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Computing alternative optimal collapse mechanisms
Author(s) -
Tam T. K. H.,
Jennings A.
Publication year - 1992
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.1620330607
Subject(s) - mechanism (biology) , kinematics , frame (networking) , simple (philosophy) , computer science , mode (computer interface) , mathematical optimization , mathematics , classical mechanics , physics , telecommunications , epistemology , quantum mechanics , operating system , philosophy
Optimal plastic designs for structural frames can be obtained via static or kinematic considerations, each leading to a mathematical model requiring solution by linear programming. In both cases a mechanism can be found which satisfies the Foulkes optimality condition. However, this mechanism generally has many degrees of freedom and is most unlikely to be the actual collapse mode of the frame. A simple algorithm based on the method of redundant forces is presented for the automatic generation of the alternative optimal collapse mechanisms, any of which may be the actual collapse mode.