NUMERICAL STRESS ANALYSIS OF CIRCULAR CYLINDRICAL SHELLS. PART III. A VARIATIONAL SOLUTION OF THE INTERSECTION PROBLEM
Abstract
Approximate solutions of an intersection problem for circular cylindrical shells are obtained. The applicability of the method developed for this purpose extends beyond the specific application presented. It is based on the application of the Ritz method to the potential energy stored in the boundary region of the deformed shell. Use of Lagrange multipliers has helped to greatly simplify the algebra. Listings of IBM 704 programs for every stage of the procedure are presented together with input and output information. Numerical results are presented in the form of tables of integrals which permit the application of the method to a wide range of problems. A simple application serves to illustrate the method and to justify its analytical basis. Suggestions for further investigations include a parametric study of different cylinder ratios, boundary conditions and shell theories. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1961
- Accession Number
- AD0259356
Entities
People
- J.r.m. Radok
- Marie Wolfson
- Tyn Myint
Organizations
- New York University Tandon School of Engineering