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A compact Fortran sequence for limit analysis
Author(s) -
Livesley R. K.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620050313
Subject(s) - sequence (biology) , fortran , truss , limit analysis , limit (mathematics) , computer science , linear programming , bounded function , simplex , matrix (chemical analysis) , simplex algorithm , algorithm , frame (networking) , mathematics , mathematical optimization , structural engineering , programming language , geometry , mathematical analysis , engineering , materials science , upper and lower bounds , telecommunications , genetics , composite material , biology
Abstract This note presents a FORTRAN sequence for solving a particular case of the ‘bounded variables’ problem. 1 It is this problem, rather than the standard linear programming problem, which appears when systematic matrix methods are applied to the rigid‐plastic collapse analysis of a plane frame or truss The method uses considerably less storage than a standard simplex approach, and produces the collapse mode as a by‐product of the calculation. The sequence is part of a complete program for the plastic collapse analysis of frameworks, details of which may be obtained from the author.