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Optimal design of bending elements
Author(s) -
Armand JeanLouis,
Lodier Bernard
Publication year - 1978
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.1620130211
Subject(s) - finite element method , constraint (computer aided design) , bending , bending moment , displacement (psychology) , constant (computer programming) , structural engineering , interpretation (philosophy) , optimal design , mathematics , moment (physics) , element (criminal law) , mathematical optimization , computer science , engineering , geometry , physics , classical mechanics , psychology , statistics , law , political science , psychotherapist , programming language
Derivation of an optimality criterion for finite element structural representations using constant‐moment plate‐bending triangular elements ispresented. Numerical examples of minimum‐mass design of both simply‐supported and clamped elastic plates for concentrated and distributed loading conditions under a single displacement constraint serve to illustrate the suggested procedure. Interpretation of the solution obtained and difficulties involved are discussed in the light of recent application of optimal control theory to structural optimization.