Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1993 46(2):311-330; doi:10.1093/qjmam/46.2.311
© 1993 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by WOLFE, P.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

DEFORMATION OF RODS WITH SMALL BENDING STIFFNESS

PETER WOLFE

( Department of Mathematics, University of Maryland College Park, Maryland 20742, USA )

In this paper we continue the study of the deformation of a rod with small bending stiffness begun in two earlier papers. In the theory that we have developed problems are posed as singular perturbations of problems in which the rod is replaced by a string having no resistance to bending. In this paper we apply a general theory of singular perturbations for boundary-value problems for nonlinear systems of ordinary differential equations to obtain our result. This result consists of a construction of an approximate solution to a model problem of the deformation of a rod with small bending stiffness, together with a proof that our solution approximates an exact solution to the problem. Our approximate solution consists of an interior approximation which is a solution of the string problem together with boundary-layer correction terms. The most important point of the paper is the construction of these boundary-layer terms. We also consider a case in which our construction fails together with an example which serves to illuminate this situation.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.