindrical shells containing rectangular openings. Reinforcing edge beams about the perimeters of the openings are considered. The model is a rectangular framework of weightless rigid bars connected by deformable nodes. Solutions are found for this network which approximates the shell continuum. The physical properties of the replaced shell are considered concentrated at the nodes. The displacements u, v and w of the shell in the longitudinal, transverse and radial directions, respectively, are defined at the junctions of the rigid bars. Expressions for the membrane forces and bending moments in the shell are given in terms of the displacements. Using the principle of virtual work, equilibrium equations are developed at each node point in terms of the unknown displacements. The resulting set of linear simultaneous equations is solved for these displacements. Forces and moments in the shell can then be obtained from the force-displacement relations. The edge beams which stiffen the shell at the openings are symmetrical in reference to the middle surface of the shell. Edge beam internal torsion, bending moments, and axial forces are taken into account in the equilibrium equations. Numerical results are presented for representative shell problems in which the size and type of the shell, dimensions of the holes, stiffnesses of the edge beams, and types of loading are varied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1966
- Accession Number
- AD0636187
Entities
People
- R. E. Pinckert
- W. C. Schnobrich
Organizations
- University of Illinois Urbana–Champaign