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Modifying PASVART to solve singular nonlinear 2-point boundary problemsTo study the buckling and post-buckling behavior of shells and various other structures, one must solve a nonlinear 2-point boundary problem. Since closed-form analytic solutions for such problems are virtually nonexistent, numerical approximations are inevitable. This makes the availability of accurate and reliable software indispensable. In a series of papers Lentini and Pereyra, expanding on the work of Keller, developed PASVART: an adaptive finite difference solver for nonlinear 2-point boundary problems. While the program does produce extremely accurate solutions with great efficiency, it is hindered by a major limitation. PASVART will only locate isolated solutions of the problem. In buckling problems, the solution set is not unique. It will contain singular or bifurcation points, where different branches of the solution set may intersect. Thus, PASVART is useless precisely when the problem becomes interesting. To resolve this deficiency we propose a modification of PASVART that will enable the user to perform a more complete bifurcation analysis. PASVART would be combined with the Thurston bifurcation solution: as adaptation of Newton's method that was motivated by the work of Koiter 3 are reinterpreted in terms of an iterative computational method by Thurston.
Document ID
19890005535
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Fulton, James P. (Hampton Inst. VA, United States)
Date Acquired
September 5, 2013
Publication Date
September 1, 1988
Publication Information
Publication: NASA/American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program 1988
Subject Category
Numerical Analysis
Accession Number
89N14906
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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