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Reanalysis-based optimal design of trusses
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.
Reanalysis-based optimal design of trusses
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.
Reanalysis-based optimal design of trusses
Leu, Liang-Jenq (author) / Huang, Chang-Wei (author)
International Journal for Numerical Methods in Engineering ; 49 ; 1007-1028
2000
22 Seiten, 23 Quellen
Article (Journal)
English
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