Premium
Optimal shape of an elastic rod in flexural – torsional buckling
Author(s) -
Atanackovic T.M.
Publication year - 2007
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200610323
Subject(s) - buckling , moment (physics) , structural engineering , flexural strength , constant (computer programming) , cross section (physics) , rod , materials science , mathematics , classical mechanics , physics , composite material , engineering , computer science , quantum mechanics , programming language , medicine , alternative medicine , pathology
Abstract Optimal shape of an elastic rod subjected to flexural‐torsional buckling is studied. The rod with constant‐cross section is the strongest rod for the case when a rod is subjected to equal end moments only. For the case when the rod is loaded with compressive force and the moment, optimal shape is determined by numerical integration for several values of parameters. In deriving the optimality conditions, the Pontriyagin's principle was used.