Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1997 50(3):333-347; doi:10.1093/qjmam/50.3.333
© 1997 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 CAO, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

COMPUTER-EXTENDED PERTURBATION SOLUTION FOR THE LARGE DEFLECTION OF A CIRCULAR PLATE. PART II: CENTRAL LOADING WITH CLAMPED EDGE

JINGJUN CAO

( Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University California 94305–4040, USA )

As the second part of an effort to introduce a computer-extended series solution into the field of solid mechanics, von Kīrmīn's nonlinear plate equations are solved for central-point loading of a circular plate by expanding the solution in powers of the maximum deflection Wm to 60 terms. The series solution is analysed using the recent technique of differential approximants together with more conventional methods. Convergence is found to be limited by a non-physical square-root singularity located on the negative axis of Wm2. Mapping that singularity away to infinity extends the radius of convergence to infinity. Extracting the asymptotic solution for extremely large deflection gives the membrane limit which agrees with the closed-form solution.


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.