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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Complementary variational principles for large deflections of a cantilever beam


Author: R. I. Reeves
Journal: Quart. Appl. Math. 33 (1975), 245-254
MSC: Primary 73.49
DOI: https://doi.org/10.1090/qam/449135
MathSciNet review: 449135
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Abstract: Recent results on complementary variational principles and error bounds are applied to two problems concerning the large deflection of a horizontal cantilever. The results are illustrated by obtaining accurate variational solutions in the form of simple polynomials.


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Article copyright: © Copyright 1975 American Mathematical Society