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Reanalysis‐based optimal design of trusses
Author(s) -
Leu LiangJenq,
Huang ChangWei
Publication year - 2000
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 - 10.1002/1097-0207(20001120)49:8<1007::aid-nme988>3.0.co;2-p
Subject(s) - truss , optimal design , basis (linear algebra) , mathematical optimization , process (computing) , engineering design process , computer science , measure (data warehouse) , algorithm , mathematics , engineering , data mining , structural engineering , machine learning , mechanical engineering , geometry , operating system
This paper presents a structural reanalysis method and its applications in optimal design of trusses. This reanalysis technique is derived primarily on the basis of a reduced basis formulation, and it has several advantages over previous reduced basis methods. In particular, the reduced system is uncoupled by using a Gram–Schmidt orthonormalization procedure and an error measure is introduced to adaptively monitor whether a good approximate solution is achieved. The latter aspect makes this reanalysis method suitable for use in optimal design problems because the changes in design variables usually vary during a design process. Discussions are presented on the implementation of this reanalysis method using both mathematical programming and optimality criteria‐based optimization schemes. Finally, several example problems of optimal truss design are used to validate the proposed reanalysis‐based design procedure. The presented numerical results indicate that the new reanalysis technique affects very slightly the accuracy of the optimal solutions and it does speed up the design process when the system analysed is large. Copyright © 2000 John Wiley & Sons, Ltd.