Structural optimization by methods of feasible directions

A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal effic...

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Published inComputers & structures Vol. 3; no. 4; pp. 739 - 755
Main Authors Vanderplaats, Garret N., Moses, Fred
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.1973
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ISSN0045-7949
1879-2243
DOI10.1016/0045-7949(73)90055-2

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Abstract A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal efficiently with infeasible designs. The algorithm requires the analytic gradient of the objective function and the constraint functions which are active at a given stage in the design process. Gradient information is not required for nonactive constraints. Complex constraint functions may be ignored in the initial design stages because violation of these constraints is efficiently overcome later in the design process. The algorithm is demonstrated with elastic design of redundant trusses.
AbstractList A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to structural design. This method is modified to improve numerical stability of the design process and is then further modified to deal efficiently with infeasible designs. The algorithm requires the analytic gradient of the objective function and the constraint functions which are active at a given stage in the design process. Gradient information is not required for nonactive constraints. Complex constraint functions may be ignored in the initial design stages because violation of these constraints is efficiently overcome later in the design process. The algorithm is demonstrated with elastic design of redundant trusses.
Author Vanderplaats, Garret N.
Moses, Fred
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  surname: Moses
  fullname: Moses, Fred
  organization: Case Western Reserve University, Cleveland, Ohio, U.S.A
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10.1061/JSDEAG.0003181
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Snippet A general design algorithm based on methods of feasible directions is presented. Zoutendijk's method of feasible directions is first presented as applied to...
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